JEE Main 2015 Question Paper 11 Apr B.Tech with Answer Key
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Page 1
JEE Main 2015
Question Paper & Answers
For JEE Main Complete Information
visit
http://admission./jee-main/
Question Paper & Answers
For JEE Main Complete Information
visit
http://admission./jee-main/
Page 2
JEE Main Question Paper 11 Apr 2015
Page 1 PHYSICS : English & Hindi 01
1. If electronic charge e, electron mass m, 1. ØçÎ §ÜðÅþUæòÙ-¥æßðàæ e, §ÜðÅþUæòÙ-ÎýÃØ×æÙ m, çÙßæüÌ÷
speed of light in vacuum c and Plancks
×ð´ Âý·¤æàæ ·ð¤ ßð» c ÌÍæ Üæ¡·¤ çSÍÚUæ´·¤ h, ·¤æð ×êÜ
constant h are taken as fundamental
quantities, the permeability of vacuum m0 ÚUæçàæØæ¡ ×æÙ çÜØæ ÁæØ Ìæð, çÙßæüÌ÷ ·¤è ¿éÕ·¤àæèÜÌæ
can be expressed in units of : m0 ·¤æ ×ææ·¤ ãæð»æ Ñ
hc hc
(1) (1)
me 2 me 2
h h
(2) (2)
me 2 me 2
h h
(3) 2 (3) 2
ce ce
mc2 mc2
(4) 2 (4) 2
he he
→ →
2. A vector A is rotated by a small angle Du 2. ç·¤âè âçÎàæ A ·¤æð Du ÚðUçÇUØÙ (Du<<1) æé×æ ÎðÙð
→ →
radians (Du<<1) to get a new vector B . ÂÚU °·¤ ÙØæ âçÎàæ B ÂýæÌ ãæðÌæ ãñÐ §â ¥ßSÍæ ×ð´
→ → → →
In that case B 2 A is :
B 2 A ãæð»æ Ñ
(1) 0
(1) àæêØ
→ Du2
A 12 → Du 2
(2) 2 A 12
(2) 2
→
A Du →
(3) A Du
(3)
→ →
B Du 2 A → →
(4) B Du 2 A
(4)
Page 1 PHYSICS : English & Hindi 01
1. If electronic charge e, electron mass m, 1. ØçÎ §ÜðÅþUæòÙ-¥æßðàæ e, §ÜðÅþUæòÙ-ÎýÃØ×æÙ m, çÙßæüÌ÷
speed of light in vacuum c and Plancks
×ð´ Âý·¤æàæ ·ð¤ ßð» c ÌÍæ Üæ¡·¤ çSÍÚUæ´·¤ h, ·¤æð ×êÜ
constant h are taken as fundamental
quantities, the permeability of vacuum m0 ÚUæçàæØæ¡ ×æÙ çÜØæ ÁæØ Ìæð, çÙßæüÌ÷ ·¤è ¿éÕ·¤àæèÜÌæ
can be expressed in units of : m0 ·¤æ ×ææ·¤ ãæð»æ Ñ
hc hc
(1) (1)
me 2 me 2
h h
(2) (2)
me 2 me 2
h h
(3) 2 (3) 2
ce ce
mc2 mc2
(4) 2 (4) 2
he he
→ →
2. A vector A is rotated by a small angle Du 2. ç·¤âè âçÎàæ A ·¤æð Du ÚðUçÇUØÙ (Du<<1) æé×æ ÎðÙð
→ →
radians (Du<<1) to get a new vector B . ÂÚU °·¤ ÙØæ âçÎàæ B ÂýæÌ ãæðÌæ ãñÐ §â ¥ßSÍæ ×ð´
→ → → →
In that case B 2 A is :
B 2 A ãæð»æ Ñ
(1) 0
(1) àæêØ
→ Du2
A 12 → Du 2
(2) 2 A 12
(2) 2
→
A Du →
(3) A Du
(3)
→ →
B Du 2 A → →
(4) B Du 2 A
(4)
Page 3
Page 2 PHYSICS : English & Hindi 01
3. A large number (n) of identical beads, each 3. °·¤ ÂÌÜè ç¿·¤Ùè ÿæñçÌÁ ÀUǸ ÂÚU ·¤§ü (n) âßüâ×
of mass m and radius r are strung on a
×çæ·¤æØð´ (ÕèÇU) çÂÚUæð§ü »§ü ãñ´ Áæð ÀUǸ ÂÚU ¥çÙØç×Ì
thin smooth rigid horizontal rod of length
L (L>>r) and are at rest at random ÌÍæ çßÚUæ× ¥ßSÍæ ×ð´ ãñ´Ð ÂýØð·¤ ÕèÇU ·¤æ ÎýÃØ×æÙ
positions. The rod is mounted between m ÌÍæ çæØæ r ãñ ¥æñÚU ÀUǸ ·¤è Ü´Õæ§ü L ãñ (L>>r)Ð
two rigid supports (see figure). If one of Øã ÀUǸ Îæð ÅðU·¤æð´ (¥æÏæÚUæð´) ÂÚU, ¥æÚðU¹ ×ð´ ÎàææüØð »Øð
the beads is now given a speed v, the
average force experienced by each support
¥ÙéâæÚU çÅU·¤è ãñÐ ØçÎ °·¤ ÕèÇU ·¤æð v ßð» ÂýÎæÙ
after a long time is (assume all collisions ç·¤Øæ ÁæØ Ìæð, °·¤ ÜÕð â×Ø ·ð¤ Âà¿æÌ÷ ÂýØð·¤
are elastic) : ÅðU·¤ (¥æÏæÚU) ÂÚU Ü»Ùð ßæÜð ¥æñâÌ ÕÜ ·¤æ ×æÙ
ãæð»æ (ØçÎ âÖè ÅU·¤Úð´U ÂýØæSÍ ãñ´) Ñ
mv2
(1)
L 2 nr mv2
(1)
2 L 2 nr
mv
(2)
L 2 2nr mv 2
(2)
L 2 2nr
mv 2
(3)
2(L 2 nr) mv 2
(3)
(4) zero 2(L 2 nr)
(4) àæêØ
4. A particle is moving in a circle of radius r
under the action of a force F5ar2 which
is directed towards centre of the circle. 4. ç·¤âè ÕÜ F5ar2 ·ð¤ ·¤æÚUæ, °·¤ ·¤æ r çæØæ ·ð¤
Total mechanical energy (kinetic ßëæ ×ð´ »çÌ ·¤ÚUÌæ ãñÐ ÕÜ ·¤è çÎàææ ßëæ ·ð¤ ·ð¤Îý ·¤è
energy1potential energy) of the particle
¥æðÚU ãñÐ ØçÎ, r50 ·ð¤ çÜØð çSÍçÌÁ ª¤Áæü ·¤æð àæêØ
is (take potential energy50 for r50) :
×æÙæ ÁæØ Ìæð, §â ·¤æ ·¤è ·é¤Ü Øæ´çæ·¤ ª¤Áæü (»çÌÁ
(1) ar3
ª¤Áæü1çSÍçÌÁ ª¤Áæü) ãæð»è Ñ
1
(2) ar3 (1) ar3
2
1
4 (2) ar3
(3) ar3 2
3
4
5 (3) ar3
(4) ar3 3
6
5
(4) ar3
6
3. A large number (n) of identical beads, each 3. °·¤ ÂÌÜè ç¿·¤Ùè ÿæñçÌÁ ÀUǸ ÂÚU ·¤§ü (n) âßüâ×
of mass m and radius r are strung on a
×çæ·¤æØð´ (ÕèÇU) çÂÚUæð§ü »§ü ãñ´ Áæð ÀUǸ ÂÚU ¥çÙØç×Ì
thin smooth rigid horizontal rod of length
L (L>>r) and are at rest at random ÌÍæ çßÚUæ× ¥ßSÍæ ×ð´ ãñ´Ð ÂýØð·¤ ÕèÇU ·¤æ ÎýÃØ×æÙ
positions. The rod is mounted between m ÌÍæ çæØæ r ãñ ¥æñÚU ÀUǸ ·¤è Ü´Õæ§ü L ãñ (L>>r)Ð
two rigid supports (see figure). If one of Øã ÀUǸ Îæð ÅðU·¤æð´ (¥æÏæÚUæð´) ÂÚU, ¥æÚðU¹ ×ð´ ÎàææüØð »Øð
the beads is now given a speed v, the
average force experienced by each support
¥ÙéâæÚU çÅU·¤è ãñÐ ØçÎ °·¤ ÕèÇU ·¤æð v ßð» ÂýÎæÙ
after a long time is (assume all collisions ç·¤Øæ ÁæØ Ìæð, °·¤ ÜÕð â×Ø ·ð¤ Âà¿æÌ÷ ÂýØð·¤
are elastic) : ÅðU·¤ (¥æÏæÚU) ÂÚU Ü»Ùð ßæÜð ¥æñâÌ ÕÜ ·¤æ ×æÙ
ãæð»æ (ØçÎ âÖè ÅU·¤Úð´U ÂýØæSÍ ãñ´) Ñ
mv2
(1)
L 2 nr mv2
(1)
2 L 2 nr
mv
(2)
L 2 2nr mv 2
(2)
L 2 2nr
mv 2
(3)
2(L 2 nr) mv 2
(3)
(4) zero 2(L 2 nr)
(4) àæêØ
4. A particle is moving in a circle of radius r
under the action of a force F5ar2 which
is directed towards centre of the circle. 4. ç·¤âè ÕÜ F5ar2 ·ð¤ ·¤æÚUæ, °·¤ ·¤æ r çæØæ ·ð¤
Total mechanical energy (kinetic ßëæ ×ð´ »çÌ ·¤ÚUÌæ ãñÐ ÕÜ ·¤è çÎàææ ßëæ ·ð¤ ·ð¤Îý ·¤è
energy1potential energy) of the particle
¥æðÚU ãñÐ ØçÎ, r50 ·ð¤ çÜØð çSÍçÌÁ ª¤Áæü ·¤æð àæêØ
is (take potential energy50 for r50) :
×æÙæ ÁæØ Ìæð, §â ·¤æ ·¤è ·é¤Ü Øæ´çæ·¤ ª¤Áæü (»çÌÁ
(1) ar3
ª¤Áæü1çSÍçÌÁ ª¤Áæü) ãæð»è Ñ
1
(2) ar3 (1) ar3
2
1
4 (2) ar3
(3) ar3 2
3
4
5 (3) ar3
(4) ar3 3
6
5
(4) ar3
6
Page 4
Page 3 PHYSICS : English & Hindi 01
5. A uniform thin rod AB of length L has 5. L ÜÕæ§ü ÌÍæ °·¤â×æÙ ÂÌÜè ÀUǸ AB, ·¤æ ÚñUç¹·¤
bx bx
linear mass density m(x)5 a 1 , where ÎýÃØ×æÙ æÙß m(x)5 a 1 ãñ, Áãæ¡ x ·¤æð ÀUǸ
L L
x is measured from A. If the CM of the
·ð¤ çâÚðU A âð ×æÂæ ÁæÌæ ãñÐ ØçÎ §â ÀUǸ ·¤æ ÎýÃØ×æÙ-
7
rod lies at a distance of L from A, 7
12 ·ð¤Îý ÀUǸ ·ð¤ çâÚðU A âð 12 L ÎêÚUè ÂÚU ãñ Ìæð,
then a and b are related as :
a ÌÍæ b ·ð¤ Õè¿ â´Õ´Ï ãæð»æ Ñ
(1) a5b
(1) a5b
(2) a52b
(2) a52b
(3) 2a5b
(3) 2a5b
(4) 3a52b
(4) 3a52b
6. A particle of mass 2 kg is on a smooth
horizontal table and moves in a circular 6. 2 kg ÎýÃØ×æÙ ·¤æ °·¤ ·¤æ, ç·¤âè ç¿·¤Ùð ÿæñçÌÁ
path of radius 0.6 m. The height of the ×ðÁ ÂÚU çSÍÌ ãñ ÌÍæ 0.6 m çæØæ ·ð¤ ßëææ·¤æÚU ÂÍ
table from the ground is 0.8 m. If the
angular speed of the particle is 12 rad s21,
ÂÚU »çÌ ·¤ÚU ÚUãæ ãñÐ Öê-ÌÜ âð ×ðÁ ·¤è ª¡¤¿æ§ü 0.8 m
the magnitude of its angular momentum ãñÐ ØçÎ ·¤æ ·¤è ·¤æðæèØ ¿æÜ 12 rad s21 ãæð Ìæð,
about a point on the ground right under ßëæ ·ð¤ ·ð¤Îý ·ð¤ ÆUè·¤ Ùè¿ð Öê-ÌÜ ÂÚU ç·¤âè çÕÎé ·ð¤
the centre of the circle is : ÂçÚUÌÑ, §â ·¤æ ·¤æ ·¤æðæèØ â´ßð» ·¤æ ÂçÚU×ææ ãæð»æ Ñ
(1) 8.64 kg m2s21
(1) 8.64 kg m2s21
(2) 11.52 kg m2s21
(2) 11.52 kg m2s21
(3) 14.4 kg m2s21
(3) 14.4 kg m2s21
(4) 20.16 kg m2s21
(4) 20.16 kg m2s21
5. A uniform thin rod AB of length L has 5. L ÜÕæ§ü ÌÍæ °·¤â×æÙ ÂÌÜè ÀUǸ AB, ·¤æ ÚñUç¹·¤
bx bx
linear mass density m(x)5 a 1 , where ÎýÃØ×æÙ æÙß m(x)5 a 1 ãñ, Áãæ¡ x ·¤æð ÀUǸ
L L
x is measured from A. If the CM of the
·ð¤ çâÚðU A âð ×æÂæ ÁæÌæ ãñÐ ØçÎ §â ÀUǸ ·¤æ ÎýÃØ×æÙ-
7
rod lies at a distance of L from A, 7
12 ·ð¤Îý ÀUǸ ·ð¤ çâÚðU A âð 12 L ÎêÚUè ÂÚU ãñ Ìæð,
then a and b are related as :
a ÌÍæ b ·ð¤ Õè¿ â´Õ´Ï ãæð»æ Ñ
(1) a5b
(1) a5b
(2) a52b
(2) a52b
(3) 2a5b
(3) 2a5b
(4) 3a52b
(4) 3a52b
6. A particle of mass 2 kg is on a smooth
horizontal table and moves in a circular 6. 2 kg ÎýÃØ×æÙ ·¤æ °·¤ ·¤æ, ç·¤âè ç¿·¤Ùð ÿæñçÌÁ
path of radius 0.6 m. The height of the ×ðÁ ÂÚU çSÍÌ ãñ ÌÍæ 0.6 m çæØæ ·ð¤ ßëææ·¤æÚU ÂÍ
table from the ground is 0.8 m. If the
angular speed of the particle is 12 rad s21,
ÂÚU »çÌ ·¤ÚU ÚUãæ ãñÐ Öê-ÌÜ âð ×ðÁ ·¤è ª¡¤¿æ§ü 0.8 m
the magnitude of its angular momentum ãñÐ ØçÎ ·¤æ ·¤è ·¤æðæèØ ¿æÜ 12 rad s21 ãæð Ìæð,
about a point on the ground right under ßëæ ·ð¤ ·ð¤Îý ·ð¤ ÆUè·¤ Ùè¿ð Öê-ÌÜ ÂÚU ç·¤âè çÕÎé ·ð¤
the centre of the circle is : ÂçÚUÌÑ, §â ·¤æ ·¤æ ·¤æðæèØ â´ßð» ·¤æ ÂçÚU×ææ ãæð»æ Ñ
(1) 8.64 kg m2s21
(1) 8.64 kg m2s21
(2) 11.52 kg m2s21
(2) 11.52 kg m2s21
(3) 14.4 kg m2s21
(3) 14.4 kg m2s21
(4) 20.16 kg m2s21
(4) 20.16 kg m2s21
Page 5
Page 4 PHYSICS : English & Hindi 01
7. Which of the following most closely 7. çÙÙæ´ç·¤Ì ¥æÜð¹æð´ ×ð´ âð ·¤æñÙ âæ ¥æÜð¹ (»ýæȤ), R
depicts the correct variation of the
çæØæ ÌÍæ °·¤â×æÙ ÎýÃØ×æÙ æÙß ßæÜð ç·¤âè ÕǸð
gravitation potential V(r) due to a large
planet of radius R and uniform mass »ý ã ·ð ¤ »é L ¤ßèØ çßÖß V(r) ·ð ¤ âãè çß¿ÚU æ
density ? (figures are not drawn to scale) (ÂçÚUßÌüÙ) ·¤æ âßæüçÏ·¤ çÙ·¤ÅU ç¿ææ ·¤ÚUÌæ ãñ?
(¥æÚðU¹ ÆUè·¤ Âñ×æÙð ·ð¤ ¥ÙéâæÚU Ùãè´ ãñ´)
(1)
(1)
(2)
(2)
(3)
(3)
(4)
(4)
8. A cylindrical block of wood
(density5650 kg m 23 ), of base area
30 cm2 and height 54 cm, floats in a liquid
8. Ü·¤Ç¸è ·ð¤ ç·¤âè ÕðÜÙæ·¤æÚU »éÅU·ð¤ (Üæò·¤) ·¤è ÜÕæ§ü
of density 900 kg m 23 . The block is 54 cm, ÌÍæ æÙß 650 kg m23 ãñÐ §â·ð¤ ¥æÏæÚU
depressed slightly and then released. The ·¤æ ÿæðæÈ¤Ü 30 cm2 ãñ, ¥æñÚU Øã 900 kg m23
time period of the resulting oscillations of æÙß ßæÜð Îýß ×ð´ ÌñÚU ÚUãæ ãñ (Üß×æÙ ãñ)Ð §â
the block would be equal to that of a simple
pendulum of length (nearly) : Üæò·¤ ·¤æð ÍæðǸæ âæ Ùè¿ð ·¤è ¥æðÚU ÎÕæ·¤ÚU ÀUæðǸ çÎØæ
(1) 65 cm ÁæÌæ ãñÐ ÂçÚUææ× SßM¤Â ©Âóæ §â·ð¤ ÎæðÜÙæð´ ·¤æ
(2) 52 cm
¥æßÌü·¤æÜ, ç·¤â ÜÕæ§ü (ֻܻ) ·ð¤ âÚUÜ ÜæðÜ·¤
(3) 39 cm
·ð¤ ¥æßÌü·¤æÜ ·ð¤ ÕÚUæÕÚU ãæð»æ?
(1) 65 cm
(4) 26 cm
(2) 52 cm
(3) 39 cm
(4) 26 cm
7. Which of the following most closely 7. çÙÙæ´ç·¤Ì ¥æÜð¹æð´ ×ð´ âð ·¤æñÙ âæ ¥æÜð¹ (»ýæȤ), R
depicts the correct variation of the
çæØæ ÌÍæ °·¤â×æÙ ÎýÃØ×æÙ æÙß ßæÜð ç·¤âè ÕǸð
gravitation potential V(r) due to a large
planet of radius R and uniform mass »ý ã ·ð ¤ »é L ¤ßèØ çßÖß V(r) ·ð ¤ âãè çß¿ÚU æ
density ? (figures are not drawn to scale) (ÂçÚUßÌüÙ) ·¤æ âßæüçÏ·¤ çÙ·¤ÅU ç¿ææ ·¤ÚUÌæ ãñ?
(¥æÚðU¹ ÆUè·¤ Âñ×æÙð ·ð¤ ¥ÙéâæÚU Ùãè´ ãñ´)
(1)
(1)
(2)
(2)
(3)
(3)
(4)
(4)
8. A cylindrical block of wood
(density5650 kg m 23 ), of base area
30 cm2 and height 54 cm, floats in a liquid
8. Ü·¤Ç¸è ·ð¤ ç·¤âè ÕðÜÙæ·¤æÚU »éÅU·ð¤ (Üæò·¤) ·¤è ÜÕæ§ü
of density 900 kg m 23 . The block is 54 cm, ÌÍæ æÙß 650 kg m23 ãñÐ §â·ð¤ ¥æÏæÚU
depressed slightly and then released. The ·¤æ ÿæðæÈ¤Ü 30 cm2 ãñ, ¥æñÚU Øã 900 kg m23
time period of the resulting oscillations of æÙß ßæÜð Îýß ×ð´ ÌñÚU ÚUãæ ãñ (Üß×æÙ ãñ)Ð §â
the block would be equal to that of a simple
pendulum of length (nearly) : Üæò·¤ ·¤æð ÍæðǸæ âæ Ùè¿ð ·¤è ¥æðÚU ÎÕæ·¤ÚU ÀUæðǸ çÎØæ
(1) 65 cm ÁæÌæ ãñÐ ÂçÚUææ× SßM¤Â ©Âóæ §â·ð¤ ÎæðÜÙæð´ ·¤æ
(2) 52 cm
¥æßÌü·¤æÜ, ç·¤â ÜÕæ§ü (ֻܻ) ·ð¤ âÚUÜ ÜæðÜ·¤
(3) 39 cm
·ð¤ ¥æßÌü·¤æÜ ·ð¤ ÕÚUæÕÚU ãæð»æ?
(1) 65 cm
(4) 26 cm
(2) 52 cm
(3) 39 cm
(4) 26 cm
Page 6
Page 5 PHYSICS : English & Hindi 01
9. A beaker contains a fluid of density 9. ç·¤âè Õè·¤ÚU ×ð´ ÚU¹ð °·¤ Îýß ·¤æ æÙß r kg/m3,
r kg/m 3 , specific heat S J/kg8C and
çßçàæcÅUU ª¤c×æ S J/kg8C ÌÍæ àØæÙÌæ h ãñÐ Øã
viscosity h. The beaker is filled up to height
h. To estimate the rate of heat transfer Õè·¤ÚU h ª¤¡¿æ§ü Ì·¤ Îýß âð ÖÚUæ ãñÐ Õè·¤ÚU ·¤æð °·¤
• ÒãæòÅU ÜðÅUÓ ÂÚU ÚU¹Ùð ÂÚU, ©â×ð´ ÚU¹ð Îýß ·¤è âÕâð
per unit area (Q /A) by convection when
beaker is put on a hot plate, a student
ª¤ÂÚU ÌÍæ âÕâð Ùè¿ð ·¤è ÂÚUÌ ·ð¤ Õè¿ Ìæ ·¤æ ¥ÌÚU
proposes that it should depend on h, Du (8C ×ð´) ãæðÌæ ãñÐ °·¤ çßlæÍèü ·ð¤ ¥ÙéâæÚ, §â
¥ßSÍæ ×ð´ â´ßãÙ mæÚUæ ÂýçÌ §·¤æ§ü ÿæðæÈ¤Ü ª¤c×æ ·¤æ
S Du 1
and when Du (in 8C) is the •
SÍæÙæÌÚUæ, ¥Íæü Ì ÷ (Q /A) ·¤æ ×æÙ h,
h r g
difference in the temperature between the S Du 1
bottom and top of the fluid. In that ±²Ë ÂÚU çÙÖüÚU ·¤ÚUÙæ ¿æçãØð, Ìæð,
•
h r g
situation the correct option for (Q /A) •
is : (Q /A) ·ð¤ ×æÙ ·ð¤ çÜØð âãè çß·¤Ë ãæð»æ Ñ
S Du S Du
(1) h (1) h
h h
S Du 1 S Du 1
(2) h (2) h
h r g h r g
S Du S Du
(3) (3)
hh hh
S Du 1 S Du 1
(4) (4)
hh r g hh r g
10. An experiment takes 10 minutes to raise 10. ç·¤âè ÂýØæð» ×ð´ ç·¤âè ª¤c×·¤ (ãèÅUÚU) mæÚUæ °·¤â×æÙ
the temperature of water in a container ÎÚU ÂÚU ª¤c×æ ÎðÙð ÂÚU, °·¤ Âææ ×ð´ ÚU¹ð ÁÜ ·¤æ ÌæÂ
from 08C to 1008C and another 55 minutes
to convert it totally into steam by a heater 08C âð 1008C Ì·¤ ÕɸæÙð ·ð¤ çÜØð 10 ç×ÙÅU ·¤æ
supplying heat at a uniform rate. â×Ø Ü»Ìæ ãñÐ §âè Îýß ·¤æð ÂêæüÌÑ ßæc ×ð´ M¤ÂæÌçÚUÌ
Neglecting the specific heat of the container ·¤ÚUÙð ×ð´ 55 ç×ÙÅU ¥æñÚU Ü»Ìð ãñ´Ð Âææ ·¤è çßçàæcÅU
and taking specific heat of water to be
ª¤c×æ ·¤æð Ù»Ø ÌÍæ ÁÜ ·¤è çßçàæcÅUU ª¤c×æ ·¤æð
1 cal/g 8C , the heat of vapourization
according to this experiment will come out 1 cal/g 8C ÜðÌð ãé°, §â ÂýØæ𻠷𤠥ÙéâæÚU ßæcÂÙ
to be : ·¤è ª¤c×æ ·¤æ ×æÙ ãæð»æ Ñ
(1) 530 cal/g (1) 530 cal/g
(2) 540 cal/g (2) 540 cal/g
(3) 550 cal/g (3) 550 cal/g
(4) 560 cal/g (4) 560 cal/g
9. A beaker contains a fluid of density 9. ç·¤âè Õè·¤ÚU ×ð´ ÚU¹ð °·¤ Îýß ·¤æ æÙß r kg/m3,
r kg/m 3 , specific heat S J/kg8C and
çßçàæcÅUU ª¤c×æ S J/kg8C ÌÍæ àØæÙÌæ h ãñÐ Øã
viscosity h. The beaker is filled up to height
h. To estimate the rate of heat transfer Õè·¤ÚU h ª¤¡¿æ§ü Ì·¤ Îýß âð ÖÚUæ ãñÐ Õè·¤ÚU ·¤æð °·¤
• ÒãæòÅU ÜðÅUÓ ÂÚU ÚU¹Ùð ÂÚU, ©â×ð´ ÚU¹ð Îýß ·¤è âÕâð
per unit area (Q /A) by convection when
beaker is put on a hot plate, a student
ª¤ÂÚU ÌÍæ âÕâð Ùè¿ð ·¤è ÂÚUÌ ·ð¤ Õè¿ Ìæ ·¤æ ¥ÌÚU
proposes that it should depend on h, Du (8C ×ð´) ãæðÌæ ãñÐ °·¤ çßlæÍèü ·ð¤ ¥ÙéâæÚ, §â
¥ßSÍæ ×ð´ â´ßãÙ mæÚUæ ÂýçÌ §·¤æ§ü ÿæðæÈ¤Ü ª¤c×æ ·¤æ
S Du 1
and when Du (in 8C) is the •
SÍæÙæÌÚUæ, ¥Íæü Ì ÷ (Q /A) ·¤æ ×æÙ h,
h r g
difference in the temperature between the S Du 1
bottom and top of the fluid. In that ±²Ë ÂÚU çÙÖüÚU ·¤ÚUÙæ ¿æçãØð, Ìæð,
•
h r g
situation the correct option for (Q /A) •
is : (Q /A) ·ð¤ ×æÙ ·ð¤ çÜØð âãè çß·¤Ë ãæð»æ Ñ
S Du S Du
(1) h (1) h
h h
S Du 1 S Du 1
(2) h (2) h
h r g h r g
S Du S Du
(3) (3)
hh hh
S Du 1 S Du 1
(4) (4)
hh r g hh r g
10. An experiment takes 10 minutes to raise 10. ç·¤âè ÂýØæð» ×ð´ ç·¤âè ª¤c×·¤ (ãèÅUÚU) mæÚUæ °·¤â×æÙ
the temperature of water in a container ÎÚU ÂÚU ª¤c×æ ÎðÙð ÂÚU, °·¤ Âææ ×ð´ ÚU¹ð ÁÜ ·¤æ ÌæÂ
from 08C to 1008C and another 55 minutes
to convert it totally into steam by a heater 08C âð 1008C Ì·¤ ÕɸæÙð ·ð¤ çÜØð 10 ç×ÙÅU ·¤æ
supplying heat at a uniform rate. â×Ø Ü»Ìæ ãñÐ §âè Îýß ·¤æð ÂêæüÌÑ ßæc ×ð´ M¤ÂæÌçÚUÌ
Neglecting the specific heat of the container ·¤ÚUÙð ×ð´ 55 ç×ÙÅU ¥æñÚU Ü»Ìð ãñ´Ð Âææ ·¤è çßçàæcÅU
and taking specific heat of water to be
ª¤c×æ ·¤æð Ù»Ø ÌÍæ ÁÜ ·¤è çßçàæcÅUU ª¤c×æ ·¤æð
1 cal/g 8C , the heat of vapourization
according to this experiment will come out 1 cal/g 8C ÜðÌð ãé°, §â ÂýØæ𻠷𤠥ÙéâæÚU ßæcÂÙ
to be : ·¤è ª¤c×æ ·¤æ ×æÙ ãæð»æ Ñ
(1) 530 cal/g (1) 530 cal/g
(2) 540 cal/g (2) 540 cal/g
(3) 550 cal/g (3) 550 cal/g
(4) 560 cal/g (4) 560 cal/g
Page 7
Page 6 PHYSICS : English & Hindi 01
11. Using equipartition of energy, the specific 11. ª¤Áæü ·ð¤ â×çßÖæÁÙ ·ð¤ ©ÂØæð» âð, ·¤ÿæ-Ìæ ÂÚU,
heat (in J kg21 K21) of aluminium at room
°ðÜéç×çÙØ× ·¤è çßçàæcÅU ª¤c×æ (J kg21 K21) ·¤æ
temperature can be estimated to be (atomic
weight of aluminium527) ¥Ùé×æçÙÌ ×æÙ ãæð»æ, (°ðÜéç×çÙØ× ·¤æ ÂÚU×ææé
(1) 25 ÖæÚU527)
(2) 410 (1) 25
(3) 925 (2) 410
(4) 1850 (3) 925
(4) 1850
12. A pendulum with time period of 1s is
losing energy due to damping. At certain 12. 1s ¥æßÌü·¤æÜ ·ð¤ ç·¤âè ÜæðÜ·¤ ·¤è ª¤Áæü ¥ß×´ÎÙ
time its energy is 45 J. If after completing
15 oscillations, its energy has become 15 J,
·ð¤ ·¤æÚUæ ÿæØ ãæð ÚUãè ãñÐ ç·¤âè ÿææ §â·¤è ª¤Áæü
its damping constant (in s21) is : 45 J ãñÐ ØçÎ 15 ÎæðÜÙ ÂêÚðU ·¤ÚUÙð ·ð¤ Âà¿æÌ÷ §â·¤è
ª¤Áæü 15 J ãæð ÁæÌè ãñ Ìæð, §â·ð¤ çÜØð ¥ß×´ÎÙ çSÍÚUæ´·¤
1
(1)
30
ln 3 ãñ (s21 ×ð´) Ñ
1 1
ln 3 (1) ln 3
(2) 30
15
(3) 2 1
(2) ln 3
15
1
(4) (3) 2
2
1
(4)
2
11. Using equipartition of energy, the specific 11. ª¤Áæü ·ð¤ â×çßÖæÁÙ ·ð¤ ©ÂØæð» âð, ·¤ÿæ-Ìæ ÂÚU,
heat (in J kg21 K21) of aluminium at room
°ðÜéç×çÙØ× ·¤è çßçàæcÅU ª¤c×æ (J kg21 K21) ·¤æ
temperature can be estimated to be (atomic
weight of aluminium527) ¥Ùé×æçÙÌ ×æÙ ãæð»æ, (°ðÜéç×çÙØ× ·¤æ ÂÚU×ææé
(1) 25 ÖæÚU527)
(2) 410 (1) 25
(3) 925 (2) 410
(4) 1850 (3) 925
(4) 1850
12. A pendulum with time period of 1s is
losing energy due to damping. At certain 12. 1s ¥æßÌü·¤æÜ ·ð¤ ç·¤âè ÜæðÜ·¤ ·¤è ª¤Áæü ¥ß×´ÎÙ
time its energy is 45 J. If after completing
15 oscillations, its energy has become 15 J,
·ð¤ ·¤æÚUæ ÿæØ ãæð ÚUãè ãñÐ ç·¤âè ÿææ §â·¤è ª¤Áæü
its damping constant (in s21) is : 45 J ãñÐ ØçÎ 15 ÎæðÜÙ ÂêÚðU ·¤ÚUÙð ·ð¤ Âà¿æÌ÷ §â·¤è
ª¤Áæü 15 J ãæð ÁæÌè ãñ Ìæð, §â·ð¤ çÜØð ¥ß×´ÎÙ çSÍÚUæ´·¤
1
(1)
30
ln 3 ãñ (s21 ×ð´) Ñ
1 1
ln 3 (1) ln 3
(2) 30
15
(3) 2 1
(2) ln 3
15
1
(4) (3) 2
2
1
(4)
2
Page 8
Page 7 PHYSICS : English & Hindi 01
13. A source of sound emits sound waves at 13. ßçÙ ·ð¤ °·¤ dæðÌ âð f0 ¥æßëçæ ·¤è ÌÚ´U»ð´ ©âçÁüÌ
frequency f 0. It is moving towards an
(©Âóæ) ãæðÌè ãñ´Ð Øã dæðÌ ç·¤âè ææðÌæ ·¤è ¥æðÚU °·¤
observer with fixed speed vs(vs<v, where
v is the speed of sound in air). If the çÙØÌ ¿æÜ vs âð ¿Ü ÚUãæ ãñ (vs< v, Áãæ¡ v ßæØé ×ð´
observer were to move towards the source ßçÙ ·¤è ¿æÜ ãñ)Ð ØçÎ ææðÌæ v0 ¿æÜ âð dæðÌ ·¤è
with speed v0, one of the following two ¥æðÚU ¿ÜÙð Ü»ð, Ìæð v0 ×ð´ ÂçÚUßÌüÙ âð, ææðÌæ mæÚUæ âéÙè
graphs (A and B) will give the correct
variation of the frequency f heard by the
»§ü ¥æßëçæ ·ð¤ âãè çß¿ÚUæ (ÂçÚUßÌüÙ) ·¤æð çÙÙæ´ç·¤Ì
observer as v0 is changed. »ýæȤ A Øæ B ×ð´ âð °·¤ »ýæȤ ÎàææüØð»æÐ
The variation of f with v0 is given correctly Ìæð, v0 ·ð¤ âæÍ f ·ð¤ çß¿ÚUæ (ÂçÚUßÌüÙ) ·¤æð âãè
by : ÎàææüÌæ ãñ Ñ
f0
(1) graph A with slope 5 f0
(v 2 vs ) (1) »ýæȤ A ÂýßæÌæ 5 ·ð¤ âæÍ
(v 2 vs )
f0
(2) graph A with slope 5 f0
(v 1 vs ) (2) »ýæȤ A ÂýßæÌæ 5 ·ð¤ âæÍ
(v 1 vs )
f0
(3) graph B with slope 5 f0
(v 2 vs ) (3) »ýæȤ B ÂýßæÌæ 5 ·ð¤ âæÍ
(v 2 vs )
f0
(4) graph B with slope 5 f0
(v 1 vs ) (4) »ýæȤ B ÂýßæÌæ 5 ·ð¤ âæÍ
(v 1 vs )
13. A source of sound emits sound waves at 13. ßçÙ ·ð¤ °·¤ dæðÌ âð f0 ¥æßëçæ ·¤è ÌÚ´U»ð´ ©âçÁüÌ
frequency f 0. It is moving towards an
(©Âóæ) ãæðÌè ãñ´Ð Øã dæðÌ ç·¤âè ææðÌæ ·¤è ¥æðÚU °·¤
observer with fixed speed vs(vs<v, where
v is the speed of sound in air). If the çÙØÌ ¿æÜ vs âð ¿Ü ÚUãæ ãñ (vs< v, Áãæ¡ v ßæØé ×ð´
observer were to move towards the source ßçÙ ·¤è ¿æÜ ãñ)Ð ØçÎ ææðÌæ v0 ¿æÜ âð dæðÌ ·¤è
with speed v0, one of the following two ¥æðÚU ¿ÜÙð Ü»ð, Ìæð v0 ×ð´ ÂçÚUßÌüÙ âð, ææðÌæ mæÚUæ âéÙè
graphs (A and B) will give the correct
variation of the frequency f heard by the
»§ü ¥æßëçæ ·ð¤ âãè çß¿ÚUæ (ÂçÚUßÌüÙ) ·¤æð çÙÙæ´ç·¤Ì
observer as v0 is changed. »ýæȤ A Øæ B ×ð´ âð °·¤ »ýæȤ ÎàææüØð»æÐ
The variation of f with v0 is given correctly Ìæð, v0 ·ð¤ âæÍ f ·ð¤ çß¿ÚUæ (ÂçÚUßÌüÙ) ·¤æð âãè
by : ÎàææüÌæ ãñ Ñ
f0
(1) graph A with slope 5 f0
(v 2 vs ) (1) »ýæȤ A ÂýßæÌæ 5 ·ð¤ âæÍ
(v 2 vs )
f0
(2) graph A with slope 5 f0
(v 1 vs ) (2) »ýæȤ A ÂýßæÌæ 5 ·ð¤ âæÍ
(v 1 vs )
f0
(3) graph B with slope 5 f0
(v 2 vs ) (3) »ýæȤ B ÂýßæÌæ 5 ·ð¤ âæÍ
(v 2 vs )
f0
(4) graph B with slope 5 f0
(v 1 vs ) (4) »ýæȤ B ÂýßæÌæ 5 ·ð¤ âæÍ
(v 1 vs )
Page 9
Page 8 PHYSICS : English & Hindi 01
14. A wire, of length L(520 cm), is bent into 14. L(520 cm) ÜÕæ§ü ·ð¤ °·¤ ÌæÚU ·¤æð °·¤ ¥Ïü ßëææ·¤æÚU
a semi-circular arc. If the two equal halves,
¿æ ·ð¤ M¤Â ×ð´ ×æðǸ çÎØæ »Øæ ãñÐ ØçÎ §â ¿æ ·ð¤ Îæð
of the arc, were each to be uniformly
charged with charges 6Q, [|Q|5103 e0 â×æÙ Öæ»æð´ ·¤æð 6Q ¥æßðàæ âð °·¤â×æÙ ¥æßðçàæÌ
Coulomb where e0 is the permittivity (in ·¤ÚU çÎØæ ÁæØ [|Q|5103 e0 ·ê¤Üæò× Áãæ¡ e0 (SI
SI units) of free space] the net electric field ×ææ·¤ ×ð ´ ) ×é Ì ¥æ·¤æàæ ·¤è çßlé Ì àæèÜÌæ
at the centre O of the semi-circular arc
would be :
(ÂÚUæßñléÌæ´·¤) ãñ ], Ìæð, ¥Ïüßëææ·¤æÚU ¿æ ·ð¤ ·ð¤Îý O
ÂÚU ÙðÅU çßléÌ ÿæðæ ãæð»æ Ñ
∧
(1) (503103 N/C) j ∧
(1) (503103 N/C) j
∧
(2) (253103 N/C) i ∧
(2) (253103 N/C) i
∧
(3) (253103 N/C) j ∧
(3) (253103 N/C) j
∧
(4) (503103 N/C) i ∧
(4) (503103 N/C) i
15. An electric field
15. ç·¤âè SÍæÙ ÂÚU °·¤ çßléÌ ÿæðæ,
→
( ∧
)
E 5 25 i 1 30 j NC
∧
2 1
exists in a
E 5 ( 25 i 1 30 j ) NC2 , çßl×æÙ ãñÐ ØçÎ
→ ∧ ∧
1
region of space. If the potential at the
origin is taken to be zero then the potential ×êÜçÕÎé ÂÚU çßÖß ·¤æ ×æÙ àæêØ ×æÙæ ÁæØ Ìæð,
at x52 m, y52 m is :
x52 m, y52 m ÂÚU çßÖß ãæð»æ Ñ
(1) 2130 J
(1) 2130 J
(2) 2120 J
(2) 2120 J
(3) 2140 J
(3) 2140 J
(4) 2110 J
(4) 2110 J
14. A wire, of length L(520 cm), is bent into 14. L(520 cm) ÜÕæ§ü ·ð¤ °·¤ ÌæÚU ·¤æð °·¤ ¥Ïü ßëææ·¤æÚU
a semi-circular arc. If the two equal halves,
¿æ ·ð¤ M¤Â ×ð´ ×æðǸ çÎØæ »Øæ ãñÐ ØçÎ §â ¿æ ·ð¤ Îæð
of the arc, were each to be uniformly
charged with charges 6Q, [|Q|5103 e0 â×æÙ Öæ»æð´ ·¤æð 6Q ¥æßðàæ âð °·¤â×æÙ ¥æßðçàæÌ
Coulomb where e0 is the permittivity (in ·¤ÚU çÎØæ ÁæØ [|Q|5103 e0 ·ê¤Üæò× Áãæ¡ e0 (SI
SI units) of free space] the net electric field ×ææ·¤ ×ð ´ ) ×é Ì ¥æ·¤æàæ ·¤è çßlé Ì àæèÜÌæ
at the centre O of the semi-circular arc
would be :
(ÂÚUæßñléÌæ´·¤) ãñ ], Ìæð, ¥Ïüßëææ·¤æÚU ¿æ ·ð¤ ·ð¤Îý O
ÂÚU ÙðÅU çßléÌ ÿæðæ ãæð»æ Ñ
∧
(1) (503103 N/C) j ∧
(1) (503103 N/C) j
∧
(2) (253103 N/C) i ∧
(2) (253103 N/C) i
∧
(3) (253103 N/C) j ∧
(3) (253103 N/C) j
∧
(4) (503103 N/C) i ∧
(4) (503103 N/C) i
15. An electric field
15. ç·¤âè SÍæÙ ÂÚU °·¤ çßléÌ ÿæðæ,
→
( ∧
)
E 5 25 i 1 30 j NC
∧
2 1
exists in a
E 5 ( 25 i 1 30 j ) NC2 , çßl×æÙ ãñÐ ØçÎ
→ ∧ ∧
1
region of space. If the potential at the
origin is taken to be zero then the potential ×êÜçÕÎé ÂÚU çßÖß ·¤æ ×æÙ àæêØ ×æÙæ ÁæØ Ìæð,
at x52 m, y52 m is :
x52 m, y52 m ÂÚU çßÖß ãæð»æ Ñ
(1) 2130 J
(1) 2130 J
(2) 2120 J
(2) 2120 J
(3) 2140 J
(3) 2140 J
(4) 2110 J
(4) 2110 J
Page 10
Page 9 PHYSICS : English & Hindi 01
16. In figure is shown a system of four 16. Øãæ¡ ¥æÚðU¹ ×ð´ ¿æÚU â´ÏæçÚUææ𴠷𤠰·¤ çÙ·¤æØ (Ì´æ)
capacitors connected across a 10 V battery.
·¤æð °·¤ 10 V ·¤è ÕñÅUÚUè âð ÁéǸæ ãé¥æ ÎàææüØæ »Øæ ãñÐ
Charge that will flow from switch S when
it is closed is : çSß¿ S ·¤æð Õ´Î ·¤ÚUÙð ÂÚU ©ââð ÂýßæçãÌ ¥æßðàæ ãæð»æ Ñ
(1) 5 mC from b to a (1) 5 mC, b âð a ·¤æð
(2) 20 mC from a to b (2) 20 mC, a âð b ·¤æð
(3) 5 mC from a to b
(3) 5 mC, a âð b ·¤æð
(4) zero
(4) àæêØ
17. In the electric network shown, when no
current flows through the 4 V resistor in 17. ÎàææüØð »Øð ÂçÚUÂÍ ÁæÜ ×ð´, ÖéÁæ EB ·ð¤ ÂýçÌÚUæðÏ 4 V
the arm EB, the potential difference âð ØçÎ ·¤æð§ü ÏæÚUæ ÂýßæçãÌ Ùãè´ ãæð ÚUãè ãñ Ìæð, A ÌÍæ D
between the points A and D will be :
çÕÎé¥æð´ ·ð¤ Õè¿ çßÖßæÌÚU ãæð»æ Ñ
(1) 3V
(1) 3V
(2) 4V
(2) 4V
(3) 5V
(3) 5V
(4) 6V
(4) 6V
16. In figure is shown a system of four 16. Øãæ¡ ¥æÚðU¹ ×ð´ ¿æÚU â´ÏæçÚUææ𴠷𤠰·¤ çÙ·¤æØ (Ì´æ)
capacitors connected across a 10 V battery.
·¤æð °·¤ 10 V ·¤è ÕñÅUÚUè âð ÁéǸæ ãé¥æ ÎàææüØæ »Øæ ãñÐ
Charge that will flow from switch S when
it is closed is : çSß¿ S ·¤æð Õ´Î ·¤ÚUÙð ÂÚU ©ââð ÂýßæçãÌ ¥æßðàæ ãæð»æ Ñ
(1) 5 mC from b to a (1) 5 mC, b âð a ·¤æð
(2) 20 mC from a to b (2) 20 mC, a âð b ·¤æð
(3) 5 mC from a to b
(3) 5 mC, a âð b ·¤æð
(4) zero
(4) àæêØ
17. In the electric network shown, when no
current flows through the 4 V resistor in 17. ÎàææüØð »Øð ÂçÚUÂÍ ÁæÜ ×ð´, ÖéÁæ EB ·ð¤ ÂýçÌÚUæðÏ 4 V
the arm EB, the potential difference âð ØçÎ ·¤æð§ü ÏæÚUæ ÂýßæçãÌ Ùãè´ ãæð ÚUãè ãñ Ìæð, A ÌÍæ D
between the points A and D will be :
çÕÎé¥æð´ ·ð¤ Õè¿ çßÖßæÌÚU ãæð»æ Ñ
(1) 3V
(1) 3V
(2) 4V
(2) 4V
(3) 5V
(3) 5V
(4) 6V
(4) 6V
Page 11
Page 10 PHYSICS : English & Hindi 01
18. The value of the resistor, RS, needed in the 18. Øãæ¡ ÎàææüØð »Øð ÇUè.âè. (dc) ßæðËÅUÌæ çÙØ´æ·¤ ÂçÚUÂÍ
dc voltage regulator circuit shown here,
×ð´, ¥æßàØ·¤ ÂýçÌÚUæðÏ RS ·¤æ ×æÙ ãæð»æ Ñ
equals :
(1) (Vi2VL)/n IL
(1) (Vi2VL)/n IL
(2) (Vi1VL)/n IL
(2) (Vi1VL)/n IL
(3) (Vi2VL)/(n11) IL
(3) (Vi2VL)/(n11) IL
(4) (Vi1VL)/(n11) IL
(4) (Vi1VL)/(n11) IL
18. The value of the resistor, RS, needed in the 18. Øãæ¡ ÎàææüØð »Øð ÇUè.âè. (dc) ßæðËÅUÌæ çÙØ´æ·¤ ÂçÚUÂÍ
dc voltage regulator circuit shown here,
×ð´, ¥æßàØ·¤ ÂýçÌÚUæðÏ RS ·¤æ ×æÙ ãæð»æ Ñ
equals :
(1) (Vi2VL)/n IL
(1) (Vi2VL)/n IL
(2) (Vi1VL)/n IL
(2) (Vi1VL)/n IL
(3) (Vi2VL)/(n11) IL
(3) (Vi2VL)/(n11) IL
(4) (Vi1VL)/(n11) IL
(4) (Vi1VL)/(n11) IL
Page 12
Page 11 PHYSICS : English & Hindi 01
19. Two long straight parallel wires, carrying 19. Îæð ÜÕð, âèÏð, â×æÌÚU ÌæÚUæð´ ·ð¤ Õè¿ ·¤è ÎêÚUè d ãñÐ
(adjustable) currents I1 and I2, are kept at
§Ùâð I1 ÌÍæ I2 ÏæÚUæØð´ ÂýßæçãÌ ãæð ÚUãè ãñ´ (çÁÙ·ð¤ ×æÙ
a distance d apart. If the force F between
the two wires is taken as positive when â×æØæðçÁÌ ç·¤Øð Áæ â·¤Ìð ãñ´) ØçÎ §Ù ÌæÚUæð´ ·ð¤ Õè¿
the wires repel each other and negative ÂýçÌ·¤áüæ ãæðÙð ÂÚU §Ù·ð¤ Õè¿ ÕÜ F ·¤æð ÒÏÙæ×·¤Ó
when the wires attract each other, the ÌÍæ §Ù ·ð¤ Õè¿ ¥æ·¤áüæ ãæðÙð ÂÚU ÕÜ F ·¤æ𠫤ææ×·¤
graph showing the dependence of F, on
the product I1I2, would be :
×æÙæ ÁæØ Ìæð, I1 ÌÍæ I2 ·ð¤ »éæÙÈ¤Ü (I1I2) ÂÚU F
·ð¤ çÙÖüÚU ãæðÙð ·¤æð ·¤æñÙ âæ »ýæȤ ÆUè·¤ (âãè) ÎàææüÌæ
ãñ?
(1)
(1)
(2)
(2)
(3)
(3)
(4)
(4)
19. Two long straight parallel wires, carrying 19. Îæð ÜÕð, âèÏð, â×æÌÚU ÌæÚUæð´ ·ð¤ Õè¿ ·¤è ÎêÚUè d ãñÐ
(adjustable) currents I1 and I2, are kept at
§Ùâð I1 ÌÍæ I2 ÏæÚUæØð´ ÂýßæçãÌ ãæð ÚUãè ãñ´ (çÁÙ·ð¤ ×æÙ
a distance d apart. If the force F between
the two wires is taken as positive when â×æØæðçÁÌ ç·¤Øð Áæ â·¤Ìð ãñ´) ØçÎ §Ù ÌæÚUæð´ ·ð¤ Õè¿
the wires repel each other and negative ÂýçÌ·¤áüæ ãæðÙð ÂÚU §Ù·ð¤ Õè¿ ÕÜ F ·¤æð ÒÏÙæ×·¤Ó
when the wires attract each other, the ÌÍæ §Ù ·ð¤ Õè¿ ¥æ·¤áüæ ãæðÙð ÂÚU ÕÜ F ·¤æ𠫤ææ×·¤
graph showing the dependence of F, on
the product I1I2, would be :
×æÙæ ÁæØ Ìæð, I1 ÌÍæ I2 ·ð¤ »éæÙÈ¤Ü (I1I2) ÂÚU F
·ð¤ çÙÖüÚU ãæðÙð ·¤æð ·¤æñÙ âæ »ýæȤ ÆUè·¤ (âãè) ÎàææüÌæ
ãñ?
(1)
(1)
(2)
(2)
(3)
(3)
(4)
(4)
Page 13
Page 12 PHYSICS : English & Hindi 01
20. A wire carrying current I is tied between 20. I ÏæÚUæßæãè °·¤ ÌæÚU, P ÌÍæ Q çÕÎé¥æð´ ÂÚU Õ´Ïæ ãñ
points P and Q and is in the shape of a
¥æñÚU ¥ÂÙð ¥æâ-Âæâ ¿éÕ·¤èØ ÿæðæ B ·ð¤ ·¤æÚUæ (Áæð
circular arch of radius R due to a uniform
magnetic field B (perpendicular to the xxx mæÚUæ ÎàææüØæ »Øæ ãñ ¥æñÚU §â ÂëcÆ ·ð¤ ÜÕßÌ÷ ãñ)
plane of the paper, shown by xxx) in the R çæØæ ·ð¤ ßëææ·¤æÚU ¿æ ·ð¤ M¤Â ×ð´ ¥æ ÁæÌæ ãñÐ
vicinity of the wire. If the wire subtends ØçÎ Øã ÌæÚU, ©â ßëæ ·ð¤ ·ð¤Îý ÂÚU çÁâ·¤æ Øã ¿æÂ
an angle 2u0 at the centre of the circle (of
which it forms an arch) then the tension
Öæ» ãñ, 2u0 ·¤æðæ ÕÙæÌæ ãñ Ìæð, ÌæÚU ×ð´ ÌÙæß ãæð»æ Ñ
in the wire is :
(1) IBR
(1) IBR IBR
(2) sinu0
IBR
(2) sinu0
IBR
(3) 2sinu0
IBR
(3) 2sinu0
IBRu0
(4) sinu0
IBRu0
(4) sinu0
21. ç·¤âè ÀUæðÅðU âð δÇU ¿éÕ·¤ ·¤æð Âëßè ·ð¤ ¿éÕ·¤èØ ÿæðæ
21. A short bar magnet is placed in the ·ð¤ ¿éÕ·¤èØ ØæØæðæÚU ×ð´ §â Âý·¤æÚU ÚU¹æ »Øæ ãñ ç·¤
magnetic meridian of the earth with north ©â·¤æ ©æÚU Ïýéß, ©æÚU ·¤è ¥æðÚU ãñÐ §â·ð¤ ·¤æÚUæ
pole pointing north. Neutral points are
found at a distance of 30 cm from the ¿éÕ·¤ ·ð¤ ×ØçÕÎé âð Âêßü-Âçà¿× çÎàææ ×𴠹贿è
magnet on the East - West line, drawn »§ü âÚUÜ ÚðU¹æ ÂÚU, ©ÎæâèÙ çÕÎé ÂýæÌ ãæðÌð ãñ´, çÁÙ·¤è
through the middle point of the magnet. ¿éÕ·¤ âð ÎêÚUè 30 cm ãñÐ Ìæð, ¿éÕ·¤ ·¤æ ¿éÕ·¤èØ
The magnetic moment of the magnet in
¥ææêæü (Am2 ×ð´) ãæð»æ ֻܻ Ñ
Am2 is close to :
m0 2 (çÎØæ ãñ,
m0 2
5 10 7 SI ×ææ·¤ ×ð́ ÌÍæ BH5Âëßè
(Given 5 10 7 in SI units and 4p
4p
B H 5Horizontal component of earths ·ð¤ ¿éÕ·¤èØ ÿæðæ ·¤æ ÿæñçÌÁ æÅU·¤ 53.631025
magnetic field53.631025 Tesla.) Tesla.)
(1) 9.7 (1) 9.7
(2) 4.9 (2) 4.9
(3) 19.4 (3) 19.4
(4) 14.6 (4) 14.6
20. A wire carrying current I is tied between 20. I ÏæÚUæßæãè °·¤ ÌæÚU, P ÌÍæ Q çÕÎé¥æð´ ÂÚU Õ´Ïæ ãñ
points P and Q and is in the shape of a
¥æñÚU ¥ÂÙð ¥æâ-Âæâ ¿éÕ·¤èØ ÿæðæ B ·ð¤ ·¤æÚUæ (Áæð
circular arch of radius R due to a uniform
magnetic field B (perpendicular to the xxx mæÚUæ ÎàææüØæ »Øæ ãñ ¥æñÚU §â ÂëcÆ ·ð¤ ÜÕßÌ÷ ãñ)
plane of the paper, shown by xxx) in the R çæØæ ·ð¤ ßëææ·¤æÚU ¿æ ·ð¤ M¤Â ×ð´ ¥æ ÁæÌæ ãñÐ
vicinity of the wire. If the wire subtends ØçÎ Øã ÌæÚU, ©â ßëæ ·ð¤ ·ð¤Îý ÂÚU çÁâ·¤æ Øã ¿æÂ
an angle 2u0 at the centre of the circle (of
which it forms an arch) then the tension
Öæ» ãñ, 2u0 ·¤æðæ ÕÙæÌæ ãñ Ìæð, ÌæÚU ×ð´ ÌÙæß ãæð»æ Ñ
in the wire is :
(1) IBR
(1) IBR IBR
(2) sinu0
IBR
(2) sinu0
IBR
(3) 2sinu0
IBR
(3) 2sinu0
IBRu0
(4) sinu0
IBRu0
(4) sinu0
21. ç·¤âè ÀUæðÅðU âð δÇU ¿éÕ·¤ ·¤æð Âëßè ·ð¤ ¿éÕ·¤èØ ÿæðæ
21. A short bar magnet is placed in the ·ð¤ ¿éÕ·¤èØ ØæØæðæÚU ×ð´ §â Âý·¤æÚU ÚU¹æ »Øæ ãñ ç·¤
magnetic meridian of the earth with north ©â·¤æ ©æÚU Ïýéß, ©æÚU ·¤è ¥æðÚU ãñÐ §â·ð¤ ·¤æÚUæ
pole pointing north. Neutral points are
found at a distance of 30 cm from the ¿éÕ·¤ ·ð¤ ×ØçÕÎé âð Âêßü-Âçà¿× çÎàææ ×𴠹贿è
magnet on the East - West line, drawn »§ü âÚUÜ ÚðU¹æ ÂÚU, ©ÎæâèÙ çÕÎé ÂýæÌ ãæðÌð ãñ´, çÁÙ·¤è
through the middle point of the magnet. ¿éÕ·¤ âð ÎêÚUè 30 cm ãñÐ Ìæð, ¿éÕ·¤ ·¤æ ¿éÕ·¤èØ
The magnetic moment of the magnet in
¥ææêæü (Am2 ×ð´) ãæð»æ ֻܻ Ñ
Am2 is close to :
m0 2 (çÎØæ ãñ,
m0 2
5 10 7 SI ×ææ·¤ ×ð́ ÌÍæ BH5Âëßè
(Given 5 10 7 in SI units and 4p
4p
B H 5Horizontal component of earths ·ð¤ ¿éÕ·¤èØ ÿæðæ ·¤æ ÿæñçÌÁ æÅU·¤ 53.631025
magnetic field53.631025 Tesla.) Tesla.)
(1) 9.7 (1) 9.7
(2) 4.9 (2) 4.9
(3) 19.4 (3) 19.4
(4) 14.6 (4) 14.6
Page 14
Page 13 PHYSICS : English & Hindi 01
22. For the LCR circuit, shown here, the 22. Øãæ¡ ÎàææüØð »Øð LCR ÂçÚUÂÍ ×ð´, çßléÌÏæÚUæ, ¥æÚUæðçÂÌ
current is observed to lead the applied
ßæðËÅUÌæ âð ¥»ý»æ×è (¥æ»ð) ÚUãÌè ãñÐ ÂçÚUÂÍ ×ð´ ÁéǸð
voltage. An additional capacitor C9, when
joined with the capacitor C present in the â´ÏæçÚUæ C ·ð¤ âæÍ °·¤ ¥çÌçÚUÌ â´ÏæçÚUæ C9 ÁæðǸÙð
circuit, makes the power factor of the âð, §â ÂçÚUÂÍ ·¤æ àæçÌ-»éæ·¤ §·¤æ§ü (°·¤·¤) ãæð
circuit unity. The capacitor C9, must have ÁæÌæ ãñÐ Ìæð, â´ÏæçÚUæ C9 ·¤æð ¥ßàØ ãè ÁæðÇ¸æ »Øæ
been connected in :
ãæð»æ Ñ
(1) series with C and has a magnitude
(1) C âð æðæè ·ý¤× ×ð´ ¥æñÚU ©â·¤æ ×æÙ ãæð»æ
1 2 v2 LC
. 1 2 v2 LC
v2 L .
v2 L
(2) series with C and has a magnitude
C (2) C âð æðæè ·ý¤× ×ð´ ¥æñÚU ©â·¤æ ×æÙ ãæð»æ
(v2 LC 2 1) . C
(v LC 2 1) .
2
(3) parallel with C and has a magnitude
C (3) C âð â×æ´ÌÚU (Âæàßü) ·ý¤× ×ð´ ¥æñÚU ©â·¤æ ×æÙ
(v LC 2 1) .
2
C
ãæð»æ (v2 LC 2 1) .
(4) parallel with C and has a magnitude
1 2 v 2 LC (4) C âð â×æ´ÌÚU ·ý¤× ×ð´ ¥æñÚU ©â·¤æ ×æÙ ãæð»æ
.
v2 L
1 2 v 2 LC
23. For plane electromagnetic waves .
v2 L
propagating in the z direction, which one
of the following combination gives the 23. z çÎàææ ×ð´ »×Ù ·¤ÚUÌè ãé§ü â×ÌÜ çßléÌ-¿éÕ·¤èØ
→ → ÌÚ´U»æð´ ·ð¤ çÜØð, çÙÙæ´ç·¤Ì â´ØæðÁÙæð´ ×ð´ ·¤æñÙ-âæ â´ØæðÁÙ
correct possible direction for E and B
→ →
field respectively ? ·ý¤×àæÑ E ÌÍæ B ÿæðææð´ ·¤è âãè çÎàææ ÎàææüÌæ ãñ?
(1) ( i 1 2 j ) and ( 2 i 2 j )
∧ ∧ ∧ ∧
(1) ( i 1 2 j ) ÌÍæ ( 2 i 2 j )
∧ ∧ ∧ ∧
(2) (2 2 i 2 3 j ) and ( 3 i 2 2 j )
∧ ∧ ∧ ∧
(2) (2 2 i 2 3 j ) ÌÍæ ( 3 i 2 2 j )
∧ ∧ ∧ ∧
(3) ( 2 i 1 3 j ) and ( i 1 2 j )
∧ ∧ ∧ ∧
(3) ( 2 i 1 3 j ) ÌÍæ ( i 1 2 j )
∧ ∧ ∧ ∧
(4) ( 3 i 1 4 j ) and ( 4 i 2 3 j ) (4) ( 3 i 1 4 j ) ÌÍæ ( 4 i 2 3 j )
∧ ∧ ∧ ∧ ∧ ∧ ∧ ∧
22. For the LCR circuit, shown here, the 22. Øãæ¡ ÎàææüØð »Øð LCR ÂçÚUÂÍ ×ð´, çßléÌÏæÚUæ, ¥æÚUæðçÂÌ
current is observed to lead the applied
ßæðËÅUÌæ âð ¥»ý»æ×è (¥æ»ð) ÚUãÌè ãñÐ ÂçÚUÂÍ ×ð´ ÁéǸð
voltage. An additional capacitor C9, when
joined with the capacitor C present in the â´ÏæçÚUæ C ·ð¤ âæÍ °·¤ ¥çÌçÚUÌ â´ÏæçÚUæ C9 ÁæðǸÙð
circuit, makes the power factor of the âð, §â ÂçÚUÂÍ ·¤æ àæçÌ-»éæ·¤ §·¤æ§ü (°·¤·¤) ãæð
circuit unity. The capacitor C9, must have ÁæÌæ ãñÐ Ìæð, â´ÏæçÚUæ C9 ·¤æð ¥ßàØ ãè ÁæðÇ¸æ »Øæ
been connected in :
ãæð»æ Ñ
(1) series with C and has a magnitude
(1) C âð æðæè ·ý¤× ×ð´ ¥æñÚU ©â·¤æ ×æÙ ãæð»æ
1 2 v2 LC
. 1 2 v2 LC
v2 L .
v2 L
(2) series with C and has a magnitude
C (2) C âð æðæè ·ý¤× ×ð´ ¥æñÚU ©â·¤æ ×æÙ ãæð»æ
(v2 LC 2 1) . C
(v LC 2 1) .
2
(3) parallel with C and has a magnitude
C (3) C âð â×æ´ÌÚU (Âæàßü) ·ý¤× ×ð´ ¥æñÚU ©â·¤æ ×æÙ
(v LC 2 1) .
2
C
ãæð»æ (v2 LC 2 1) .
(4) parallel with C and has a magnitude
1 2 v 2 LC (4) C âð â×æ´ÌÚU ·ý¤× ×ð´ ¥æñÚU ©â·¤æ ×æÙ ãæð»æ
.
v2 L
1 2 v 2 LC
23. For plane electromagnetic waves .
v2 L
propagating in the z direction, which one
of the following combination gives the 23. z çÎàææ ×ð´ »×Ù ·¤ÚUÌè ãé§ü â×ÌÜ çßléÌ-¿éÕ·¤èØ
→ → ÌÚ´U»æð´ ·ð¤ çÜØð, çÙÙæ´ç·¤Ì â´ØæðÁÙæð´ ×ð´ ·¤æñÙ-âæ â´ØæðÁÙ
correct possible direction for E and B
→ →
field respectively ? ·ý¤×àæÑ E ÌÍæ B ÿæðææð´ ·¤è âãè çÎàææ ÎàææüÌæ ãñ?
(1) ( i 1 2 j ) and ( 2 i 2 j )
∧ ∧ ∧ ∧
(1) ( i 1 2 j ) ÌÍæ ( 2 i 2 j )
∧ ∧ ∧ ∧
(2) (2 2 i 2 3 j ) and ( 3 i 2 2 j )
∧ ∧ ∧ ∧
(2) (2 2 i 2 3 j ) ÌÍæ ( 3 i 2 2 j )
∧ ∧ ∧ ∧
(3) ( 2 i 1 3 j ) and ( i 1 2 j )
∧ ∧ ∧ ∧
(3) ( 2 i 1 3 j ) ÌÍæ ( i 1 2 j )
∧ ∧ ∧ ∧
(4) ( 3 i 1 4 j ) and ( 4 i 2 3 j ) (4) ( 3 i 1 4 j ) ÌÍæ ( 4 i 2 3 j )
∧ ∧ ∧ ∧ ∧ ∧ ∧ ∧
Page 15
Page 14 PHYSICS : English & Hindi 01
24. A thin convex lens of focal length f is put 24. °·¤ ©æÜ Üð´â ·¤æð, ¥æÚðU¹ ×ð´ ÎàææüØð »Øð ¥ÙéâæÚU
on a plane mirror as shown in the figure.
ç·¤âè â×ÌÜ ÎÂüæ ·ð¤ ª¤ÂÚU ÚU¹æ »Øæ ãñÐ Üð´â ·¤è
When an object is kept at a distance a
from the lens - mirror combination, its Ȥæð·¤â ÎêÚUè f ãñÐ §â â´ØæðÁÙ âð ç·¤âè ßSÌé ·¤æð a
a ÎêÚUè ÂÚU ÚU¹Ùð âð, ©â·¤æ ÂýçÌçÕÕ â´ØæðÁÙ ·ð¤ âæ×Ùð
image is formed at a distance in front
3 a
of the combination. The value of a is : 3
ÎêÚUè ÂÚU ÕÙÌæ ãñÐ Ìæð, a ·¤æ ×æÙ ãñ Ñ
(1) f (1) f
(2) 2f (2) 2f
(3) 3f (3) 3f
3 3
(4) f (4) f
2 2
25. In a Youngs double slit experiment with 25. Ø´» ·ð¤ ç·¤âè çm-çÛæÚUè ÂýØæð» ×ð´, ÂýØéÌ Âý·¤æàæ ·¤è
light of wavelength l the separation of slits
is d and distance of screen is D such that
ÌÚ´U»ÎñØü l, çÛæçÚUØæð´ (çSÜÅUæð´) ·ð¤ Õè¿ ·¤è ÎêÚUè d,
D > > d > > l. If the Fringe width is b, the ÌÍæ ÂÎð ü ·¤è çÛæçÚUØæð ´ âð Îê Ú Uè D ãñ Ð
distance from point of maximum intensity Áãæ¡, D > > d > > lÐ ØçÎ, çÈý´¤Á ¿æñǸæ§ü b ãñ Ìæð,
to the point where intensity falls to half of ¥çÏ·¤Ì× ÌèßýÌæ ·ð¤ çÕÎé âð, ÎæðÙæð´ ¥æðÚU ·ð¤ ©Ù çÕÎé¥æð´
maximum intensity on either side is :
·¤è ÎêÚUè, Áãæ¡ ÌèßýÌæ, ¥çÏ·¤Ì× âð ¥æÏè ãæð ÁæÌè ãñ,
b ãæð»è Ñ
(1)
2
b
b (1)
(2) 2
4
b
b (2)
(3) 4
3
b
b (3)
(4) 3
6
b
(4)
6
24. A thin convex lens of focal length f is put 24. °·¤ ©æÜ Üð´â ·¤æð, ¥æÚðU¹ ×ð´ ÎàææüØð »Øð ¥ÙéâæÚU
on a plane mirror as shown in the figure.
ç·¤âè â×ÌÜ ÎÂüæ ·ð¤ ª¤ÂÚU ÚU¹æ »Øæ ãñÐ Üð´â ·¤è
When an object is kept at a distance a
from the lens - mirror combination, its Ȥæð·¤â ÎêÚUè f ãñÐ §â â´ØæðÁÙ âð ç·¤âè ßSÌé ·¤æð a
a ÎêÚUè ÂÚU ÚU¹Ùð âð, ©â·¤æ ÂýçÌçÕÕ â´ØæðÁÙ ·ð¤ âæ×Ùð
image is formed at a distance in front
3 a
of the combination. The value of a is : 3
ÎêÚUè ÂÚU ÕÙÌæ ãñÐ Ìæð, a ·¤æ ×æÙ ãñ Ñ
(1) f (1) f
(2) 2f (2) 2f
(3) 3f (3) 3f
3 3
(4) f (4) f
2 2
25. In a Youngs double slit experiment with 25. Ø´» ·ð¤ ç·¤âè çm-çÛæÚUè ÂýØæð» ×ð´, ÂýØéÌ Âý·¤æàæ ·¤è
light of wavelength l the separation of slits
is d and distance of screen is D such that
ÌÚ´U»ÎñØü l, çÛæçÚUØæð´ (çSÜÅUæð´) ·ð¤ Õè¿ ·¤è ÎêÚUè d,
D > > d > > l. If the Fringe width is b, the ÌÍæ ÂÎð ü ·¤è çÛæçÚUØæð ´ âð Îê Ú Uè D ãñ Ð
distance from point of maximum intensity Áãæ¡, D > > d > > lÐ ØçÎ, çÈý´¤Á ¿æñǸæ§ü b ãñ Ìæð,
to the point where intensity falls to half of ¥çÏ·¤Ì× ÌèßýÌæ ·ð¤ çÕÎé âð, ÎæðÙæð´ ¥æðÚU ·ð¤ ©Ù çÕÎé¥æð´
maximum intensity on either side is :
·¤è ÎêÚUè, Áãæ¡ ÌèßýÌæ, ¥çÏ·¤Ì× âð ¥æÏè ãæð ÁæÌè ãñ,
b ãæð»è Ñ
(1)
2
b
b (1)
(2) 2
4
b
b (2)
(3) 4
3
b
b (3)
(4) 3
6
b
(4)
6
Page 16
Page 15 PHYSICS : English & Hindi 01
26. Unpolarized light of intensity I0 is incident 26. I0 ÌèßýÌæ ·¤æ ¥ÏýéçßÌ Âý·¤æàæ, ·¤æ¡¿ ·ð¤ Üæò·¤ (»éÅU·ð¤)
on surface of a block of glass at Brewsters
angle. In that case, which one of the ·¤è âÌã (ÂëcÆU) ÂÚU, ÕýêSÅUÚU ·¤æðæ ÂÚU, ¥æÂçÌÌ ãæðÌæ
following statements is true ? ãñÐ §â çSÍçÌ ·ð¤ çÜØð çÙÙçÜç¹Ì ×ð´ âð ·¤æñÙâæ
(1) transmitted light is partially ·¤ÍÙ âãè (âØ) ãñ?
polarized with intensity I0/2.
(1) ÂæÚU»Ì Âý·¤æàæ, ¥æ´çàæ·¤ ÏýéçßÌ ãæð»æ ¥æñÚU ©â·¤è
(2) transmitted light is completely
ÌèßýÌæ I0/2 ãæð»èÐ
polarized with intensity less than
I0/2. (2) ÂæÚU»Ì Âý·¤æàæ ÂêæüM¤Â âð Ïýçé ßÌ ãæð»æ ¥æñÚU ©â·¤è
(3) reflected light is completely polarized ÌèßýÌæ I0/2 âð ·¤× ãæð»èÐ
with intensity less than I0/2.
(3) ÂÚUæßçÌüÌ Âý·¤æàæ ÂêæüÌÑ ÏýéçßÌ ãæð»æ ¥æñÚU ©â·¤è
(4) reflected light is partially polarized
with intensity I0/2.
ÌèßýÌæ I0/2 âð ·¤× ãæð»èÐ
(4) ÂÚUæßçÌüÌ Âý·¤æàæ ÂêæüÌÑ ÏýéçßÌ ãæð»æ ¥æñÚU ©â·¤è
27. The de - Broglie wavelength associated ÌèßýÌæ I0/2 ãæð»èÐ
with the electron in the n54 level is :
(1) two times the de-Broglie wavelength 27. n54 SÌÚU ÂÚU, ç·¤âè §ÜðÅþUæòÙ âð â´Õh Îð-ÕýæòÜè
of the electron in the ground state
ÌÚ´U»ÎñØü ãæð»è Ñ
(2) four times the de-Broglie wavelength
of the electron in the ground state (1) ØêÙÌ× ª¤Áæü SÌÚU ÂÚU §ÜðÅþUæòÙ ·¤è Îð-ÕýæòÜè
(3) half of the de-Broglie wavelength of ÌÚ´U»ÎñØü âð Îæð »éÙæÐ
the electron in the ground state
(2) ØêÙÌ× ª¤Áæü SÌÚU ÂÚU §ÜðÅþUæòÙ ·¤è Îð-ÕýæòÜè
(4) 1/4th of the de-Broglie wavelength ÌÚ´U»ÎñØü ·¤è ¿æÚU »éÙæÐ
of the electron in the ground state
(3) ØêÙÌ× ª¤Áæü SÌÚU ÂÚU §ÜðÅþUæòÙ ·¤è Îð-ÕýæòÜè
28. Let Nb be the number of b particles emitted ÌÚ´U»ÎñØü ·¤è ¥æÏèÐ
24 (4) ØêÙÌ× ª¤Áæü SÌÚU ÂÚU §ÜðÅþUæòÙ ·¤è Îð-ÕýæòÜè
by 1 gram of Na radioactive nuclei
(half life515 hrs) in 7.5 hours, Nb is close
ÌÚ´U»ÎñØü ·¤è 1/4.
to (Avogadro number 56.023310 23/g.
mole) :
24
(1) 6.2310 21 28. ØçÎ 1 »ýæ× Na ÚðUçÇUØæð°çÅUß ÙæçÖ·¤ (¥Ïü ¥æØé
(2) 7.5310 21 15 æ´ÅðU) mæÚUæ 7.5 æ´ÅðU ×ð´ ©âçÁüÌ b ·¤ææð´ ·¤è
(3) 1.25310 22 â´Øæ Nb ãæð Ìæð, Nb ·¤æ ×æÙ çÙ·¤ÅU ãæð»æ
(4) 1.75310 22 (¥æßæð»æÎýUæð â´Øæ 6.02331023/g. mol) :
(1) 6.2310 21
(2) 7.5310 21
(3) 1.25310 22
(4) 1.75310 22
26. Unpolarized light of intensity I0 is incident 26. I0 ÌèßýÌæ ·¤æ ¥ÏýéçßÌ Âý·¤æàæ, ·¤æ¡¿ ·ð¤ Üæò·¤ (»éÅU·ð¤)
on surface of a block of glass at Brewsters
angle. In that case, which one of the ·¤è âÌã (ÂëcÆU) ÂÚU, ÕýêSÅUÚU ·¤æðæ ÂÚU, ¥æÂçÌÌ ãæðÌæ
following statements is true ? ãñÐ §â çSÍçÌ ·ð¤ çÜØð çÙÙçÜç¹Ì ×ð´ âð ·¤æñÙâæ
(1) transmitted light is partially ·¤ÍÙ âãè (âØ) ãñ?
polarized with intensity I0/2.
(1) ÂæÚU»Ì Âý·¤æàæ, ¥æ´çàæ·¤ ÏýéçßÌ ãæð»æ ¥æñÚU ©â·¤è
(2) transmitted light is completely
ÌèßýÌæ I0/2 ãæð»èÐ
polarized with intensity less than
I0/2. (2) ÂæÚU»Ì Âý·¤æàæ ÂêæüM¤Â âð Ïýçé ßÌ ãæð»æ ¥æñÚU ©â·¤è
(3) reflected light is completely polarized ÌèßýÌæ I0/2 âð ·¤× ãæð»èÐ
with intensity less than I0/2.
(3) ÂÚUæßçÌüÌ Âý·¤æàæ ÂêæüÌÑ ÏýéçßÌ ãæð»æ ¥æñÚU ©â·¤è
(4) reflected light is partially polarized
with intensity I0/2.
ÌèßýÌæ I0/2 âð ·¤× ãæð»èÐ
(4) ÂÚUæßçÌüÌ Âý·¤æàæ ÂêæüÌÑ ÏýéçßÌ ãæð»æ ¥æñÚU ©â·¤è
27. The de - Broglie wavelength associated ÌèßýÌæ I0/2 ãæð»èÐ
with the electron in the n54 level is :
(1) two times the de-Broglie wavelength 27. n54 SÌÚU ÂÚU, ç·¤âè §ÜðÅþUæòÙ âð â´Õh Îð-ÕýæòÜè
of the electron in the ground state
ÌÚ´U»ÎñØü ãæð»è Ñ
(2) four times the de-Broglie wavelength
of the electron in the ground state (1) ØêÙÌ× ª¤Áæü SÌÚU ÂÚU §ÜðÅþUæòÙ ·¤è Îð-ÕýæòÜè
(3) half of the de-Broglie wavelength of ÌÚ´U»ÎñØü âð Îæð »éÙæÐ
the electron in the ground state
(2) ØêÙÌ× ª¤Áæü SÌÚU ÂÚU §ÜðÅþUæòÙ ·¤è Îð-ÕýæòÜè
(4) 1/4th of the de-Broglie wavelength ÌÚ´U»ÎñØü ·¤è ¿æÚU »éÙæÐ
of the electron in the ground state
(3) ØêÙÌ× ª¤Áæü SÌÚU ÂÚU §ÜðÅþUæòÙ ·¤è Îð-ÕýæòÜè
28. Let Nb be the number of b particles emitted ÌÚ´U»ÎñØü ·¤è ¥æÏèÐ
24 (4) ØêÙÌ× ª¤Áæü SÌÚU ÂÚU §ÜðÅþUæòÙ ·¤è Îð-ÕýæòÜè
by 1 gram of Na radioactive nuclei
(half life515 hrs) in 7.5 hours, Nb is close
ÌÚ´U»ÎñØü ·¤è 1/4.
to (Avogadro number 56.023310 23/g.
mole) :
24
(1) 6.2310 21 28. ØçÎ 1 »ýæ× Na ÚðUçÇUØæð°çÅUß ÙæçÖ·¤ (¥Ïü ¥æØé
(2) 7.5310 21 15 æ´ÅðU) mæÚUæ 7.5 æ´ÅðU ×ð´ ©âçÁüÌ b ·¤ææð´ ·¤è
(3) 1.25310 22 â´Øæ Nb ãæð Ìæð, Nb ·¤æ ×æÙ çÙ·¤ÅU ãæð»æ
(4) 1.75310 22 (¥æßæð»æÎýUæð â´Øæ 6.02331023/g. mol) :
(1) 6.2310 21
(2) 7.5310 21
(3) 1.25310 22
(4) 1.75310 22
Page 17
Page 16 PHYSICS : English & Hindi 01
29. A 2V battery is connected across AB as 29. ¥æÚðU¹ ×ð´ 2V ·¤è °·¤ ÕñÅUÚUè A ß B ·ð¤ Õè¿ ÁéǸè ãñÐ
shown in the figure. The value of the
ØçÎ ÂãÜè Îàææ ×ð´ ÕñÅUÚUè ·¤æ ÏÙæ×·¤ ÅUç×üÙÜ A âð
current supplied by the battery when in
one case batterys positive terminal is ÌÍæ ÎêâÚUè Îàææ ×ð´ ÏÙæ×·¤ ÅUç×üÙÜ B âð ÁéǸæ ãæð Ìæð,
connected to A and in other case when §Ù ÎæðÙæð´ Îàææ¥æð´ ×ð´ ÕñÅUÚUè mæÚUæ ÂýÎæ çßléÌ ÏæÚUæ ·¤æ
positive terminal of battery is connected ×æÙ ·ý¤×àæÑ ãæð»æ Ñ
to B will respectively be :
(1) 0.2 A ÌÍæ 0.1 A
(1) 0.2 A and 0.1 A
(2) 0.4 A and 0.2 A (2) 0.4 A ÌÍæ 0.2 A
(3) 0.1 A and 0.2 A (3) 0.1 A ÌÍæ 0.2 A
(4) 0.2 A and 0.4 A (4) 0.2 A ÌÍæ 0.4 A
30. The AC voltage across a resistance can be
measured using a : 30. ç·¤âè ÂýçÌÚUæðÏ ·ð¤ çâÚUæð´ ·ð¤ Õè¿ AC (°.âè.) ßæðËÅUÌæ
(1) potentiometer ·¤æð ×æÂæ Áæ â·¤Ìæ ãñ Ñ
(2) moving coil galvanometer (1) ÂæðÅðUçàæØæð×èÅUÚU (çßÖß×æÂè) mæÚUæ
(3) moving magnet galvanometer (2) ¿Ü ·é´¤ÇUÜè ÏæÚUæ×æÂè (»ñËßðÙæð×èÅUÚU) mæÚUæ
(4) hot wire voltmeter (3) ¿Ü-¿éÕ·¤ »ñËßðÙæð×èÅUÚU mæÚUæ
(4) ÌÌ ÌæÚU ßæðËÅU×èÅUÚU mæÚUæ
29. A 2V battery is connected across AB as 29. ¥æÚðU¹ ×ð´ 2V ·¤è °·¤ ÕñÅUÚUè A ß B ·ð¤ Õè¿ ÁéǸè ãñÐ
shown in the figure. The value of the
ØçÎ ÂãÜè Îàææ ×ð´ ÕñÅUÚUè ·¤æ ÏÙæ×·¤ ÅUç×üÙÜ A âð
current supplied by the battery when in
one case batterys positive terminal is ÌÍæ ÎêâÚUè Îàææ ×ð´ ÏÙæ×·¤ ÅUç×üÙÜ B âð ÁéǸæ ãæð Ìæð,
connected to A and in other case when §Ù ÎæðÙæð´ Îàææ¥æð´ ×ð´ ÕñÅUÚUè mæÚUæ ÂýÎæ çßléÌ ÏæÚUæ ·¤æ
positive terminal of battery is connected ×æÙ ·ý¤×àæÑ ãæð»æ Ñ
to B will respectively be :
(1) 0.2 A ÌÍæ 0.1 A
(1) 0.2 A and 0.1 A
(2) 0.4 A and 0.2 A (2) 0.4 A ÌÍæ 0.2 A
(3) 0.1 A and 0.2 A (3) 0.1 A ÌÍæ 0.2 A
(4) 0.2 A and 0.4 A (4) 0.2 A ÌÍæ 0.4 A
30. The AC voltage across a resistance can be
measured using a : 30. ç·¤âè ÂýçÌÚUæðÏ ·ð¤ çâÚUæð´ ·ð¤ Õè¿ AC (°.âè.) ßæðËÅUÌæ
(1) potentiometer ·¤æð ×æÂæ Áæ â·¤Ìæ ãñ Ñ
(2) moving coil galvanometer (1) ÂæðÅðUçàæØæð×èÅUÚU (çßÖß×æÂè) mæÚUæ
(3) moving magnet galvanometer (2) ¿Ü ·é´¤ÇUÜè ÏæÚUæ×æÂè (»ñËßðÙæð×èÅUÚU) mæÚUæ
(4) hot wire voltmeter (3) ¿Ü-¿éÕ·¤ »ñËßðÙæð×èÅUÚU mæÚUæ
(4) ÌÌ ÌæÚU ßæðËÅU×èÅUÚU mæÚUæ
Page 18
Page 1 CHEMISTRY : English & Hindi 01
1. A12B13C ì AB2C3 1. A12B13C ì AB2C3
Reaction of 6.0 g of A, 6.031023 atoms of 6.0 g A, 6.031023 ÂÚU×ææé B ÌÍæ 0.036 ×æðÜ C
B, and 0.036 mol of C yields 4.8 g of
·ð¤ ¥çÖç·ý¤Øæ ·¤ÚUÙð ÂÚU 4.8 g AB2C3 ÂýæÌ ãæðÌæ ãñÐ
compound AB2C3. If the atomic mass of
A and C are 60 and 80 amu, respectively, ØçÎ A ÌÍæ C ·ð¤ ÂÚU×ææé ÎýÃØ×æÙ ·ý¤×àæÑ 60 ¥æñÚU
the atomic mass of B is (Avogadro 80 amu ãæð´, Ìæð B ·¤æ ÂÚU×ææé ÎýÃØ×æÙ ãñ (¥æßæð»æÎýæð
no.5631023) : â´Øæ5631023) Ñ
(1) 70 amu (1) 70 amu
(2) 60 amu (2) 60 amu
(3) 50 amu (3) 50 amu
(4) 40 amu (4) 40 amu
2. When does a gas deviate the most from its
ideal behaviour ?
2. °·¤ »ñâ ¥ÂÙð ¥æÎàæü ÃØßãæÚU âð âßæüçÏ·¤ çß¿ÜÙ
(1) At low pressure and low
·¤Õ ÎàææüÌè ãñ?
temperature (1) çÙÙ ÎæÕ ¥æñÚU çÙÙ Ìæ ÂÚU
(2) At low pressure and high (2) çÙÙ ÎæÕ ¥æñÚU ©æ Ìæ ÂÚU
temperature
(3) At high pressure and low (3) ©æ ÎæÕ ¥æñÚU çÙÙ Ìæ ÂÚU
temperature (4) ©æ ÎæÕ ¥æñÚU ©æ Ìæ ÂÚU
(4) At high pressure and high
temperature
3. Ìæ T ÂÚU, ç·¤âè Öè ·¤æ ·¤è ¥æñâÌ »çÌÁ ª¤Áæü
3
3. At temperature T, the average kinetic kT ãñÐ Îð ÕýæòÜè ÌÚ´U»-ÎñØü ·¤æ âãè ·ý¤× ãñ Ñ
2
3
energy of any particle is kT. The (1) ÌæÂèØ ÂýæðÅUæòÙ > ÎëàØ È¤æðÅUæòÙ > ÌæÂèØ §ÜðÅþUæòÙ
2
de Broglie wavelength follows the order : (2) ÌæÂèØ ÂýæðÅUæòÙ > ÌæÂèØ §ÜðÅþUæòÙ > ÎëàØ È¤æðÅUæòÙ
(1) Thermal proton > Visible photon >
Thermal electron (3) ÎëàØ È¤æðÅUæòÙ > ÌæÂèØ §ÜðÅþUæòÙ > ÌæÂèØ ØêÅþUæòÙ
(2) Thermal proton > Thermal electron (4) ÎëàØ È¤æðÅUæòÙ > ÌæÂèØ ØêÅþUæòÙ > ÌæÂèØ §ÜðÅþUæòÙ
> Visible photon
(3) Visible photon > Thermal electron >
Thermal neutron
4. ¥æé AB ·¤è ¥æÕ´Ï Ü´Õæ§ü 1.617Å ãñ ¥æñÚU ©â·¤æ
çmÏýéß ¥ææêæü 0.38 D ãñÐ ÂýØð·¤ ÂÚU×ææé ÂÚU ¥æ´çàæ·¤
(4) Visible photon > Thermal neutron >
Thermal electron ¥æßðàæ (çÙÚUÂðÿæ ÂçÚU×ææ) ãñ Ñ
(e054.802310210 esu)
4. Molecule AB has a bond length of 1.617Å (1) 0
and a dipole moment of 0.38 D. The (2) 0.05
fractional charge on each atom (absolute
(3) 0.5
magnitude) is : (e054.802310210 esu)
(4) 1.0
(1) 0
(2) 0.05
(3) 0.5
(4) 1.0
1. A12B13C ì AB2C3 1. A12B13C ì AB2C3
Reaction of 6.0 g of A, 6.031023 atoms of 6.0 g A, 6.031023 ÂÚU×ææé B ÌÍæ 0.036 ×æðÜ C
B, and 0.036 mol of C yields 4.8 g of
·ð¤ ¥çÖç·ý¤Øæ ·¤ÚUÙð ÂÚU 4.8 g AB2C3 ÂýæÌ ãæðÌæ ãñÐ
compound AB2C3. If the atomic mass of
A and C are 60 and 80 amu, respectively, ØçÎ A ÌÍæ C ·ð¤ ÂÚU×ææé ÎýÃØ×æÙ ·ý¤×àæÑ 60 ¥æñÚU
the atomic mass of B is (Avogadro 80 amu ãæð´, Ìæð B ·¤æ ÂÚU×ææé ÎýÃØ×æÙ ãñ (¥æßæð»æÎýæð
no.5631023) : â´Øæ5631023) Ñ
(1) 70 amu (1) 70 amu
(2) 60 amu (2) 60 amu
(3) 50 amu (3) 50 amu
(4) 40 amu (4) 40 amu
2. When does a gas deviate the most from its
ideal behaviour ?
2. °·¤ »ñâ ¥ÂÙð ¥æÎàæü ÃØßãæÚU âð âßæüçÏ·¤ çß¿ÜÙ
(1) At low pressure and low
·¤Õ ÎàææüÌè ãñ?
temperature (1) çÙÙ ÎæÕ ¥æñÚU çÙÙ Ìæ ÂÚU
(2) At low pressure and high (2) çÙÙ ÎæÕ ¥æñÚU ©æ Ìæ ÂÚU
temperature
(3) At high pressure and low (3) ©æ ÎæÕ ¥æñÚU çÙÙ Ìæ ÂÚU
temperature (4) ©æ ÎæÕ ¥æñÚU ©æ Ìæ ÂÚU
(4) At high pressure and high
temperature
3. Ìæ T ÂÚU, ç·¤âè Öè ·¤æ ·¤è ¥æñâÌ »çÌÁ ª¤Áæü
3
3. At temperature T, the average kinetic kT ãñÐ Îð ÕýæòÜè ÌÚ´U»-ÎñØü ·¤æ âãè ·ý¤× ãñ Ñ
2
3
energy of any particle is kT. The (1) ÌæÂèØ ÂýæðÅUæòÙ > ÎëàØ È¤æðÅUæòÙ > ÌæÂèØ §ÜðÅþUæòÙ
2
de Broglie wavelength follows the order : (2) ÌæÂèØ ÂýæðÅUæòÙ > ÌæÂèØ §ÜðÅþUæòÙ > ÎëàØ È¤æðÅUæòÙ
(1) Thermal proton > Visible photon >
Thermal electron (3) ÎëàØ È¤æðÅUæòÙ > ÌæÂèØ §ÜðÅþUæòÙ > ÌæÂèØ ØêÅþUæòÙ
(2) Thermal proton > Thermal electron (4) ÎëàØ È¤æðÅUæòÙ > ÌæÂèØ ØêÅþUæòÙ > ÌæÂèØ §ÜðÅþUæòÙ
> Visible photon
(3) Visible photon > Thermal electron >
Thermal neutron
4. ¥æé AB ·¤è ¥æÕ´Ï Ü´Õæ§ü 1.617Å ãñ ¥æñÚU ©â·¤æ
çmÏýéß ¥ææêæü 0.38 D ãñÐ ÂýØð·¤ ÂÚU×ææé ÂÚU ¥æ´çàæ·¤
(4) Visible photon > Thermal neutron >
Thermal electron ¥æßðàæ (çÙÚUÂðÿæ ÂçÚU×ææ) ãñ Ñ
(e054.802310210 esu)
4. Molecule AB has a bond length of 1.617Å (1) 0
and a dipole moment of 0.38 D. The (2) 0.05
fractional charge on each atom (absolute
(3) 0.5
magnitude) is : (e054.802310210 esu)
(4) 1.0
(1) 0
(2) 0.05
(3) 0.5
(4) 1.0
Page 19
Page 2 CHEMISTRY : English & Hindi 01
5. For the equilibrium, A(g) ì B(g), DH is 5. §â âæØæßSÍæ ·ð ¤ çÜ°, A(g) ì B(g), DH
240 kJ/mol. If the ratio of the activation
240 kJ/mol ãñÐ ¥»ÚU ¥»ý (Ef ) ¥æñÚU Âà¿»æ×è
energies of the forward (Ef ) and reverse
(Eb) ¥çÖç·ý¤Øæ¥æð´ ·ð¤ âç·ý¤Øæ ª¤Áæü¥æð´ ·¤æ ¥ÙéÂæÌ
2
(Eb) reactions is then : 2
3 ãñ, ÌÕ Ñ
3
(1) Ef560 kJ/mol ; Eb5100 kJ/mol
(1) Ef560 kJ/mol ; Eb5100 kJ/mol
(2) Ef530 kJ/mol ; Eb570 kJ/mol
(2) Ef530 kJ/mol ; Eb570 kJ/mol
(3) Ef580 kJ/mol ; Eb5120 kJ/mol
(3) Ef580 kJ/mol ; Eb5120 kJ/mol
(4) Ef570 kJ/mol ; Eb530 kJ/mol
(4) Ef570 kJ/mol ; Eb530 kJ/mol
6. Determination of the molar mass of acetic
acid in benzene using freezing point 6. °ðçâçÅU·¤ ¥Ü ·¤æ ×æðÜÚU ÎýÃØ×æÙ Õð´$ÁèÙ ×ð´ çã×æ´·¤
depression is affected by : ¥ßÙ×Ù âð çÙ·¤æÜð ÁæÙð ÂÚU çÁââð ÂýÖæçßÌ ãæðÌæ ãñ
(1) dissociation ßã ãñ Ñ
(2) association
(1) çßØæðÁÙ
(3) partial ionization
(2) â´»éæÙ
(4) complex formation
(3) ¥æ´çàæ·¤ ¥æØÙè·¤ÚUæ
7. The increase of pressure on ice ì water (4) â´·é¤Ü çßÚU¿Ù
system at constant temperature will lead
to :
(1) no effect on the equilibrium
7. çSÍÚU Ìæ ÂÚU, ¥çÏ·¤ ÎæÕ ÇæÜÙð ÂÚU ÕÈü¤ ì ÁÜ
(2) a decrease in the entropy of the
â×éÎæØ ×ð´ Ñ
system (1) âæØæßSÍæ ÂÚU ·¤æð§ü ÂýÖæß Ùãè´ ãæðÌæ ãñÐ
(3) a shift of the equilibrium in the (2) çÙ·¤æØ ·¤è °ðÅþUæòÂè æÅUÌè ãñÐ
forward direction
(4) an increase in the Gibbs energy of the (3) âæØæßSÍæ ¥»ý çÎàææ ×ð´ ¥»ýâÚU ãæðÌè ãñÐ
system (4) çÙ·¤æØ ·¤è ç»Á ª¤Áæü ÕɸÌè ãñÐ
8. At 298 K, the standard reduction
8. 298 K ÂÚU ×æÙ·¤ ¥Â¿ØÙ çßÖß, MnO2
4 Mn
21
potentials are 1.51 V for MnO2
4 Mn
21 ,
1.36 V for Cl2?Cl2, 1.07 V for Br2?Br2, and
·¤æ 1.51 V, Cl2?Cl2 ·¤æ 1.36 V, Br2?Br2 ·¤æ
0.54 V for I2?I2. At pH53, permanganate 1.07 V ¥æñÚU I2?I2 ·¤æ 0.54 V ãñÐ pH53 ÂÚU
RT MnO2
4 ç·¤Ù·¤æ ©Â¿ØÙ ·¤ÚðU»æ?
is expected to oxidize :
5 0.059 V
F
RT
(1) Cl2, Br2 and I2 5 0.059 V
F
(2) Cl2 and Br2
(1) Cl2, Br2 ¥æñÚU I2
(3) Br2 and I2
(4) I2 only (2) Cl2 ¥æñÚU Br2
(3) Br2 ¥æñÚU I2
(4) I2 ×ææ
5. For the equilibrium, A(g) ì B(g), DH is 5. §â âæØæßSÍæ ·ð ¤ çÜ°, A(g) ì B(g), DH
240 kJ/mol. If the ratio of the activation
240 kJ/mol ãñÐ ¥»ÚU ¥»ý (Ef ) ¥æñÚU Âà¿»æ×è
energies of the forward (Ef ) and reverse
(Eb) ¥çÖç·ý¤Øæ¥æð´ ·ð¤ âç·ý¤Øæ ª¤Áæü¥æð´ ·¤æ ¥ÙéÂæÌ
2
(Eb) reactions is then : 2
3 ãñ, ÌÕ Ñ
3
(1) Ef560 kJ/mol ; Eb5100 kJ/mol
(1) Ef560 kJ/mol ; Eb5100 kJ/mol
(2) Ef530 kJ/mol ; Eb570 kJ/mol
(2) Ef530 kJ/mol ; Eb570 kJ/mol
(3) Ef580 kJ/mol ; Eb5120 kJ/mol
(3) Ef580 kJ/mol ; Eb5120 kJ/mol
(4) Ef570 kJ/mol ; Eb530 kJ/mol
(4) Ef570 kJ/mol ; Eb530 kJ/mol
6. Determination of the molar mass of acetic
acid in benzene using freezing point 6. °ðçâçÅU·¤ ¥Ü ·¤æ ×æðÜÚU ÎýÃØ×æÙ Õð´$ÁèÙ ×ð´ çã×æ´·¤
depression is affected by : ¥ßÙ×Ù âð çÙ·¤æÜð ÁæÙð ÂÚU çÁââð ÂýÖæçßÌ ãæðÌæ ãñ
(1) dissociation ßã ãñ Ñ
(2) association
(1) çßØæðÁÙ
(3) partial ionization
(2) â´»éæÙ
(4) complex formation
(3) ¥æ´çàæ·¤ ¥æØÙè·¤ÚUæ
7. The increase of pressure on ice ì water (4) â´·é¤Ü çßÚU¿Ù
system at constant temperature will lead
to :
(1) no effect on the equilibrium
7. çSÍÚU Ìæ ÂÚU, ¥çÏ·¤ ÎæÕ ÇæÜÙð ÂÚU ÕÈü¤ ì ÁÜ
(2) a decrease in the entropy of the
â×éÎæØ ×ð´ Ñ
system (1) âæØæßSÍæ ÂÚU ·¤æð§ü ÂýÖæß Ùãè´ ãæðÌæ ãñÐ
(3) a shift of the equilibrium in the (2) çÙ·¤æØ ·¤è °ðÅþUæòÂè æÅUÌè ãñÐ
forward direction
(4) an increase in the Gibbs energy of the (3) âæØæßSÍæ ¥»ý çÎàææ ×ð´ ¥»ýâÚU ãæðÌè ãñÐ
system (4) çÙ·¤æØ ·¤è ç»Á ª¤Áæü ÕɸÌè ãñÐ
8. At 298 K, the standard reduction
8. 298 K ÂÚU ×æÙ·¤ ¥Â¿ØÙ çßÖß, MnO2
4 Mn
21
potentials are 1.51 V for MnO2
4 Mn
21 ,
1.36 V for Cl2?Cl2, 1.07 V for Br2?Br2, and
·¤æ 1.51 V, Cl2?Cl2 ·¤æ 1.36 V, Br2?Br2 ·¤æ
0.54 V for I2?I2. At pH53, permanganate 1.07 V ¥æñÚU I2?I2 ·¤æ 0.54 V ãñÐ pH53 ÂÚU
RT MnO2
4 ç·¤Ù·¤æ ©Â¿ØÙ ·¤ÚðU»æ?
is expected to oxidize :
5 0.059 V
F
RT
(1) Cl2, Br2 and I2 5 0.059 V
F
(2) Cl2 and Br2
(1) Cl2, Br2 ¥æñÚU I2
(3) Br2 and I2
(4) I2 only (2) Cl2 ¥æñÚU Br2
(3) Br2 ¥æñÚU I2
(4) I2 ×ææ
Page 20
Page 3 CHEMISTRY : English & Hindi 01
9. A12B ® C, the rate equation for this 9. ¥çÖç·ý¤Øæ A12B ® C ·¤æ ÎÚU â×è·¤ÚUæ ãñ
reaction is given as
ÎÚU5k[A][B].
Rate5k[A][B].
If the concentration of A is kept the same A ·¤è âæ´ÎýÌæ çSÍÚU ÚU¹Ìð ãé° B ·¤è âæ´ÎýÌæ Îé»éÙè ·¤ÚUÙð
but that of B is doubled what will happen ÂÚU ßð» ·¤æ ×æÙ Øæ ãæð»æ?
to the rate itself ?
(1) ¥æÏæ ÚUã Áæ°»æ
(1) halved
(2) the same
(2) â×æÙ ÚUãð»æ
(3) doubled (3) Îé»éÙæ ãæð Áæ°»æ
(4) quadrupled (4) ¿æÚU »éÙæ ãæð Áæ°»æ
10. Under ambient conditions, which among 10. ÂçÚUßðàæ çSÍçÌ ÂÚU, ·¤æñÙ-ÂëcÆU â´ç·ý¤Ø·¤ ÁÜèØ çßÜØÙ
the following surfactants will form micelles
in aqueous solution at lowest molar ×ð´ âÕâð ·¤× ×æðÜèØ âæ´Îýæ ×ð´ ç×âðÜ ÕÙæ°»æ?
concentration ?
(1)
(1)
(2) CH32(CH2)132 OSO2
3 Na
1
(2) CH32(CH2)132 OSO2
3 Na
1
(3)
(3)
(4)
(4)
11. Ìß X ·ð¤ ¿æÚU Øæñç»·¤æð´ ·ð¤ âêææð´ ×ð´ âð »ÜÌ âêæ
11. Choose the incorrect formula out of the ¿éçÙ° Ñ
four compounds for an element X below :
(1) X2Cl3
(1) X2Cl3
(2) X2O3
(2) X 2O3
(3) X2(SO4)3
(3) X2(SO4)3
(4) XPO4
(4) XPO4
12. ·ñ¤Üæç×Ù çÁâ·¤æ ¥ØS·¤ ãñ, ßã ãñ Ñ
12. Calamine is an ore of :
(1) Aluminium (1) °ðÜéç×çÙØ×
(2) Copper (2) ·¤æòÂÚU
(3) Iron (3) ¥æØÚUÙ
(4) Zinc
(4) çÁ´·¤
9. A12B ® C, the rate equation for this 9. ¥çÖç·ý¤Øæ A12B ® C ·¤æ ÎÚU â×è·¤ÚUæ ãñ
reaction is given as
ÎÚU5k[A][B].
Rate5k[A][B].
If the concentration of A is kept the same A ·¤è âæ´ÎýÌæ çSÍÚU ÚU¹Ìð ãé° B ·¤è âæ´ÎýÌæ Îé»éÙè ·¤ÚUÙð
but that of B is doubled what will happen ÂÚU ßð» ·¤æ ×æÙ Øæ ãæð»æ?
to the rate itself ?
(1) ¥æÏæ ÚUã Áæ°»æ
(1) halved
(2) the same
(2) â×æÙ ÚUãð»æ
(3) doubled (3) Îé»éÙæ ãæð Áæ°»æ
(4) quadrupled (4) ¿æÚU »éÙæ ãæð Áæ°»æ
10. Under ambient conditions, which among 10. ÂçÚUßðàæ çSÍçÌ ÂÚU, ·¤æñÙ-ÂëcÆU â´ç·ý¤Ø·¤ ÁÜèØ çßÜØÙ
the following surfactants will form micelles
in aqueous solution at lowest molar ×ð´ âÕâð ·¤× ×æðÜèØ âæ´Îýæ ×ð´ ç×âðÜ ÕÙæ°»æ?
concentration ?
(1)
(1)
(2) CH32(CH2)132 OSO2
3 Na
1
(2) CH32(CH2)132 OSO2
3 Na
1
(3)
(3)
(4)
(4)
11. Ìß X ·ð¤ ¿æÚU Øæñç»·¤æð´ ·ð¤ âêææð´ ×ð´ âð »ÜÌ âêæ
11. Choose the incorrect formula out of the ¿éçÙ° Ñ
four compounds for an element X below :
(1) X2Cl3
(1) X2Cl3
(2) X2O3
(2) X 2O3
(3) X2(SO4)3
(3) X2(SO4)3
(4) XPO4
(4) XPO4
12. ·ñ¤Üæç×Ù çÁâ·¤æ ¥ØS·¤ ãñ, ßã ãñ Ñ
12. Calamine is an ore of :
(1) Aluminium (1) °ðÜéç×çÙØ×
(2) Copper (2) ·¤æòÂÚU
(3) Iron (3) ¥æØÚUÙ
(4) Zinc
(4) çÁ´·¤
Page 21
Page 4 CHEMISTRY : English & Hindi 01
13. Which physical property of dihydrogen is 13. ÇUæ§ãæ§ÇþUæðÁÙ ·ð¤ â´ÎÖü ×ð´ ·¤æñÙ-âæ ÖæñçÌ·¤ »éæ »ÜÌ
wrong ?
ãñ?
(1) Colourless gas
(1) ßæüãèÙ »ñâ
(2) Odourless gas
(3) Tasteless gas (2) »´ÏãèÙ »ñâ
(4) Non-inflammable gas (3) SßæÎãèÙ »ñâ
(4) ¥ßÜÙàæèÜ »ñâ
14. Which of the alkaline earth metal halides
given below is essentially covalent in
nature ? 14. çÙÙçÜç¹Ì ÿææÚUèØ ×ëÎæ ÏæÌé ·ð¤ ãñÜæ§ÇUæð´ ×ð´ âð 緤ⷤæ
(1) MgCl2 SßÖæß ßæSÌß ×ð´ âãâ´ØæðÁ·¤ ãñ?
(2) BeCl2 (1) MgCl2
(3) SrCl2 (2) BeCl2
(4) CaCl 2 (3) SrCl2
(4) CaCl 2
15. Which of the following compounds has a
P2P bond ? 15. çΰ »° Øæñç»·¤æð´ ×ð´ âð P2P Õ´Ï·¤ ç·¤â ×ð´ ãñ?
(1) H 4 P 2O 5
(1) H 4 P 2O 5
(2) H 4 P 2O 6
(2) H 4 P 2O 6
(3) H 4 P 2O 7
(3) H 4 P 2O 7
(4) (HPO3)3
(4) (HPO3)3
16. Chlorine water on standing loses its colour
and forms : 16. ÜæðÚUèÙ ÁÜ ·é¤ÀU â×Ø ·ð¤ Âà¿æÌ÷ ¥ÂÙæ Ú´U» ¹æð ÎðÌæ
(1) HCl only ãñ ¥æñÚU ÕÙæÌæ ãñ Ñ
(2) HOCl and HOCl2 (1) ·ð¤ßÜ HCl
(3) HCl and HOCl (2) HOCl ¥æñÚU HOCl2
(4) HCl and HClO2 (3) HCl ¥æñÚU HOCl
(4) HCl ¥æñÚU HClO2
17. Which of the following statements is
false ?
22 17. çÙÙ ·¤ÍÙæð´ ×ð´ âð »ÜÌ ·¤ÍÙ ¿éçÙØð?
(1) CrO 4 is tetrahedral in shape
22
22 (1) CrO 4 ¿ÌécȤܷ¤èØ ¥æ·¤æÚU ·¤æ ãñÐ
(2) Cr2 O7 has a Cr2O2Cr bond
22
(3) Na2Cr2O7 is a primary standard in (2) Cr2 O7 ×ð´ °·¤ Cr2O2Cr ¥æÕ´Ï ãñÐ
volumetry
(3) ¥æØÌÙè çßàÜð á æ ×ð ´ Na 2Cr 2O 7 °·¤
(4) Na 2 Cr 2 O 7 is less soluble than
K2Cr2O7
ÂýæÍç×·¤ ×æÙ·¤ ãñÐ
(4) Na2Cr2O7 ·¤è çßÜØÌæ K2Cr2O7 âð ·¤×
ãñÐ
13. Which physical property of dihydrogen is 13. ÇUæ§ãæ§ÇþUæðÁÙ ·ð¤ â´ÎÖü ×ð´ ·¤æñÙ-âæ ÖæñçÌ·¤ »éæ »ÜÌ
wrong ?
ãñ?
(1) Colourless gas
(1) ßæüãèÙ »ñâ
(2) Odourless gas
(3) Tasteless gas (2) »´ÏãèÙ »ñâ
(4) Non-inflammable gas (3) SßæÎãèÙ »ñâ
(4) ¥ßÜÙàæèÜ »ñâ
14. Which of the alkaline earth metal halides
given below is essentially covalent in
nature ? 14. çÙÙçÜç¹Ì ÿææÚUèØ ×ëÎæ ÏæÌé ·ð¤ ãñÜæ§ÇUæð´ ×ð´ âð 緤ⷤæ
(1) MgCl2 SßÖæß ßæSÌß ×ð´ âãâ´ØæðÁ·¤ ãñ?
(2) BeCl2 (1) MgCl2
(3) SrCl2 (2) BeCl2
(4) CaCl 2 (3) SrCl2
(4) CaCl 2
15. Which of the following compounds has a
P2P bond ? 15. çΰ »° Øæñç»·¤æð´ ×ð´ âð P2P Õ´Ï·¤ ç·¤â ×ð´ ãñ?
(1) H 4 P 2O 5
(1) H 4 P 2O 5
(2) H 4 P 2O 6
(2) H 4 P 2O 6
(3) H 4 P 2O 7
(3) H 4 P 2O 7
(4) (HPO3)3
(4) (HPO3)3
16. Chlorine water on standing loses its colour
and forms : 16. ÜæðÚUèÙ ÁÜ ·é¤ÀU â×Ø ·ð¤ Âà¿æÌ÷ ¥ÂÙæ Ú´U» ¹æð ÎðÌæ
(1) HCl only ãñ ¥æñÚU ÕÙæÌæ ãñ Ñ
(2) HOCl and HOCl2 (1) ·ð¤ßÜ HCl
(3) HCl and HOCl (2) HOCl ¥æñÚU HOCl2
(4) HCl and HClO2 (3) HCl ¥æñÚU HOCl
(4) HCl ¥æñÚU HClO2
17. Which of the following statements is
false ?
22 17. çÙÙ ·¤ÍÙæð´ ×ð´ âð »ÜÌ ·¤ÍÙ ¿éçÙØð?
(1) CrO 4 is tetrahedral in shape
22
22 (1) CrO 4 ¿ÌécȤܷ¤èØ ¥æ·¤æÚU ·¤æ ãñÐ
(2) Cr2 O7 has a Cr2O2Cr bond
22
(3) Na2Cr2O7 is a primary standard in (2) Cr2 O7 ×ð´ °·¤ Cr2O2Cr ¥æÕ´Ï ãñÐ
volumetry
(3) ¥æØÌÙè çßàÜð á æ ×ð ´ Na 2Cr 2O 7 °·¤
(4) Na 2 Cr 2 O 7 is less soluble than
K2Cr2O7
ÂýæÍç×·¤ ×æÙ·¤ ãñÐ
(4) Na2Cr2O7 ·¤è çßÜØÌæ K2Cr2O7 âð ·¤×
ãñÐ
Page 22
Page 5 CHEMISTRY : English & Hindi 01
18. When concentrated HCl is added to an 18. ÁÕ âæ´çÎýÌ HCl ·¤æð CoCl2 ·ð¤ ÁÜèØ ææðÜ ×ð́ ç×ÜæØæ
aqueous solution of CoCl 2 , its colour
»Øæ, ÌÕ ©â·¤æ Ú´U» ÚUÌæÖ »éÜæÕè âð »æɸæ ÙèÜæ ãæð
changes from reddish pink to deep blue.
Which complex ion gives blue colour in this »ØæÐ §â ¥çÖç·ý¤Øæ ×ð´ ·¤æñÙ âæ â´·é¤Ü ¥æØÙ ÙèÜð
reaction ? Ú´U» ·¤æ ·¤æÚUæ ãñ?
(1) [CoCl6]42 (1) [CoCl6]42
(2) [CoCl6]32 (2) [CoCl6]32
(3) [CoCl4]22 (3) [CoCl4]22
(4) [Co(H2O)6]21 (4) [Co(H2O)6]21
19. Which of the following complex ions has 19. çÙÙçÜç¹Ì â´·é¤Ü ¥æØÙæð´ ×ð´ âð 緤⠥æØÙ ·¤è t2g
electrons that are symmetrically filled in
both t2g and eg orbitals ?
¥æñÚU eg ·¤ÿæ·¤æð´ ×ð´ §ÜðÅþUæòÙ â×ç×Ì M¤Â âð ÖÚðU ãñ´?
(1) [CoF6]32 (1) [CoF6]32
(2) [Co(NH3)6]21 (2) [Co(NH3)6]21
(3) [Mn(CN)6]42 (3) [Mn(CN)6]42
(4) [FeF6]32 (4) [FeF6]32
20. Addition of phosphate fertilisers to water 20. ȤæòSÈð¤ÅU ØéÌ ©ßüÚU·¤æð´ ·ð¤ ç×ÜæÙð âð ÁÜæàæØæð´ ×ð´ Ñ
bodies causes : (1) àæñßæÜæð´ ·¤è ¥ØæçÏ·¤ ßëçh ãæðÌè ãñÐ
(1) enhanced growth of algae
(2) ÁÜ ×ð´ çßÜèÙ ¥æòâèÁÙ ·¤è ×æææ ÕɸÌè ãñÐ
(2) increase in amount of dissolved
oxygen in water (3) ·ñ¤çËâØ× È¤æòSÈð¤ÅU ·¤æ çÙÿæðÂæ ãæðÌæ ãñÐ
(3) deposition of calcium phosphate (4) ×ÀUçÜØæð´ ·¤è Áèß â´Øæ ×ð´ ßëçh ãæðÌè ãñÐ
(4) increase in fish population
21. ·¤æòÜ× - I ×ð´ çΰ »° ·¤æÕüçÙ·¤ Øæñç»·¤æð´ ·¤æð
21. Match the organic compounds in
·¤æòÜ× - II ×ð´ Üñâð´ ÅðUSÅU ·ð¤ ÂçÚUææ×æð´ ·ð¤ âæÍ âé×ðçÜÌ
column - I with the Lassaignes test results
in column - II appropriately : ·¤èçÁ° Ñ
Column - I Column - II Ë×Á¼ - I Ë×Á¼ - II
(A) Aniline (i) Red color with (A) Õ¾ÍÁ; (i) FeCl3 Õ Ç˲ ÁËÁ ¿U
FeCl3 (B) ºÕü¦Í¾ (ii) ÇËÕ̬U½¼ ¾ËªãUËÕ§âÏSÇˬU Õ
(B) Benzene (ii) Violet color with Ç˲ ¦Ë¼Ï¾Í ¿U
Ç°ËÕ̾ Á
sulfonic acid sodium (C) ²Ö½ËÕ½ÏÌ¿U½Ë (iii) ¿U¼ Áͽ FeSO4
nitroprusside
(C) Thiourea (iii) Blue color with hot
ÌÄÁ½¾ Õ Ç˲ ¾ÍÁË ¿U
and acidic solution (1) (A) - (ii) ; (B) - (i) ; (C) - (iii)
of FeSO4 (2) (A) - (iii) ; (B) - (ii) ; (C) - (i)
(3) (A) - (ii) ; (B) - (iii) ; (C) - (i)
(1) (A) - (ii) ; (B) - (i) ; (C) - (iii)
(4) (A) - (iii) ; (B) - (i) ; (C) - (ii)
(2) (A) - (iii) ; (B) - (ii) ; (C) - (i)
(3) (A) - (ii) ; (B) - (iii) ; (C) - (i)
(4) (A) - (iii) ; (B) - (i) ; (C) - (ii)
18. When concentrated HCl is added to an 18. ÁÕ âæ´çÎýÌ HCl ·¤æð CoCl2 ·ð¤ ÁÜèØ ææðÜ ×ð́ ç×ÜæØæ
aqueous solution of CoCl 2 , its colour
»Øæ, ÌÕ ©â·¤æ Ú´U» ÚUÌæÖ »éÜæÕè âð »æɸæ ÙèÜæ ãæð
changes from reddish pink to deep blue.
Which complex ion gives blue colour in this »ØæÐ §â ¥çÖç·ý¤Øæ ×ð´ ·¤æñÙ âæ â´·é¤Ü ¥æØÙ ÙèÜð
reaction ? Ú´U» ·¤æ ·¤æÚUæ ãñ?
(1) [CoCl6]42 (1) [CoCl6]42
(2) [CoCl6]32 (2) [CoCl6]32
(3) [CoCl4]22 (3) [CoCl4]22
(4) [Co(H2O)6]21 (4) [Co(H2O)6]21
19. Which of the following complex ions has 19. çÙÙçÜç¹Ì â´·é¤Ü ¥æØÙæð´ ×ð´ âð 緤⠥æØÙ ·¤è t2g
electrons that are symmetrically filled in
both t2g and eg orbitals ?
¥æñÚU eg ·¤ÿæ·¤æð´ ×ð´ §ÜðÅþUæòÙ â×ç×Ì M¤Â âð ÖÚðU ãñ´?
(1) [CoF6]32 (1) [CoF6]32
(2) [Co(NH3)6]21 (2) [Co(NH3)6]21
(3) [Mn(CN)6]42 (3) [Mn(CN)6]42
(4) [FeF6]32 (4) [FeF6]32
20. Addition of phosphate fertilisers to water 20. ȤæòSÈð¤ÅU ØéÌ ©ßüÚU·¤æð´ ·ð¤ ç×ÜæÙð âð ÁÜæàæØæð´ ×ð´ Ñ
bodies causes : (1) àæñßæÜæð´ ·¤è ¥ØæçÏ·¤ ßëçh ãæðÌè ãñÐ
(1) enhanced growth of algae
(2) ÁÜ ×ð´ çßÜèÙ ¥æòâèÁÙ ·¤è ×æææ ÕɸÌè ãñÐ
(2) increase in amount of dissolved
oxygen in water (3) ·ñ¤çËâØ× È¤æòSÈð¤ÅU ·¤æ çÙÿæðÂæ ãæðÌæ ãñÐ
(3) deposition of calcium phosphate (4) ×ÀUçÜØæð´ ·¤è Áèß â´Øæ ×ð´ ßëçh ãæðÌè ãñÐ
(4) increase in fish population
21. ·¤æòÜ× - I ×ð´ çΰ »° ·¤æÕüçÙ·¤ Øæñç»·¤æð´ ·¤æð
21. Match the organic compounds in
·¤æòÜ× - II ×ð´ Üñâð´ ÅðUSÅU ·ð¤ ÂçÚUææ×æð´ ·ð¤ âæÍ âé×ðçÜÌ
column - I with the Lassaignes test results
in column - II appropriately : ·¤èçÁ° Ñ
Column - I Column - II Ë×Á¼ - I Ë×Á¼ - II
(A) Aniline (i) Red color with (A) Õ¾ÍÁ; (i) FeCl3 Õ Ç˲ ÁËÁ ¿U
FeCl3 (B) ºÕü¦Í¾ (ii) ÇËÕ̬U½¼ ¾ËªãUËÕ§âÏSÇˬU Õ
(B) Benzene (ii) Violet color with Ç˲ ¦Ë¼Ï¾Í ¿U
Ç°ËÕ̾ Á
sulfonic acid sodium (C) ²Ö½ËÕ½ÏÌ¿U½Ë (iii) ¿U¼ Áͽ FeSO4
nitroprusside
(C) Thiourea (iii) Blue color with hot
ÌÄÁ½¾ Õ Ç˲ ¾ÍÁË ¿U
and acidic solution (1) (A) - (ii) ; (B) - (i) ; (C) - (iii)
of FeSO4 (2) (A) - (iii) ; (B) - (ii) ; (C) - (i)
(3) (A) - (ii) ; (B) - (iii) ; (C) - (i)
(1) (A) - (ii) ; (B) - (i) ; (C) - (iii)
(4) (A) - (iii) ; (B) - (i) ; (C) - (ii)
(2) (A) - (iii) ; (B) - (ii) ; (C) - (i)
(3) (A) - (ii) ; (B) - (iii) ; (C) - (i)
(4) (A) - (iii) ; (B) - (i) ; (C) - (ii)
Page 23
Page 6 CHEMISTRY : English & Hindi 01
22. Which of the following pairs of 22. çÙÙçÜç¹Ì ×ð´ âð ·¤æñÙ-âð Øæñç»·¤ Øé× â×êã
compounds are positional isomers ?
â×æßØßè ãñ´?
(1) CH 32C H 22 C H 22 C H 22 C H O
(1) CH32CH22CH22CH22CHO ¥æñÚU
and
(2) and
(2) ¥æñÚU
(3) and
(3) ¥æñÚU
(4) and
(4) ¥æñÚU
23. The number of structural isomers for C6H14
is : 23. C6H14 ·¤è â´ÚU¿Ùæ×·¤ â×æßØçßØæð´ ·¤è â´Øæ ãñ Ñ
(1) 3 (1) 3
(2) 4 (2) 4
(3) 5 (3) 5
(4) 6 (4) 6
22. Which of the following pairs of 22. çÙÙçÜç¹Ì ×ð´ âð ·¤æñÙ-âð Øæñç»·¤ Øé× â×êã
compounds are positional isomers ?
â×æßØßè ãñ´?
(1) CH 32C H 22 C H 22 C H 22 C H O
(1) CH32CH22CH22CH22CHO ¥æñÚU
and
(2) and
(2) ¥æñÚU
(3) and
(3) ¥æñÚU
(4) and
(4) ¥æñÚU
23. The number of structural isomers for C6H14
is : 23. C6H14 ·¤è â´ÚU¿Ùæ×·¤ â×æßØçßØæð´ ·¤è â´Øæ ãñ Ñ
(1) 3 (1) 3
(2) 4 (2) 4
(3) 5 (3) 5
(4) 6 (4) 6
Page 24
Page 7 CHEMISTRY : English & Hindi 01
24. What is the major product expected from 24. çÙÙçÜç¹Ì ¥çÖç·ý¤Øæ ·¤æ Âý×é¹ ©ÂæÎ Øæ ãñ?
the following reaction ?
Áãæ¡ D - ãæ§ÇþUæðÁÙ ·¤æ â×SÍæçÙ·¤ ãñÐ
Where D is an isotope of Hydrogen.
(1)
(1)
(2)
(2)
(3)
(3)
(4)
(4)
25. In the reaction sequence 25. çÙÙçÜç¹Ì ¥çÖç·ý¤Øæ ·ý¤× ×ð´ ©ÂæÎ B ãñ Ñ
OH2 D OH2 D
2 CH 3 CHO → A → B ; the 2 CH 3 CHO → A → B
product B is : (1) CH32CH22CH22CH22OH
(1) CH32CH22CH22CH22OH (2) CH32CH5CH2CHO
(2) CH32CH5CH2CHO
(3)
(3)
(4) CH32CH22CH22CH3
(4) CH32CH22CH22CH3
24. What is the major product expected from 24. çÙÙçÜç¹Ì ¥çÖç·ý¤Øæ ·¤æ Âý×é¹ ©ÂæÎ Øæ ãñ?
the following reaction ?
Áãæ¡ D - ãæ§ÇþUæðÁÙ ·¤æ â×SÍæçÙ·¤ ãñÐ
Where D is an isotope of Hydrogen.
(1)
(1)
(2)
(2)
(3)
(3)
(4)
(4)
25. In the reaction sequence 25. çÙÙçÜç¹Ì ¥çÖç·ý¤Øæ ·ý¤× ×ð´ ©ÂæÎ B ãñ Ñ
OH2 D OH2 D
2 CH 3 CHO → A → B ; the 2 CH 3 CHO → A → B
product B is : (1) CH32CH22CH22CH22OH
(1) CH32CH22CH22CH22OH (2) CH32CH5CH2CHO
(2) CH32CH5CH2CHO
(3)
(3)
(4) CH32CH22CH22CH3
(4) CH32CH22CH22CH3
Page 25
Page 8 CHEMISTRY : English & Hindi 01
26. Which compound exhibits maximum 26. çÙÙçÜç¹Ì ×ð´ âð ·¤æñÙ-âæ Øæñç»·¤ âßæüçÏ·¤ çmÏýéß
dipole moment among the following ?
¥ææêæü ÎàææüÌæ ãñ?
(1)
(1)
(2)
(2)
(3)
(3)
(4)
(4)
27. Which one of the following structures
represents the neoprene polymer ? 27. ÕãéÜ·¤ çÙØæðÂýèÙ ·¤è â´ÚU¿Ùæ çÙÙçÜç¹Ì â´ÚU¿Ùæ¥æð´
×ð´ âð ·¤æñÙ-âè ãñ?
(1)
(1)
(2)
(2)
(3)
(3)
(4)
(4)
26. Which compound exhibits maximum 26. çÙÙçÜç¹Ì ×ð´ âð ·¤æñÙ-âæ Øæñç»·¤ âßæüçÏ·¤ çmÏýéß
dipole moment among the following ?
¥ææêæü ÎàææüÌæ ãñ?
(1)
(1)
(2)
(2)
(3)
(3)
(4)
(4)
27. Which one of the following structures
represents the neoprene polymer ? 27. ÕãéÜ·¤ çÙØæðÂýèÙ ·¤è â´ÚU¿Ùæ çÙÙçÜç¹Ì â´ÚU¿Ùæ¥æð´
×ð´ âð ·¤æñÙ-âè ãñ?
(1)
(1)
(2)
(2)
(3)
(3)
(4)
(4)
Page 26
Page 9 CHEMISTRY : English & Hindi 01
28. Accumulation of which of the following 28. ¥æðÁSßè ÃØæØæ× ·ð¤ ȤÜSßM¤Â, ×æ´âÂðçàæØæð´ ×ð´ ç·¤â
molecules in the muscles occurs as a result
Øæñç»·¤ ·¤æ â´¿ØÙ ãæðÌæ ãñ?
of vigorous exercise ?
(1) Glucose (1) Üê·¤æð$Á
(2) Glycogen (2) Üñ·¤æð$ÁÙ
(3) L-lactic acid (3) L-ÜñçÅU·¤ ¥Ü
(4) Pyruvic acid
(4) ÂñM¤çß·¤ ¥Ü
29. Which artificial sweetener contains
chlorine ? 29. 緤⠷ë¤çæ× ×ÏéÚU·¤ ×ð´ ÜæðÚUèÙ ãñ?
(1) Aspartame (1) °ðSÂæÅðüU×
(2) Saccharin (2) âñ·¤ÚUèÙ
(3) Sucralose
(3) âê·ý¤æÜæðâ
(4) Alitame
(4) °ðçÜÅðU×
30. A pink coloured salt turns blue on heating.
The presence of which cation is most 30. °·¤ »éÜæÕè Üßæ, »ÚU× ·¤ÚUÙð ÂÚU ÙèÜæ ãæð ÁæÌæ ãñÐ
likely ?
Üßæ ×ð´ ç·¤â ÏÙæØÙ ·ð¤ ãæðÙð ·¤è âßæüçÏ·¤ â´ÖæßÙæ
(1) Cu 21 ãñ?
(2) Fe21
(1) Cu 21
(3) Zn21
(2) Fe21
(4) Co21
(3) Zn 21
(4) Co21
-o0o-
-o0o-
28. Accumulation of which of the following 28. ¥æðÁSßè ÃØæØæ× ·ð¤ ȤÜSßM¤Â, ×æ´âÂðçàæØæð´ ×ð´ ç·¤â
molecules in the muscles occurs as a result
Øæñç»·¤ ·¤æ â´¿ØÙ ãæðÌæ ãñ?
of vigorous exercise ?
(1) Glucose (1) Üê·¤æð$Á
(2) Glycogen (2) Üñ·¤æð$ÁÙ
(3) L-lactic acid (3) L-ÜñçÅU·¤ ¥Ü
(4) Pyruvic acid
(4) ÂñM¤çß·¤ ¥Ü
29. Which artificial sweetener contains
chlorine ? 29. 緤⠷ë¤çæ× ×ÏéÚU·¤ ×ð´ ÜæðÚUèÙ ãñ?
(1) Aspartame (1) °ðSÂæÅðüU×
(2) Saccharin (2) âñ·¤ÚUèÙ
(3) Sucralose
(3) âê·ý¤æÜæðâ
(4) Alitame
(4) °ðçÜÅðU×
30. A pink coloured salt turns blue on heating.
The presence of which cation is most 30. °·¤ »éÜæÕè Üßæ, »ÚU× ·¤ÚUÙð ÂÚU ÙèÜæ ãæð ÁæÌæ ãñÐ
likely ?
Üßæ ×ð´ ç·¤â ÏÙæØÙ ·ð¤ ãæðÙð ·¤è âßæüçÏ·¤ â´ÖæßÙæ
(1) Cu 21 ãñ?
(2) Fe21
(1) Cu 21
(3) Zn21
(2) Fe21
(4) Co21
(3) Zn 21
(4) Co21
-o0o-
-o0o-
Page 27
Page 1 MATHEMATICS : English & Hindi 01
1. Let A5{x1, x2, ..., x7} and B5{y1, y2, y3} 1. ×æÙæ A5{x1, x2, ..., x7} ÌÍæ B5{y1, y2, y3}
be two sets containing seven and three
°ðâð Îæð â×éæØ ãñ´ çÁÙ×ð´ ·ý¤×àæÑ âæÌ ÌÍæ ÌèÙ çßçÖóæ
distinct elements respectively. Then the
total number of functions f : A ® B that ¥ßØß ãñ´ ; Ìæð °ðâð ȤÜÙæð´ f : A ® B ·¤è ·é¤Ü
are onto, if there exist exactly three â´Øæ, Áæð ç·¤ ¥æÀUæη¤ ãñ´, ØçÎ A ×ð´ °ðâð ÆUè·¤ ÌèÙ
elements x in A such that f (x)5y2, is equal x ¥ßØß ãñ´ çÁÙ·ð¤ çÜ° f (x)5y2 ãñ, ãñ Ñ
to :
(1) 14 . 7C2
(1) 14 . 7C2
(2) 16 . 7C3
(2) 16 . 7C 3
(3) 12 . 7C2
(3) 12 . 7C 2
(4) 14 . 7C3
(4) 14 . 7C3
2. If z is a non-real complex number, then
2. ØçÎ z °·¤ ¥ßæSÌçß·¤ âç×æ â´Øæ ãñ, Ìæð
Im z 5 Im z 5
the minimum value of is : ·¤æ ØêÙÌ× ×æÙ ãñ Ñ
(Im z ) 5 (Im z )5
(1) 21 (1) 21
(2) 22 (2) 22
(3) 24 (3) 24
(4) 25 (4) 25
3. If the two roots of the equation, 3. ØçÎ â×è·¤ÚUæ
(a21)(x 41x 211)1(a11)(x 21x11) 250 (a21)(x 41x 211)1(a11)(x 21x11) 250
are real and distinct, then the set of all ·ð¤ Îæð ×êÜ ßæSÌçß·¤ ÌÍæ çßçÖóæ ãñ´, Ìæð a ·ð¤ âÖè
values of a is : ×æÙæð´ ·¤æ â×êã ãñ Ñ
1
(1) 2 , 0 1
2 (1) 2 , 0
2
(2) (2:, 22) È (2, :)
(2) (2:, 22) È (2, :)
1 1
(3) 2 , 0 ∪ 0, 1 1
2 2 (3) 2 , 0 ∪ 0,
2 2
1
(4) 0, 1
2 (4) 0,
2
4. If A is a 333 matrix such that ?5. adjA?55,
then ?A? is equal to : 4. ØçÎ A °·¤ °ðâæ 333 ¥æÃØêã ãñ ç·¤ ?5. adjA?55
ãñ, Ìæð ?A? ÕÚUæÕÚU ãñ Ñ
1
(1) 6
5 1
(1) 6
(2) 65 5
(3) 61 (2) 65
(3) 61
1
(4) 6
25 1
(4) 6
25
1. Let A5{x1, x2, ..., x7} and B5{y1, y2, y3} 1. ×æÙæ A5{x1, x2, ..., x7} ÌÍæ B5{y1, y2, y3}
be two sets containing seven and three
°ðâð Îæð â×éæØ ãñ´ çÁÙ×ð´ ·ý¤×àæÑ âæÌ ÌÍæ ÌèÙ çßçÖóæ
distinct elements respectively. Then the
total number of functions f : A ® B that ¥ßØß ãñ´ ; Ìæð °ðâð ȤÜÙæð´ f : A ® B ·¤è ·é¤Ü
are onto, if there exist exactly three â´Øæ, Áæð ç·¤ ¥æÀUæη¤ ãñ´, ØçÎ A ×ð´ °ðâð ÆUè·¤ ÌèÙ
elements x in A such that f (x)5y2, is equal x ¥ßØß ãñ´ çÁÙ·ð¤ çÜ° f (x)5y2 ãñ, ãñ Ñ
to :
(1) 14 . 7C2
(1) 14 . 7C2
(2) 16 . 7C3
(2) 16 . 7C 3
(3) 12 . 7C2
(3) 12 . 7C 2
(4) 14 . 7C3
(4) 14 . 7C3
2. If z is a non-real complex number, then
2. ØçÎ z °·¤ ¥ßæSÌçß·¤ âç×æ â´Øæ ãñ, Ìæð
Im z 5 Im z 5
the minimum value of is : ·¤æ ØêÙÌ× ×æÙ ãñ Ñ
(Im z ) 5 (Im z )5
(1) 21 (1) 21
(2) 22 (2) 22
(3) 24 (3) 24
(4) 25 (4) 25
3. If the two roots of the equation, 3. ØçÎ â×è·¤ÚUæ
(a21)(x 41x 211)1(a11)(x 21x11) 250 (a21)(x 41x 211)1(a11)(x 21x11) 250
are real and distinct, then the set of all ·ð¤ Îæð ×êÜ ßæSÌçß·¤ ÌÍæ çßçÖóæ ãñ´, Ìæð a ·ð¤ âÖè
values of a is : ×æÙæð´ ·¤æ â×êã ãñ Ñ
1
(1) 2 , 0 1
2 (1) 2 , 0
2
(2) (2:, 22) È (2, :)
(2) (2:, 22) È (2, :)
1 1
(3) 2 , 0 ∪ 0, 1 1
2 2 (3) 2 , 0 ∪ 0,
2 2
1
(4) 0, 1
2 (4) 0,
2
4. If A is a 333 matrix such that ?5. adjA?55,
then ?A? is equal to : 4. ØçÎ A °·¤ °ðâæ 333 ¥æÃØêã ãñ ç·¤ ?5. adjA?55
ãñ, Ìæð ?A? ÕÚUæÕÚU ãñ Ñ
1
(1) 6
5 1
(1) 6
(2) 65 5
(3) 61 (2) 65
(3) 61
1
(4) 6
25 1
(4) 6
25
Page 28
Page 2 MATHEMATICS : English & Hindi 01
x 21x x11 x22 x 21x x11 x22
5. If 2 x 213x21 3x 3x23 5 ax212 , 5. ØçÎ 2 x 213x21 3x 3x23 5 ax212
x 212x13 2 x21 2 x21 x 212x13 2 x21 2 x21
then a is equal to : ãñ, Ìæð a ÕÚUæÕÚU ãñ Ñ
(1) 12 (1) 12
(2) 24 (2) 24
(3) 212 (3) 212
(4) 224 (4) 224
6. If in a regular polygon the number of
6. ØçÎ °·¤ çÙØç×Ì ÕãéÖéÁ ·ð¤ çß·¤ææðZ ·¤è â´Øæ 54
diagonals is 54, then the number of sides
of this polygon is : ãñ, Ìæð ÕãéÖéÁ ·ð¤ ÖéÁæ¥æð´ ·¤è â´Øæ ãñ Ñ
(1) 10 (1) 10
(2) 12 (2) 12
(3) 9 (3) 9
(4) 6 (4) 6
7. The term independent of x in the binomial
1 5 2 1 8
expansion of 7. 1 2 1 3 x 2 x 2 ·ð¤ çmÂÎ ÂýâæÚU
x x
1 5 2 1 8 ×ð´ x âð SßÌ´æ ÂÎ ãñ Ñ
1 2 1 3x 2 x 2 is :
x x (1) 400
(1) 400 (2) 496
(2) 496 (3) 2400
(3) 2400 (4) 2496
(4) 2496
8. °·¤ »éææðæÚU æðɸè (G.P.) ·ð¤ ÌèâÚðU ÌÍæ ¿æñÍð ÂÎæð´ ·¤æ
8. The sum of the 3rd and the 4th terms of a Øæð» 60 ãñ ÌÍæ §â·ð¤ ÂýÍ× ÌèÙ ÂÎæð´ ·¤æ »éæÙȤÜ
G.P. is 60 and the product of its first three
1000 ãñÐ ØçÎ §â »éææðæÚU æðÉ¸è ·¤æ ÂýÍ× ÂÎ ÏÙæ×·¤
terms is 1000. If the first term of this G.P.
is positive, then its 7th term is : ãñ, Ìæð §â·¤æ âæÌßæ´ ÂÎ ãñ Ñ
(1) 7290 (1) 7290
(2) 320 (2) 320
(3) 640 (3) 640
(4) 2430 (4) 2430
x 21x x11 x22 x 21x x11 x22
5. If 2 x 213x21 3x 3x23 5 ax212 , 5. ØçÎ 2 x 213x21 3x 3x23 5 ax212
x 212x13 2 x21 2 x21 x 212x13 2 x21 2 x21
then a is equal to : ãñ, Ìæð a ÕÚUæÕÚU ãñ Ñ
(1) 12 (1) 12
(2) 24 (2) 24
(3) 212 (3) 212
(4) 224 (4) 224
6. If in a regular polygon the number of
6. ØçÎ °·¤ çÙØç×Ì ÕãéÖéÁ ·ð¤ çß·¤ææðZ ·¤è â´Øæ 54
diagonals is 54, then the number of sides
of this polygon is : ãñ, Ìæð ÕãéÖéÁ ·ð¤ ÖéÁæ¥æð´ ·¤è â´Øæ ãñ Ñ
(1) 10 (1) 10
(2) 12 (2) 12
(3) 9 (3) 9
(4) 6 (4) 6
7. The term independent of x in the binomial
1 5 2 1 8
expansion of 7. 1 2 1 3 x 2 x 2 ·ð¤ çmÂÎ ÂýâæÚU
x x
1 5 2 1 8 ×ð´ x âð SßÌ´æ ÂÎ ãñ Ñ
1 2 1 3x 2 x 2 is :
x x (1) 400
(1) 400 (2) 496
(2) 496 (3) 2400
(3) 2400 (4) 2496
(4) 2496
8. °·¤ »éææðæÚU æðɸè (G.P.) ·ð¤ ÌèâÚðU ÌÍæ ¿æñÍð ÂÎæð´ ·¤æ
8. The sum of the 3rd and the 4th terms of a Øæð» 60 ãñ ÌÍæ §â·ð¤ ÂýÍ× ÌèÙ ÂÎæð´ ·¤æ »éæÙȤÜ
G.P. is 60 and the product of its first three
1000 ãñÐ ØçÎ §â »éææðæÚU æðÉ¸è ·¤æ ÂýÍ× ÂÎ ÏÙæ×·¤
terms is 1000. If the first term of this G.P.
is positive, then its 7th term is : ãñ, Ìæð §â·¤æ âæÌßæ´ ÂÎ ãñ Ñ
(1) 7290 (1) 7290
(2) 320 (2) 320
(3) 640 (3) 640
(4) 2430 (4) 2430
Page 29
Page 3 MATHEMATICS : English & Hindi 01
5 1 k 5 1 k
9. If S 5 , then k is 9. ØçÎ S 5 ãñ, Ìæð k
n51 n(n11)(n12)(n13) 3 n51 n(n11)(n12)(n13) 3
equal to : ÕÚUæÕÚU ãñ Ñ
55 55
(1) (1)
336 336
17 17
(2) (2)
105 105
1 1
(3) (3)
6 6
19 19
(4) (4)
112 112
10. Let k be a non-zero real number. If
10. ×æÙæ k °·¤ àæêØðÌÚU ßæSÌçß·¤ â´Øæ ãñÐ ØçÎ
(e x 2 1)2
, x ≠ 0 (e x 2 1)2
x x , x ≠ 0
f ( x ) 5 sin log 1 1 x x
k 4 f ( x ) 5 sin log 1 1
k 4
12 , x 50
12 , x 50
is a continuous function, then the value of
k is : °·¤ â´ÌÌ È¤ÜÙ ãñ, Ìæð k ·¤æ ×æÙ ãñ Ñ
(1) 1 (1) 1
(2) 2 (2) 2
(3) 3 (3) 3
(4) 4 (4) 4
11. The equation of a normal to the curve, p
11. x50 ÂÚU ß·ý ¤ sin y 5 x sin 1 y ·ð ¤
p 3
sin y 5 x sin 1 y at x50, is :
3 ¥çÖÜ´Õ ·¤æ â×è·¤ÚUæ ãñ Ñ
(1) 2x 1 3 y 5 0 (1) 2x 1 3 y 5 0
(2) 2y 2 3 x 5 0 (2) 2y 2 3 x 5 0
(3) 2y 1 3 x 5 0 (3) 2y 1 3 x 5 0
(4) 2x 2 3 y 5 0 (4) 2x 2 3 y 5 0
5 1 k 5 1 k
9. If S 5 , then k is 9. ØçÎ S 5 ãñ, Ìæð k
n51 n(n11)(n12)(n13) 3 n51 n(n11)(n12)(n13) 3
equal to : ÕÚUæÕÚU ãñ Ñ
55 55
(1) (1)
336 336
17 17
(2) (2)
105 105
1 1
(3) (3)
6 6
19 19
(4) (4)
112 112
10. Let k be a non-zero real number. If
10. ×æÙæ k °·¤ àæêØðÌÚU ßæSÌçß·¤ â´Øæ ãñÐ ØçÎ
(e x 2 1)2
, x ≠ 0 (e x 2 1)2
x x , x ≠ 0
f ( x ) 5 sin log 1 1 x x
k 4 f ( x ) 5 sin log 1 1
k 4
12 , x 50
12 , x 50
is a continuous function, then the value of
k is : °·¤ â´ÌÌ È¤ÜÙ ãñ, Ìæð k ·¤æ ×æÙ ãñ Ñ
(1) 1 (1) 1
(2) 2 (2) 2
(3) 3 (3) 3
(4) 4 (4) 4
11. The equation of a normal to the curve, p
11. x50 ÂÚU ß·ý ¤ sin y 5 x sin 1 y ·ð ¤
p 3
sin y 5 x sin 1 y at x50, is :
3 ¥çÖÜ´Õ ·¤æ â×è·¤ÚUæ ãñ Ñ
(1) 2x 1 3 y 5 0 (1) 2x 1 3 y 5 0
(2) 2y 2 3 x 5 0 (2) 2y 2 3 x 5 0
(3) 2y 1 3 x 5 0 (3) 2y 1 3 x 5 0
(4) 2x 2 3 y 5 0 (4) 2x 2 3 y 5 0
Page 30
Page 4 MATHEMATICS : English & Hindi 01
12. Let k and K be the minimum and the
(1 1 x )0.6
maximum values of the function 12. ×æÙæ k ÌÍæ K, ȤÜÙ f ( x ) 5 ·ð ¤
0.6 1 1 x 0.6
(1 1 x )
f (x) 5 in [0, 1] respectively, [0, 1] ×ð´ ·ý¤×àæÑ ØêÙÌ× ÌÍæ ¥çÏ·¤Ì× ×æÙ ãñ´, Ìæð
1 1 x 0.6
·ý¤ç×Ì Øé× (k, K) ÕÚUæÕÚU ãñ Ñ
then the ordered pair (k, K) is equal to :
(1) (1, 20.6)
(1) (1, 20.6)
(2) (220.4, 20.6)
(2) (220.4, 20.6)
(3) (220.6, 1)
(3) (220.6, 1)
(4) (220.4, 1)
(4) (220.4, 1)
13. From the top of a 64 metres high tower, a 13. 64 ×èÅUÚU ª¡¤¿è °·¤ ×èÙæÚU ·ð¤ çàæ¹ÚU âð 48 ×è./âð.
stone is thrown upwards vertically with ·¤è »çÌ âð ©ßæüÏÚU ª¤ÂÚU ·¤è çÎàææ ×ð´ °·¤ ÂÍÚU
the velocity of 48 m/s. The greatest height Èð´¤·¤æ »ØæÐ Øã ×æÙÌð ãé° ç·¤ »éL¤ßæ·¤áüæ ßÚUæ
(in metres) attained by the stone, assuming
g532 ×è. / âð . 2 ãñ , ßã ¥çÏ·¤Ì× ª¡ ¤ ¿æ§ü
the value of the gravitational acceleration
g532 m/s2, is : (×èÅUÚUæð´ ×ð´) Áãæ¡ Ì·¤ ÂÍÚU Âã¡é¿Ìæ ãñ, ãñ Ñ
(1) 100 (1) 100
(2) 88 (2) 88
(3) 128 (3) 128
(4) 112 (4) 112
(
log t 1 1 1 t 2 ) dt 5 1 ( g (t))21 C , ØçÎ ∫
(
log t 1 1 1 t 2 ) dt 5 1 ( g (t))21 C
14. If ∫ 2
14.
1 1 t2 2
1 1 t2
where C is a constant, then g(2) is equal ãñ, Áãæ¡ C °·¤ ¥¿ÚU ãñ, Ìæð g(2) ÕÚUæÕÚU ãñ Ñ
to :
(1) 2 log ( 2 1 5 )
(1) 2 log ( 2 1 5 )
(2) log ( 2 1 5 )
(2) log ( 2 1 5 )
1
1 (3) log ( 2 1 5 )
(3) log ( 2 1 5 ) 5
5
1
1 (4) log ( 2 1 5 )
(4) log ( 2 1 5 ) 2
2
12. Let k and K be the minimum and the
(1 1 x )0.6
maximum values of the function 12. ×æÙæ k ÌÍæ K, ȤÜÙ f ( x ) 5 ·ð ¤
0.6 1 1 x 0.6
(1 1 x )
f (x) 5 in [0, 1] respectively, [0, 1] ×ð´ ·ý¤×àæÑ ØêÙÌ× ÌÍæ ¥çÏ·¤Ì× ×æÙ ãñ´, Ìæð
1 1 x 0.6
·ý¤ç×Ì Øé× (k, K) ÕÚUæÕÚU ãñ Ñ
then the ordered pair (k, K) is equal to :
(1) (1, 20.6)
(1) (1, 20.6)
(2) (220.4, 20.6)
(2) (220.4, 20.6)
(3) (220.6, 1)
(3) (220.6, 1)
(4) (220.4, 1)
(4) (220.4, 1)
13. From the top of a 64 metres high tower, a 13. 64 ×èÅUÚU ª¡¤¿è °·¤ ×èÙæÚU ·ð¤ çàæ¹ÚU âð 48 ×è./âð.
stone is thrown upwards vertically with ·¤è »çÌ âð ©ßæüÏÚU ª¤ÂÚU ·¤è çÎàææ ×ð´ °·¤ ÂÍÚU
the velocity of 48 m/s. The greatest height Èð´¤·¤æ »ØæÐ Øã ×æÙÌð ãé° ç·¤ »éL¤ßæ·¤áüæ ßÚUæ
(in metres) attained by the stone, assuming
g532 ×è. / âð . 2 ãñ , ßã ¥çÏ·¤Ì× ª¡ ¤ ¿æ§ü
the value of the gravitational acceleration
g532 m/s2, is : (×èÅUÚUæð´ ×ð´) Áãæ¡ Ì·¤ ÂÍÚU Âã¡é¿Ìæ ãñ, ãñ Ñ
(1) 100 (1) 100
(2) 88 (2) 88
(3) 128 (3) 128
(4) 112 (4) 112
(
log t 1 1 1 t 2 ) dt 5 1 ( g (t))21 C , ØçÎ ∫
(
log t 1 1 1 t 2 ) dt 5 1 ( g (t))21 C
14. If ∫ 2
14.
1 1 t2 2
1 1 t2
where C is a constant, then g(2) is equal ãñ, Áãæ¡ C °·¤ ¥¿ÚU ãñ, Ìæð g(2) ÕÚUæÕÚU ãñ Ñ
to :
(1) 2 log ( 2 1 5 )
(1) 2 log ( 2 1 5 )
(2) log ( 2 1 5 )
(2) log ( 2 1 5 )
1
1 (3) log ( 2 1 5 )
(3) log ( 2 1 5 ) 5
5
1
1 (4) log ( 2 1 5 )
(4) log ( 2 1 5 ) 2
2
Page 31
Page 5 MATHEMATICS : English & Hindi 01
15. Let f : R ® R be a function such that 15. ×æÙæ f : R ® R °·¤ °ðâæ ȤÜÙ ãñ, ç·¤ âÖè x e R
f (22x)5f (21x) and f (42x)5f (41x),
·ð¤ çÜ°, f (22x)5f (21x) ÌÍæ f (42x)5
2
2 50
for all x e R and ∫ f ( x ) dx 5 5 . Then the
f (41x) ãñ ¥æñÚU ∫ f ( x ) dx 5 5 ãñ, Ìæð ∫ f ( x ) dx
0
0 10
50
·¤æ ×æÙ ãñ Ñ
value of ∫ f ( x ) dx is :
10 (1) 80
(1) 80 (2) 100
(2) 100 (3) 125
(3) 125 (4) 200
(4) 200
16. ×æÙæ f : (21, 1) ® R °·¤ â´ÌÌ È¤ÜÙ ãñÐ ØçÎ
16. Let f : (21, 1) ® R be a continuous sin x
3 3
∫ f (t) dt 5 x ãñ, Ìæð f ÕÚUæÕÚU ãñ Ñ
sin x
3 0
2 2
function. If ∫ f (t) dt 5
2
x, then
0
3
(1)
3 2
f is equal to :
2 (2) 3
3 3
(1) (3)
2 2
(2) 3 1
(4)
2
3
(3)
2
17. x5f (y) ¥ß·¤Ü â×è·¤ÚUæ
1
(4) ydx2(x12y2)dy50 ·¤æ ãÜ ãñÐ
2
ØçÎ f (21)51 ãñ, Ìæð f (1) ÕÚUæÕÚU ãñ Ñ
(1) 4
17. The solution of the differential equation
ydx2(x12y2)dy50 is x5f (y). (2) 3
If f (21)51, then f (1) is equal to : (3) 2
(1) 4 (4) 1
(2) 3
(3) 2
(4) 1
15. Let f : R ® R be a function such that 15. ×æÙæ f : R ® R °·¤ °ðâæ ȤÜÙ ãñ, ç·¤ âÖè x e R
f (22x)5f (21x) and f (42x)5f (41x),
·ð¤ çÜ°, f (22x)5f (21x) ÌÍæ f (42x)5
2
2 50
for all x e R and ∫ f ( x ) dx 5 5 . Then the
f (41x) ãñ ¥æñÚU ∫ f ( x ) dx 5 5 ãñ, Ìæð ∫ f ( x ) dx
0
0 10
50
·¤æ ×æÙ ãñ Ñ
value of ∫ f ( x ) dx is :
10 (1) 80
(1) 80 (2) 100
(2) 100 (3) 125
(3) 125 (4) 200
(4) 200
16. ×æÙæ f : (21, 1) ® R °·¤ â´ÌÌ È¤ÜÙ ãñÐ ØçÎ
16. Let f : (21, 1) ® R be a continuous sin x
3 3
∫ f (t) dt 5 x ãñ, Ìæð f ÕÚUæÕÚU ãñ Ñ
sin x
3 0
2 2
function. If ∫ f (t) dt 5
2
x, then
0
3
(1)
3 2
f is equal to :
2 (2) 3
3 3
(1) (3)
2 2
(2) 3 1
(4)
2
3
(3)
2
17. x5f (y) ¥ß·¤Ü â×è·¤ÚUæ
1
(4) ydx2(x12y2)dy50 ·¤æ ãÜ ãñÐ
2
ØçÎ f (21)51 ãñ, Ìæð f (1) ÕÚUæÕÚU ãñ Ñ
(1) 4
17. The solution of the differential equation
ydx2(x12y2)dy50 is x5f (y). (2) 3
If f (21)51, then f (1) is equal to : (3) 2
(1) 4 (4) 1
(2) 3
(3) 2
(4) 1
Page 32
Page 6 MATHEMATICS : English & Hindi 01
18. A straight line L through the point (3, 22) 18. çÕ´Îé (3, 22) âð ãæð·¤ÚU ÁæÙð ßæÜè °·¤ âÚUÜ ÚðU¹æ L,
is inclined at an angle of 608 to the line
ÚUð¹æ 3 x 1 y 5 1 ·ð¤ âæÍ 608 ·¤æ ·¤æðæ ÕÙæÌè
3 x 1 y 5 1 . If L also intersects the
ãñÐ ØçÎ L, x-¥ÿæ ·¤æð Öè ·¤æÅUÌè ãñ, Ìæð L ·¤æ
x-axis, then the equation of L is :
â×è·¤ÚUæ ãñ Ñ
(1) y 1 3 x 1 2 23 3 50
(1) y 1 3 x 1 2 23 3 50
(2) y 2 3 x 1 2 13 3 50
(2) y 2 3 x 1 2 13 3 50
(3) 3 y 2x 1 312 3 50
(3) 3 y 2x 1 312 3 50
(4) 3 y 1x 2 312 3 50
(4) 3 y 1x 2 312 3 50
19. If the incentre of an equilateral triangle is
(1, 1) and the equation of its one side is 19. ØçÎ °·¤ â×Õæãé çæÖéÁ ·¤æ ¥´ÌÑ·ð´¤Îý (1, 1) ãñ ÌÍæ
3x14y1350, then the equation of the §â·¤è °·¤ ÖéÁæ ·¤æ â×è·¤ÚUæ 3x14y1350 ãñ,
circumcircle of this triangle is :
Ìæð §â çæÖéÁ ·ð¤ ÂçÚUßëæ ·¤æ â×è·¤ÚUæ ãñ Ñ
(1) x 21y 222x22y2250
(1) x 21y 222x22y2250
(2) x 21y 2 22x22y21450
(2) x 21y 2 22x22y21450
(3) x 21y 222x22y1250
(3) x 21y 222x22y1250
(4) x 21y 222x22y2750
(4) x 21y 222x22y2750
20. If a circle passing through the point
(21, 0) touches y-axis at (0, 2), then the 20. ØçÎ çÕ´Îé (21, 0) âð ãæð·¤ÚU ÁæÙð ßæÜæ °·¤ ßëæ
length of the chord of the circle along the y-¥ÿæ ·¤æð (0, 2) ÂÚU SÂàæü ·¤ÚUÌæ ãñ, Ìæð x-¥ÿæ ·¤è
x-axis is : çÎàææ ×ð´ ßëæ ·¤è Áèßæ ·¤è Ü´Õæ§ü ãñ Ñ
3
(1) 3
2 (1)
2
5
(2) 5
2 (2)
2
(3) 3
(3) 3
(4) 5
(4) 5
18. A straight line L through the point (3, 22) 18. çÕ´Îé (3, 22) âð ãæð·¤ÚU ÁæÙð ßæÜè °·¤ âÚUÜ ÚðU¹æ L,
is inclined at an angle of 608 to the line
ÚUð¹æ 3 x 1 y 5 1 ·ð¤ âæÍ 608 ·¤æ ·¤æðæ ÕÙæÌè
3 x 1 y 5 1 . If L also intersects the
ãñÐ ØçÎ L, x-¥ÿæ ·¤æð Öè ·¤æÅUÌè ãñ, Ìæð L ·¤æ
x-axis, then the equation of L is :
â×è·¤ÚUæ ãñ Ñ
(1) y 1 3 x 1 2 23 3 50
(1) y 1 3 x 1 2 23 3 50
(2) y 2 3 x 1 2 13 3 50
(2) y 2 3 x 1 2 13 3 50
(3) 3 y 2x 1 312 3 50
(3) 3 y 2x 1 312 3 50
(4) 3 y 1x 2 312 3 50
(4) 3 y 1x 2 312 3 50
19. If the incentre of an equilateral triangle is
(1, 1) and the equation of its one side is 19. ØçÎ °·¤ â×Õæãé çæÖéÁ ·¤æ ¥´ÌÑ·ð´¤Îý (1, 1) ãñ ÌÍæ
3x14y1350, then the equation of the §â·¤è °·¤ ÖéÁæ ·¤æ â×è·¤ÚUæ 3x14y1350 ãñ,
circumcircle of this triangle is :
Ìæð §â çæÖéÁ ·ð¤ ÂçÚUßëæ ·¤æ â×è·¤ÚUæ ãñ Ñ
(1) x 21y 222x22y2250
(1) x 21y 222x22y2250
(2) x 21y 2 22x22y21450
(2) x 21y 2 22x22y21450
(3) x 21y 222x22y1250
(3) x 21y 222x22y1250
(4) x 21y 222x22y2750
(4) x 21y 222x22y2750
20. If a circle passing through the point
(21, 0) touches y-axis at (0, 2), then the 20. ØçÎ çÕ´Îé (21, 0) âð ãæð·¤ÚU ÁæÙð ßæÜæ °·¤ ßëæ
length of the chord of the circle along the y-¥ÿæ ·¤æð (0, 2) ÂÚU SÂàæü ·¤ÚUÌæ ãñ, Ìæð x-¥ÿæ ·¤è
x-axis is : çÎàææ ×ð´ ßëæ ·¤è Áèßæ ·¤è Ü´Õæ§ü ãñ Ñ
3
(1) 3
2 (1)
2
5
(2) 5
2 (2)
2
(3) 3
(3) 3
(4) 5
(4) 5
Page 33
Page 7 MATHEMATICS : English & Hindi 01
21. If the distance between the foci of an ellipse 21. °·¤ Îèæüßëæ ·¤è ÙæçÖØæð´ ·ð¤ Õè¿ ·¤è ÎêÚUè, §â·ð¤
is half the length of its latus rectum, then
ÙæçÖÜ´Õ ·¤è Ü´Õæ§ü ·¤è ¥æÏè ãñ, Ìæð Îèæüßëæ ·¤è
the eccentricity of the ellipse is :
©·ð´¤ÎýÌæ ãñ Ñ
1
(1) 1
2 (1)
2
2 2 21
(2) 2 2 21
2 (2)
2
(3) 2 21
(3) 2 21
2 21
(4) 2 21
2 (4)
2
22. Let PQ be a double ordinate of the
parabola, y 2524x, where P lies in the 22. ×æÙæ PQ ÂÚUßÜØ y2524x ·¤è °·¤ çm·¤æð ç ÅU
second quadrant. If R divides PQ in the (double ordinate) ãñ, ÁÕç·¤ P çmÌèØ ¿ÌéÍæZàæ ×ð´
ratio 2 : 1, then the locus of R is :
ãñÐ ØçÎ R, PQ ·¤æð 2 : 1 ·ð¤ ¥ÙéÂæÌ ×ð´ Õæ´ÅUÌæ ãñ, Ìæð
(1) 9y 2 54x
R ·¤æ çÕ´ÎéÂÍ ãñ Ñ
(2) 9y 2 524x
(1) 9y 2 54x
(3) 3y 2 52x
(2) 9y 2 524x
(4) 3y 2 522x
(3) 3y 2 52x
(4) 3y 2 522x
23. The shortest distance between the z-axis
and the line
x1y12z235052x13y14z24, is : 23. ÚðU¹æ x1y12z235052x13y14z24 ÌÍæ
(1) 1 z-¥ÿæ ·ð¤ Õè¿ ·¤è ØêÙÌ× ÎêÚUè ãñ Ñ
(2) 2 (1) 1
(3) 3 (2) 2
(4) 4 (3) 3
(4) 4
24. A plane containing the point (3, 2, 0) and
x 21 y 22 z 23 24. °·¤ â×ÌÜ çÁâ ÂÚU çÕ´Îé (3, 2, 0) ÌÍæ ÚðU¹æ
the line 5 5 also
1 5 4 x 21 y 22 z 23
contains the point : 5 5 çSÍÌ ãñ´, ÂÚU çÙÙ çÕ´Îé
1 5 4
(1) (0, 23, 1) Öè çSÍÌ ãñ Ñ
(2) (0, 7, 10) (1) (0, 23, 1)
(3) (0, 7, 210) (2) (0, 7, 10)
(4) (0, 3, 1) (3) (0, 7, 210)
(4) (0, 3, 1)
21. If the distance between the foci of an ellipse 21. °·¤ Îèæüßëæ ·¤è ÙæçÖØæð´ ·ð¤ Õè¿ ·¤è ÎêÚUè, §â·ð¤
is half the length of its latus rectum, then
ÙæçÖÜ´Õ ·¤è Ü´Õæ§ü ·¤è ¥æÏè ãñ, Ìæð Îèæüßëæ ·¤è
the eccentricity of the ellipse is :
©·ð´¤ÎýÌæ ãñ Ñ
1
(1) 1
2 (1)
2
2 2 21
(2) 2 2 21
2 (2)
2
(3) 2 21
(3) 2 21
2 21
(4) 2 21
2 (4)
2
22. Let PQ be a double ordinate of the
parabola, y 2524x, where P lies in the 22. ×æÙæ PQ ÂÚUßÜØ y2524x ·¤è °·¤ çm·¤æð ç ÅU
second quadrant. If R divides PQ in the (double ordinate) ãñ, ÁÕç·¤ P çmÌèØ ¿ÌéÍæZàæ ×ð´
ratio 2 : 1, then the locus of R is :
ãñÐ ØçÎ R, PQ ·¤æð 2 : 1 ·ð¤ ¥ÙéÂæÌ ×ð´ Õæ´ÅUÌæ ãñ, Ìæð
(1) 9y 2 54x
R ·¤æ çÕ´ÎéÂÍ ãñ Ñ
(2) 9y 2 524x
(1) 9y 2 54x
(3) 3y 2 52x
(2) 9y 2 524x
(4) 3y 2 522x
(3) 3y 2 52x
(4) 3y 2 522x
23. The shortest distance between the z-axis
and the line
x1y12z235052x13y14z24, is : 23. ÚðU¹æ x1y12z235052x13y14z24 ÌÍæ
(1) 1 z-¥ÿæ ·ð¤ Õè¿ ·¤è ØêÙÌ× ÎêÚUè ãñ Ñ
(2) 2 (1) 1
(3) 3 (2) 2
(4) 4 (3) 3
(4) 4
24. A plane containing the point (3, 2, 0) and
x 21 y 22 z 23 24. °·¤ â×ÌÜ çÁâ ÂÚU çÕ´Îé (3, 2, 0) ÌÍæ ÚðU¹æ
the line 5 5 also
1 5 4 x 21 y 22 z 23
contains the point : 5 5 çSÍÌ ãñ´, ÂÚU çÙÙ çÕ´Îé
1 5 4
(1) (0, 23, 1) Öè çSÍÌ ãñ Ñ
(2) (0, 7, 10) (1) (0, 23, 1)
(3) (0, 7, 210) (2) (0, 7, 10)
(4) (0, 3, 1) (3) (0, 7, 210)
(4) (0, 3, 1)
Page 34
Page 8 MATHEMATICS : English & Hindi 01
25. In a parallelogram ABCD, 5a, 25. °·¤ â×æ´ÌÚU ¿ÌéÖéüÁ ABCD ×ð´, 5a, 5b
5b and 5c, then has the ÌÍæ 5c ãñ, Ìæð ·¤æ ×æÙ ãñ Ñ
value :
(1)
1
( 2 2
a 2b 1c 2
) (1)
1
2
( a2 2 b2 1 c2 )
2
(2)
1
(a 1 b 2 c )
2 2 2 (2)
1
4
( a2 1 b2 2 c2 )
4
(3)
1
( 2 2
b 1c 2a 2
) (3)
1
3
( b2 1 c2 2 a2 )
3
(4)
1
(a 1 b 1 c )
2 2 2 (4)
1
2
( a2 1 b2 1 c2 )
2
26. If the lengths of the sides of a triangle are
26. °·¤ ¥ÙçÖÙÌ Âæâð ·¤æð ÌèÙ ÕæÚU Èð´¤·¤ ·¤ÚU °·¤ çæÖéÁ
decided by the three throws of a single fair ·¤è ÖéÁæ¥æð´ ·¤è Ü´Õæ§Øæ¡ çÙÏæüçÚUÌ ·¤è ÁæÌè ãñ, Ìæð
die, then the probability that the triangle çæÖéÁ ·ð¤ ¥çÏ·¤Ì× ÿæðæÈ¤Ü ·ð¤ ãæðÙð ·¤è ÂýæçØ·¤Ìæ,
is of maximum area given that it is an ÁÕ ç·¤ çÎØæ ãñ ç·¤ çæÖéÁ â×çmÕæãé ãñ, ãñ Ñ
isosceles triangle, is :
1
1 (1)
(1) 26
26
1
1 (2)
(2) 27
27
1
1 (3)
(3) 21
21
1
1 (4)
(4) 15
15
27. If the mean and the variance of a binomial
27. ØçÎ °·¤ çmÂÎ ¿ÚU X ·ð¤ ×æØ ÌÍæ ÂýâÚUæ ·ý¤×àæÑ 2
variate X are 2 and 1 respectively, then the ÌÍæ 1 ãñ´, Ìæð X ·¤æ ×æÙ 1 Øæ §ââð ¥çÏ·¤ ãæðÙð ·¤è
probability that X takes a value greater ÂýæçØ·¤Ìæ ãñ Ñ
than or equal to one is :
1
1 (1)
(1) 16
16
9
9 (2)
(2) 16
16
3
3 (3)
(3) 4
4
15
15 (4)
(4) 16
16
25. In a parallelogram ABCD, 5a, 25. °·¤ â×æ´ÌÚU ¿ÌéÖéüÁ ABCD ×ð´, 5a, 5b
5b and 5c, then has the ÌÍæ 5c ãñ, Ìæð ·¤æ ×æÙ ãñ Ñ
value :
(1)
1
( 2 2
a 2b 1c 2
) (1)
1
2
( a2 2 b2 1 c2 )
2
(2)
1
(a 1 b 2 c )
2 2 2 (2)
1
4
( a2 1 b2 2 c2 )
4
(3)
1
( 2 2
b 1c 2a 2
) (3)
1
3
( b2 1 c2 2 a2 )
3
(4)
1
(a 1 b 1 c )
2 2 2 (4)
1
2
( a2 1 b2 1 c2 )
2
26. If the lengths of the sides of a triangle are
26. °·¤ ¥ÙçÖÙÌ Âæâð ·¤æð ÌèÙ ÕæÚU Èð´¤·¤ ·¤ÚU °·¤ çæÖéÁ
decided by the three throws of a single fair ·¤è ÖéÁæ¥æð´ ·¤è Ü´Õæ§Øæ¡ çÙÏæüçÚUÌ ·¤è ÁæÌè ãñ, Ìæð
die, then the probability that the triangle çæÖéÁ ·ð¤ ¥çÏ·¤Ì× ÿæðæÈ¤Ü ·ð¤ ãæðÙð ·¤è ÂýæçØ·¤Ìæ,
is of maximum area given that it is an ÁÕ ç·¤ çÎØæ ãñ ç·¤ çæÖéÁ â×çmÕæãé ãñ, ãñ Ñ
isosceles triangle, is :
1
1 (1)
(1) 26
26
1
1 (2)
(2) 27
27
1
1 (3)
(3) 21
21
1
1 (4)
(4) 15
15
27. If the mean and the variance of a binomial
27. ØçÎ °·¤ çmÂÎ ¿ÚU X ·ð¤ ×æØ ÌÍæ ÂýâÚUæ ·ý¤×àæÑ 2
variate X are 2 and 1 respectively, then the ÌÍæ 1 ãñ´, Ìæð X ·¤æ ×æÙ 1 Øæ §ââð ¥çÏ·¤ ãæðÙð ·¤è
probability that X takes a value greater ÂýæçØ·¤Ìæ ãñ Ñ
than or equal to one is :
1
1 (1)
(1) 16
16
9
9 (2)
(2) 16
16
3
3 (3)
(3) 4
4
15
15 (4)
(4) 16
16
Page 35
Page 9 MATHEMATICS : English & Hindi 01
3 1 3
28. If cosa 1 cosb 5 and sin a 1 sinb 5 28. ØçÎ cosa 1 cosb 5 ÌÍæ
2 2 2
and u is the arithmetic mean of a and b, 1
then sin2u1cos2u is equal to : sin a 1 sinb 5 ãñ´, ÌÍæ a ÌÍæ b ·¤æ â×æ´ÌÚU
2
3 ×æØ u ãñ, Ìæð sin2u1cos2u ÕÚUæÕÚU ãñ Ñ
(1)
5
3
4 (1)
5
(2)
5
4
7 (2)
5
(3)
5
7
8 (3)
5
(4)
5
8
(4)
5
29. Let 10 vertical poles standing at equal
distances on a straight line, subtend the
same angle of elevation a at a point O on 29. ×æÙæ °·¤ âÚUÜ ÚðU¹æ ÂÚU â×æÙ ÎêçÚUØæð´ ÂÚU ¹Ç¸ð 10
this line and all the poles are on the same ©ßæüÏÚU ¹´Öð §â âÚUÜ ÚðU¹æ ·ð¤ °·¤ çÕ´Îé O ÂÚU
side of O. If the height of the longest pole
is h and the distance of the foot of the
â×æÙ ©óæØÙ ·¤æðæ a ÕÙæÌð ãñ´, ÁÕç·¤ âÖè ¹´Öð O
smallest pole from O is a ; then the ·ð¤ °·¤ ãè ¥æðÚU çSÍÌ ãñ´Ð ØçÎ âÕâð ÕǸ𠹴Öð ·¤è
distance between two consecutive poles, ª¡¤¿æ§ü h ãñ ÌÍæ âÕâð ÀUæðÅðU ¹´Öð ·ð¤ ÂæÎ ·¤è O âð
is : ÎêÚUè a ãñ ; Ìæð Îæð ·ý¤×æ»Ì ¹´Öæð´ ·ð¤ Õè¿ ·¤è ÎêÚUè ãñ Ñ
h sin a 1 a cosa
(1) h sin a 1 a cosa
9 sin a (1)
9 sin a
h cosa 2 a sin a
(2) h cosa 2 a sin a
9 cosa (2)
9 cosa
(3) h cosa 2 a sin a
(3) h cosa 2 a sin a
9 sin a
9 sin a
h sin a 1 a cosa
(4) h sin a 1 a cosa
9 cosa (4)
9 cosa
3 1 3
28. If cosa 1 cosb 5 and sin a 1 sinb 5 28. ØçÎ cosa 1 cosb 5 ÌÍæ
2 2 2
and u is the arithmetic mean of a and b, 1
then sin2u1cos2u is equal to : sin a 1 sinb 5 ãñ´, ÌÍæ a ÌÍæ b ·¤æ â×æ´ÌÚU
2
3 ×æØ u ãñ, Ìæð sin2u1cos2u ÕÚUæÕÚU ãñ Ñ
(1)
5
3
4 (1)
5
(2)
5
4
7 (2)
5
(3)
5
7
8 (3)
5
(4)
5
8
(4)
5
29. Let 10 vertical poles standing at equal
distances on a straight line, subtend the
same angle of elevation a at a point O on 29. ×æÙæ °·¤ âÚUÜ ÚðU¹æ ÂÚU â×æÙ ÎêçÚUØæð´ ÂÚU ¹Ç¸ð 10
this line and all the poles are on the same ©ßæüÏÚU ¹´Öð §â âÚUÜ ÚðU¹æ ·ð¤ °·¤ çÕ´Îé O ÂÚU
side of O. If the height of the longest pole
is h and the distance of the foot of the
â×æÙ ©óæØÙ ·¤æðæ a ÕÙæÌð ãñ´, ÁÕç·¤ âÖè ¹´Öð O
smallest pole from O is a ; then the ·ð¤ °·¤ ãè ¥æðÚU çSÍÌ ãñ´Ð ØçÎ âÕâð ÕǸ𠹴Öð ·¤è
distance between two consecutive poles, ª¡¤¿æ§ü h ãñ ÌÍæ âÕâð ÀUæðÅðU ¹´Öð ·ð¤ ÂæÎ ·¤è O âð
is : ÎêÚUè a ãñ ; Ìæð Îæð ·ý¤×æ»Ì ¹´Öæð´ ·ð¤ Õè¿ ·¤è ÎêÚUè ãñ Ñ
h sin a 1 a cosa
(1) h sin a 1 a cosa
9 sin a (1)
9 sin a
h cosa 2 a sin a
(2) h cosa 2 a sin a
9 cosa (2)
9 cosa
(3) h cosa 2 a sin a
(3) h cosa 2 a sin a
9 sin a
9 sin a
h sin a 1 a cosa
(4) h sin a 1 a cosa
9 cosa (4)
9 cosa
Page 36
Page 10 MATHEMATICS : English & Hindi 01
30. Consider the following statements : 30. çÙÙ ·¤ÍÙæð´ ÂÚU çß¿æÚU ·¤èçÁ° Ñ
P : Suman is brilliant.
P : âé×Ù ÂýçÌÖæàææÜè ãñÐ
Q : Suman is rich.
Q : âé×Ù ¥×èÚU ãñÐ
R : Suman is honest.
The negation of the statement, R : âé×Ù §ü×æÙÎæÚU ãñÐ
Suman is brilliant and dishonest if and ·¤ÍÙ ÒÒâé×Ù ÂýçÌÖæàææÜè ÌÍæ Õð§ü×æÙ ãñ ØçÎ ¥æñÚU
only if Suman is rich can be equivalently ·ð¤ßÜ ØçÎ âé×Ù ¥×èÚU ãñÓÓ ·¤æ çÙáðÏ çÙÙ Âý·¤æÚU âð
expressed as :
ÃØÌ ç·¤Øæ Áæ â·¤Ìæ ãñ Ñ
(1) ~Q«~PÙR
(1) ~Q«~PÙR
(2) ~Q«~PÚR
(2) ~Q«~PÚR
(3) ~Q«PÚ~R
(3) ~Q«PÚ~R
(4) ~Q«PÙ~R
(4) ~Q«PÙ~R
-o0o-
-o0o-
30. Consider the following statements : 30. çÙÙ ·¤ÍÙæð´ ÂÚU çß¿æÚU ·¤èçÁ° Ñ
P : Suman is brilliant.
P : âé×Ù ÂýçÌÖæàææÜè ãñÐ
Q : Suman is rich.
Q : âé×Ù ¥×èÚU ãñÐ
R : Suman is honest.
The negation of the statement, R : âé×Ù §ü×æÙÎæÚU ãñÐ
Suman is brilliant and dishonest if and ·¤ÍÙ ÒÒâé×Ù ÂýçÌÖæàææÜè ÌÍæ Õð§ü×æÙ ãñ ØçÎ ¥æñÚU
only if Suman is rich can be equivalently ·ð¤ßÜ ØçÎ âé×Ù ¥×èÚU ãñÓÓ ·¤æ çÙáðÏ çÙÙ Âý·¤æÚU âð
expressed as :
ÃØÌ ç·¤Øæ Áæ â·¤Ìæ ãñ Ñ
(1) ~Q«~PÙR
(1) ~Q«~PÙR
(2) ~Q«~PÚR
(2) ~Q«~PÚR
(3) ~Q«PÚ~R
(3) ~Q«PÚ~R
(4) ~Q«PÙ~R
(4) ~Q«PÙ~R
-o0o-
-o0o-
Page 37
Answer Key
Question No. Answer Key Question No. Answer Key Question No. Answer Key
Q1 3 Q31 3 Q61 4
Q2 3 Q32 3 Q62 3
Q3 2 Q33 3 Q63 3
Q4 4 Q34 2 Q64 1
Q5 3 Q35 3 Q65 2
Q6 3 Q36 2 Q66 2
Q7 2 Q37 3 Q67 1
Q8 3 Q38 3 Q68 2
Q9 1 Q39 3 Q69 1
Q10 3 Q40 1 Q70 3
Q11 3 Q41 1 Q71 1
Q12 2 Q42 4 Q72 4
Q13 1 Q43 4 Q73 1
Q14 2 Q44 2 Q74 2
Q15 4 Q45 2 Q75 2
Q16 1 Q46 3 Q76 2
Q17 3 Q47 4 Q77 2
Q18 3 Q48 3 Q78 2
Q19 4 Q49 4 Q79 2
Q20 1 Q50 1 Q80 3
Q21 1 Q51 2 Q81 3
Q22 4 Q52 3 Q82 2
Q23 2 Q53 3 Q83 2
Q24 2 Q54 2 Q84 2
Q25 2 Q55 2 Q85 1
Q26 3 Q56 2 Q86 2
Q27 2 Q57 1 Q87 4
Q28 2 Q58 3 Q88 3
Q29 2 Q59 3 Q89 3
Q30 4 Q60 4 Q90 4
Question No. Answer Key Question No. Answer Key Question No. Answer Key
Q1 3 Q31 3 Q61 4
Q2 3 Q32 3 Q62 3
Q3 2 Q33 3 Q63 3
Q4 4 Q34 2 Q64 1
Q5 3 Q35 3 Q65 2
Q6 3 Q36 2 Q66 2
Q7 2 Q37 3 Q67 1
Q8 3 Q38 3 Q68 2
Q9 1 Q39 3 Q69 1
Q10 3 Q40 1 Q70 3
Q11 3 Q41 1 Q71 1
Q12 2 Q42 4 Q72 4
Q13 1 Q43 4 Q73 1
Q14 2 Q44 2 Q74 2
Q15 4 Q45 2 Q75 2
Q16 1 Q46 3 Q76 2
Q17 3 Q47 4 Q77 2
Q18 3 Q48 3 Q78 2
Q19 4 Q49 4 Q79 2
Q20 1 Q50 1 Q80 3
Q21 1 Q51 2 Q81 3
Q22 4 Q52 3 Q82 2
Q23 2 Q53 3 Q83 2
Q24 2 Q54 2 Q84 2
Q25 2 Q55 2 Q85 1
Q26 3 Q56 2 Q86 2
Q27 2 Q57 1 Q87 4
Q28 2 Q58 3 Q88 3
Q29 2 Q59 3 Q89 3
Q30 4 Q60 4 Q90 4
Document Details
| Board / Org | NTA |
| Exam | JEE Main |
| Type | Question Paper |
| Pages | 37 |
| Language | english |
| Updated | 30 Apr 2026 |