Page 1
Government of Karnataka
Karnataka Secondary Education Examination Board
Question Papers
Page 2
£ÉÆÃAzÀt ¸ÀASÉå :
Registration No. :
X1 – 2025
«µÀAiÀÄ ¸ÀAPÉÃvÀ /
33 (NS)
Subject Code
¨sËvÀ±Á¸ÀÛç / PHYSICS
(Kannada and English Versions)
[¸ÀªÀÄAiÀÄ: 3 UÀAmÉUÀ¼ÀÄ] [MlÄÖ ¥Àæ±ÉßUÀ¼À ¸ÀASÉå : 45] [UÀjµÀ× CAPÀUÀ¼ÀÄ : 70]
[Time : 3 Hours] [Total No. of questions : 45] [Max. Marks : 70]
(Kannada Version)
¸ÀÆZÀ£ÉUÀ¼ÀÄ : 1. ¨sÁUÀ-J ¤AzÀ ¨sÁUÀ-r ªÀgÉV£À J¯èÁ ¨sÁUÀUÀ¼ÀÄ
PÀqÁØAiÀĪÁVgÀÄvÀÛªÉ. ¨sÁUÀ-E zÀ馅 «PÀ®ZÉÃvÀ£À
«zÁåyðUÀ½UÉ ¹Ã«ÄvÀªÁVgÀÄvÀÛzÉ.
2. ¨sÁUÀ-J zÀ°è£À ¥Àæ±ÉßUÀ½UÉ ¥ÀæxÀªÀĪÁV §gÉzÀ GvÀÛgÀªÀ£ÀÄß
ªÀiÁvÀæ ªÀiË®åªÀiÁ¥À£ÀPÉÌ ¥ÀjUÀt¸À¯ÁUÀĪÀÅzÀÄ.
3. CªÀ±åÀ «gÀĪÀ PÀqÉ GvÀÛgU
À ¼
À °
À è ¸ÀA§A¢üvÀ avÀæ / gÉÃSÁavÀæ /
ªÀÄAqÀ® §gÉAiÀÄ¢zÀݰè AiÀiÁªÀÅzÉà CAPÀUÀ¼À£ÀÄß
¤ÃqÀ¯ÁUÀĪÀÅ¢®è.
4. ¸ÁATåPÀ ¯ÉPÀÌUÀ¼À£ÀÄß ¸ÀA§A¢üvÀ ¸ÀÆvÀæzÀ ¸ÀºÁAiÀÄ«®èzÉÃ
©r¹zÀݰè AiÀiÁªÀÅzÉà CAPÀUÀ¼À£ÀÄß PÉÆqÀ¯ÁUÀĪÀÅ¢®è.
P.T.O.
Page 3
33 (NS) -2-
¨sÁUÀ - J
I. F PɼÀUÉ PÉÆnÖgÀĪÀ J¯èÁ ¥Àæ±ÉßUÀ½UÉ £Á®ÄÌ DAiÉÄÌUÀ¼À°è ¸ÀÆPÀÛªÁzÀÄzÀ£ÀÄß Dj¹
§gɬÄj. (15 × 1 = 15)
1) q1 JA§ MAzÀÄ ©AzÀÄ DªÉñÀªÀÅ q 2 JA§ ©AzÀÄ DªÉñÀ¢AzÀ ¹ÜgÀ
zÀÆgÀzÀ°èj¹zÁUÀ F JA§ §®ªÀ£ÀÄß q2 ªÉÄÃ¯É ¥ÀæAiÉÆÃV¸ÀÄvÀÛzÉ.
q3 JA§ E£ÉÆßAzÀÄ ©AzÀÄ DªÉñÀªÀ£ÀÄß q2 §½ vÀAzÀgÉ, q2 ªÉÄïÉ
q1 ¥ÀæAiÉÆÃV¸ÀĪÀ §®ªÀÅ :
a) ºÉZÁÑUÀÄvÀÛzÉ
b) PÀrªÉÄAiÀiÁUÀÄvÀÛzÉ
c) ºÉZÁÑUÀ§ºÀÄzÀÄ CxÀªÁ PÀrªÉÄAiÀiÁUÀ§ºÀÄzÀÄ
d) §zÀ¯ÁUÀĪÀÅ¢®è
2) MAzÀÄ ©AzÀÄ DªÉñÀzÀ ¸ÀªÀÄ «¨sÀªÀ ªÉÄïÉä ÊUÀ¼ÀÄ ———————
DPÁgÀªÀ£ÀÄß ºÉÆA¢gÀÄvÀÛªÉ.
a) UÉÆÃ½ÃAiÀÄ b) ¸ÀªÀÄvÀ®
c) ¹°AqÀgï d) ±ÀAR
3) MAzÀÄ ¯ÉÆÃºÀzÀ vÀAwAiÀÄ gÉÆÃzsÀvÉAiÀÄÄ F PɼÀPÀAqÀ AiÀiÁªÀ CA±ÀzÀ
ªÉÄÃ¯É CªÀ®A©vÀªÁVzÉ?
a) vÀAwAiÀÄ CqÀØ PÉÆAiÀÄÝ «¹ÛÃtð
b) vÀAwAiÀÄ GzÀÝ
c) vÀAwAiÀÄ ¥ÀzÁxÀðzÀ ®PëÀt
d) vÀAwAiÀÄ UÁvÀæ
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-3- 33 (NS)
4) PɼÀV£À PÉÆÃµÀÖPÀzÀ°è ««zsÀ «zÀÄåvÀàçªÁºÀ ¹ÜwUÀ½AzÀ GAmÁUÀĪÀ
PÁAvÀPÉëÃvÀæUÀ¼À£ÀÄß ¥ÀnÖ ªÀiÁqÀ¯ÁVzÉ. ¥ÀnÖ - I «zÀÄåvÀàçªÁºÀ ¹ÜwUÀ¼À£ÀÆß
ºÁUÀÆ ¥ÀnÖ - II PÁAvÀPÉëÃvÀæzÀ UÀtÂvÉÆÃQÛUÀ¼À£ÀÆß vÉÆÃj¸ÀÄwÛªÉ.
¸ÀAPÉÃvÀUÀ½UÉ ¸ÁªÀiÁ£ÀåªÁzÀ CxÀðUÀ½ªÉ.
¥ÀnÖ - I ¥ÀnÖ - II
i) C£ÀAvÀ £ÉÃgÀ «zÀÄåvïªÁºÀPÀ p) B = μ0nI
vÀAw¬ÄAzÀ r zÀÆgÀzÀ°è
μ 0I
ii) r wædå«gÀĪÀ ªÀÈvÁÛPÁgÀzÀ q) B=
2r
«zÀÄåvÀàçªÁ»vÀ PÀÄtÂPÉAiÀÄ
PÉÃAzÀæzÀ°è
μ 0I
iii) «zÀÄåvÀàçªÁ»vÀ ¸ÉƯɣÁAiÀiïØ£À r) B=
2π r
ªÀÄzsÀåzÀ°è
¥ÀnÖ - I gÀ°è£À «zÀÄåvÀàçªÁºÀ ¹ÜwUÀ¼ÀÄ GvÀàwÛUÉÆ½¸ÀĪÀ PÁAvÀPÉëÃvÀæUÀ¼À£ÀÄß
¥ÀnÖ - II gÀ eÉÆvÉUÉ ºÉÆA¢¹.
a) (i) – (p), (ii) – (q), (iii) – (r)
b) (i) – (r), (ii) – (q), (iii) – (p)
c) (i) – (r), (ii) – (p), (iii) – (q)
d) (i) – (q), (ii) – (r), (iii) – (p)
5) `AiÀiÁªÀÅzÉà ªÀÄÄaÑzÀ ªÉÄïÉä Ê ªÀÄÆ®PÀ ºÀjAiÀÄĪÀ ¤ªÀé¼À PÁAwÃAiÀÄ
C©üªÁºÀªÀÅ ¸ÉÆ£ÉßAiÀiÁVgÀÄvÀÛzÉ’. F ¤AiÀĪÀĪÀ£ÀÄß _____________
JAzÀÄ PÀgÉAiÀįÁUÀÄvÀÛzÉ.
a) ¸ÁÜ¬Ä «zÀÄåvï«eÕÁ£ÀzÀ°è£À UÁ¸ï£À ¤AiÀĪÀÄ
b) PÁAwÃAiÀÄvÉAiÀÄ UÁ¸ï£À ¤AiÀĪÀÄ
c) DA¦AiÀÄgï£À ªÀÈwÛÃAiÀÄ ¤AiÀĪÀÄ
d) ¥sÁågÀqÉAiÀÄ «zÀÄåvïPÁAwÃAiÀÄ ¥ÉæÃgÀuÉAiÀÄ ¤AiÀĪÀÄ
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33 (NS) -4-
6) PɼÀV£À F JgÀqÀÄ ºÉýPÉUÀ¼À£ÀÄß UÀªÀĤ¹ :
ºÉýPÉ 1 : J.¹. «zÀÄåvïd£ÀPÀªÀÅ «zÀÄåvïPÁAwÃAiÀÄ ¥ÉæÃgÀuÉ vÀvÀézÀ ¥ÀæPÁgÀ
PÁAiÀÄð¤ªÀð»¸ÀÄvÀÛzÉ.
ºÉýPÉ 2 : J.¹. «zÀÄåvïd£ÀPÀzÀ°è ¸ÀÄgÀĽAiÀÄÄ KPÀgÀÆ¥ÀzÀ PÁAvÀPÉëÃvÀæzÀ°è
ZÀQæÃAiÀÄ ZÀ®£ÉAiÀİègÀĪÀÅzÀjAzÀ PÁAwÃAiÀÄ C©üªÁºÀªÀÅ
§zÀ¯ÁV ¸ÀÄgÀĽAiÀÄ°è «zÀÄåvïZÁ®PÀ §®ªÀÅ
¥ÉæÃjvÀªÁUÀÄvÀÛzÉ.
ªÉÄð£À JgÀqÀÄ ºÉýPÉUÀ¼À°è :
a) JgÀqÀÆ ºÉýPÉUÀ¼ÀÄ ¸ÀjAiÀiÁVªÉ
b) JgÀqÀÆ ºÉýPÉUÀ¼ÀÄ vÀ¥ÁàVªÉ
c) ºÉýPÉ-1 ¸ÀjAiÀiÁVzÉ ªÀÄvÀÄÛ ºÉýPÉ-2 vÀ¥ÁàVzÉ
d) ºÉýPÉ-1 vÀ¥ÁàVzÉ ªÀÄvÀÄÛ ºÉýPÉ-2 ¸ÀjAiÀiÁVzÉ
7) MAzÀÄ ¥ÀAiÀiÁðAiÀÄPÀ «zÀÄåvÀàçªÁºÀ ªÀÄAqÀ®zÀ°è «¨sÀªÀvÉ ªÀÄvÀÄÛ
«zÀÄåvÀàçªÁºÀUÀ¼ÀÄ ¸ÀªÀÄAiÀÄzÀ eÉÆvÉUÉ §zÀ¯ÁUÀÄwÛgÀĪÀÅzÀ£ÀÄß PɼÀV£À avÀæzÀ°è
vÉÆÃj¸À¯ÁVzÉ.
ªÀÄAqÀ®ªÀÅ J.¹. DPÀgÀzÀ eÉÆvÉUÉ :
a) gÉÆÃzsÀ ªÀÄvÀÄÛ zsÁgÀPÀvÉAiÀÄ ¸ÀgÀt §AzsÀ ºÉÆA¢zÉ
b) PÉêÀ® ¥ÉæÃgÀPÀvÉAiÀÄ£ÀÄß ºÉÆA¢zÉ
c) PÉêÀ® zsÁgÀPÀvÉAiÀÄ£ÀÄß ºÉÆA¢zÉ
d) gÉÆÃzsÀªÀ£ÀÄß ªÀiÁvÀæ ºÉÆA¢gÀ§ºÀÄzÀÄ CxÀªÁ ¥ÉæÃgÀPÀvÉ (L),
zsÁgÀPÀvÉ (C) ªÀÄvÀÄÛ gÉÆÃzsÀ (R) UÀ¼À ¸ÀÆPÀÛ ¸ÀgÀt §AzsÀªÀ£ÀÄß
ºÉÆA¢gÀ§ºÀÄzÀÄ
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-5- 33 (NS)
8) ¥ÀjªÀvÀðPÀzÀ PÀ©âtzÀ ¢Ar£À°è CªÁºÀPÀªÀ£ÀÄß ¯Éæ¸À¯ÁUÀÄvÀÛzÉ. EzÀÄ
__________ EAzÀ GAmÁUÀĪÀ ±ÀQÛ £ÀµÀÖªÀ£ÀÄß PÀrªÉÄ ªÀiÁqÀÄvÀÛzÉ.
a) ¥sÀèPïì ¸ÉÆÃjPÉ b) ¸ÀÄgÀĽ¸ÀÄwÛ£À gÉÆÃzsÀ
c) ¸ÀĽ «zÀÄåvÀàçªÁºÀ d) »¸ÀÖj¹¸ï
9) `DA¦AiÀÄgï-ªÀiÁåPï쪯
É ï ¤AiÀĪÀÄ’ ªÀ£ÄÀ ß F PɼPÀ A
À qÀAvÉ §gÉAiÀÄÄvÁÛg.É
(¸ÀAPÉÃvÀUÀ½UÉ ¸ÁªÀiÁ£Àå CxÀðUÀ½ªÉ) :
→ → dφE → → dφE
a) B . dl = μ0i + μ0 ε 0 dt
b) B . dl = μ0i + ε 0 dt
→ → → →
dφB
c) B . dl = μ 0 i d) E . dl = − dt
10) ¸ÀAAiÀÄÄPÀÛ ¸ÀÆPÀëöäzÀ±ÀðPÀªÀÅ ªÀÄÆr¸ÀĪÀ MAzÀÄ £ÉÊd ªÀ¸ÀÄÛ«£À CAwªÀÄ
©A§ªÀÅ ªÀ¸ÀÄÛ«UÉ ºÉÆÃ°¹zÁUÀ ______________ ©A§ DVgÀÄvÀÛzÉ.
a) £ÉÊd, vÀ¯ÉPɼÀUÁzÀ, ªÀ¢üð¸À®àlÖ
b) «ÄxÀå, £ÉÃgÀ, ªÀ¢üð¸À®àlÖ
c) «ÄxÀå, £ÉÃgÀ, ¸ÀAPÀÄavÀªÁzÀ
d) «ÄxÀå, vÀ¯ÉPɼÀUÁzÀ, ªÀ¢üð¸À®àlÖ
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33 (NS) -6-
11) ¨É¼ÀQ£À ªÀåwPÀgÀtPÉÌ ¸ÀA§A¢ü¹zÀAvÉ F PɼÀPÀAqÀ ºÉýPÉUÀ¼À°è AiÀiÁªÀ
ºÉýPÉAiÀÄÄ vÀ¥ÁàVzÉ?
a) JgÀqÀÄ ¸ÀévÀAvÀæ ¨É¼ÀQ£À DPÀgÀUÀ½AzÀ §gÀĪÀ MAzÉà vÀgÀAUÁAvÀgÀzÀ
C¯ÉUÀ¼ÀÄ ¸ÀA¸ÀPÀÛªÁVzÀÄÝ ªÀåwPÀgÀtªÀ£ÀÄß GAlĪÀiÁqÀÄvÀÛªÉ
b) ªÀåwPÀgÀtUÉÆ¼ÀÄîªÀ JgÀqÀÄ vÀgÀAUÀUÀ¼À £ÀqÀÄ«£À ¥ÀxÁAvÀgÀªÀÅ n λ
DVzÀݰè PÁAwAiÀÄÄvÀ ¦üæAeïUÀ¼ÀÄ GAmÁUÀĪÀŪÀÅ. (E°è n = 0, 1,
2,.... ªÀÄvÀÄÛ λ JAzÀgÉ ¨É¼ÀQ£À vÀgÀAUÀzÀÆgÀ)
c) ªÀåwPÀgÀtUÉÆ¼ÀÄîªÀ JgÀqÀÄ vÀgÀAUÀUÀ¼À £ÀqÀÄ«£À ¥ÀæªÀ¸ÁÜAvÀgÀªÀÅ
(2n + 1) π DVzÀݰè PÁAwgÀ»vÀ ¦üæAeïUÀ¼ÀÄ GAmÁUÀĪÀŪÀÅ.
(E°è n = 0, 1, 2,.....)
d) AiÀÄAUï£À ¢éUÀAr ¹Ã¼ÀÄ ¥ÀæAiÉÆÃUÀzÀ°è ªÀÄÆqÀĪÀ PÁAwgÀ»vÀ ªÀÄvÀÄÛ
PÁAwAiÀÄÄvÀ ¦üæAeïUÀ¼ÀÄ ¸ÀªÀiÁ£À CAvÀgÀzÀ°ègÀÄvÀÛªÉ.
12) ¤±ÀÑ® ¹Üw¬ÄAzÀ MAzÀÄ ZÉAqÀ£ÀÄß ¤¢ðµÀÖ JvÀÛgÀ¢AzÀ ©Ã½¸À¯ÁVzÉ.
UÀÄgÀÄvÀé¢AzÀ CzÀÄ ©Ã¼ÀĪÀ ¸ÀªÀÄAiÀÄzÀ°è CzÀgÀ r ¨ÁæVè vÀgÀAUÁAvÀgÀªÀÅ :
a) ºÉZÁÑUÀÄvÁÛ ºÉÆÃUÀÄvÀÛzÉ
b) PÀrªÉÄAiÀiÁUÀÄvÁÛ ºÉÆÃUÀÄvÀÛzÉ
c) ±ÀÆ£ÀåªÁVgÀÄvÀÛzÉ
d) ºÉZÁÑUÀ§ºÀÄzÀÄ CxÀªÁ PÀrªÉÄAiÀiÁUÀ§ºÀÄzÀÄ
13) gÀÄzÀgï¥sÉÇÃqïð£À α -PÀtzÀ ZÀzÀÄgÀÄ«PÉ ¥ÀæAiÉÆÃUÀzÀ°è MAzÀÄ ¤¢ðµÀÖ
±ÀQÛAiÀÄ α -PÀtUÀ¼À£ÀÄß vɼÀĪÁzÀ §AUÁgÀzÀ ºÁ¼ÉAiÀÄ ªÉÄÃ¯É ©Ã¼ÀĪÀAvÉ
ªÀiÁqÀ¯ÁUÀÄvÀÛzÉ. α -PÀtUÀ½UÉ vÁqÀtZÁgÀªÀÅ ±ÀÆ£ÀåªÁVzÁÝUÀ
ZÀzÀÄgÀÄ«PÉAiÀÄ PÉÆÃ£ÀªÀÅ ______________ DVgÀÄvÀÛzÉ.
a) θ = 0 b) θ = 90
c) θ = 180 d) θ = 45
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14) MAzÀÄ £ÀÆåQèAiÀĸï£À°è£À ¥Àæw £ÀÆåQèAiÀÄ£ï£À §AzsÀPÀ ±ÀQÛAiÀÄÄ
D £ÀÆåQèAiÀĸï£À _____________ AiÀÄ/zÀ C¼ÀvÉAiÀiÁVzÉ.
a) wædå b) zÀæªÀågÁ²
c) UÁvÀæ d) ¹ÜgÀvÉ
15) ¹°PÁ£ï£À°è£À ±ÀQÛ CAvÀgÀªÀÅ :
a) 0.72 eV b) 1.1 eV
c) 3 eV d) 5 eV
II. F PɼÀV£À J¯èÁ ¥Àæ±ÉßUÀ¼À°è ©lÖ ¸ÀܼÀªÀ£ÀÄß DªÀgÀtzÀ°è ¤ÃrgÀĪÀ DAiÉÄÌUÀ¼À°è
¸ÀÆPÀÛ GvÀÛgÀzÀ ªÀÄÆ®PÀ vÀÄA©j : (5 × 1 = 5)
(qÀAiÀiÁPÁAwÃAiÀÄ, ¥sÉgÉÆÃPÁAwÃAiÀÄ, PëÀtªÀiÁvÀæzÀ°è ¸ÀA¨sÀ«¸ÀĪÀ, CqÀØ, §®,
¨sÁæªÀÄPÀ)
16) KPÀgÀÆ¥À ¨ÁºÀå «zÀÄåvïPÉëÃvÀæzÀ°èj¹zÀ MAzÀÄ ¢ézsÀÄæªÀªÀÅ ¤ªÀé¼À
_______________ ªÀ£ÀÄß C£ÀĨsÀ«¸ÀÄvÀÛzÉ.
17) ¤ÃgÀÄ _______________ jÃwAiÀÄ ªÀ¸ÀÄÛ«UÉ MAzÀÄ GzÁºÀgÀuÉAiÀiÁVzÉ.
18) MAzÀÄ _______________ zÀAqÀªÀ£ÀÄß ¥ÉæÃgÀPÀ ¸ÀÄgÀĽAiÀÄ ªÀÄÆ®PÀ
vÀÆj¹zÁUÀ CzÀgÀ ¥ÉæÃgÀPÀvÉ ¨É¯ÉAiÀÄÄ ºÉZÁÑUÀÄvÀÛzÉ.
19) ¨É¼ÀQ£À zsÀÄæ«ÃPÀgÀtªÀÅ ¨É¼ÀPÀÄ _______________ vÀgÀAUÀ JA§ÄzÀ£ÀÄß
vÉÆÃj¸ÀÄvÀÛzÉ.
20) zÀÄåw«zÀÄåvï ¥ÀjuÁªÀĪÀÅ MAzÀÄ —————————— ¥ÀæQæAiÉÄ.
¨sÁUÀ - ©
III. F PɼÀUÉ PÉÆnÖgÀĪÀ AiÀiÁªÀÅzÁzÀgÀÆ LzÀÄ ¥Àæ±ÉßUÀ½UÉ GvÀÛj¹. (5 × 2 = 10)
21) MAzÀÄ DªÉñÀ ªÀåªÀ¸ÉÜAiÀÄ «¨sÀªÀ ±ÀQÛAiÀÄ£ÀÄß ªÁåSÁ夹.
JgÀqÀÄ «eÁwÃAiÀÄ «zÀÄåzÁªÉñÀUÀ¼À £ÀqÀÄ«£À zÀÆgÀªÀ£ÀÄß ºÉaѹzÁUÀ
CªÀÅUÀ¼À £ÀqÀÄ«£À «¨sÀªÀ ±ÀQÛAiÀÄÄ K£ÁUÀÄvÀÛzÉ (AiÀiÁªÀÅzÉà ¨ÁºÀå
PÉëÃvÀæ«®èªÉAzÀÄ ¨sÁ«¹)?
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33 (NS) -8-
22) NªÀiï£À ¤AiÀĪÀÄzÀ AiÀiÁªÀÅzÁzÀgÀÆ JgÀqÀÄ «ÄwUÀ¼À£ÀÄß ¥ÀnÖ ªÀiÁr.
23) ¯ÉÆgÉAmïì §®zÀ UÀtÂvÉÆÃQÛAiÀÄ£ÀÄß §gɬÄj ªÀÄvÀÄÛ ¥ÀzÀUÀ¼À£ÀÄß «ªÀj¹.
24) ¯ÉAeóï£À ¤AiÀĪÀÄzÀ ºÉýPÉAiÀÄ£ÀÄß ¤Ãr. F ¤AiÀĪÀÄzÀ ¥ÁæªÀÄÄRåvÉ K£ÀÄ?
25) ¸ÀÆPëÀ ävÀgÀAUÀUÀ¼À AiÀiÁªÀÅzÁzÀgÀÆ JgÀqÀÄ G¥ÀAiÉÆÃUÀUÀ¼À£ÀÄß PÉÆr.
26) UÉÆÃ½ÃAiÀÄ zÀ¥ÀðtzÀ ¸ÀAUÀªÀÄ zÀÆgÀ (f ) ºÁUÀÆ ªÀPÀævÁ wædå (R) UÀ¼ÀÄ
ºÉÃUÉ ¸ÀA§A¢üvÀªÁVªÉ? ¦Ã£À zÀ¥ÀðtzÀ ¸ÀAUÀªÀÄ zÀÆgÀzÀ aºÉß K£ÀÄ?
27) ¸ÀA¥ÀÇtð DAvÀjPÀ ¥Àæw¥sÀ®£ÉVgÀĪÀ ¤§AzsÀ£ÉUÀ¼À£ÀÄß §gɬÄj.
28) MAzÀÄ CAvÀ¸ÀÜ CgɪÁºÀPÀ ºÀgÀ¼À£ÀÄß ¥ÀAZÀªÉïÉAlÄ ¥ÀgÀªÀiÁtÄUÀ¼ÉÆA¢UÉ
qÉÆÃ¥ÀÅ ªÀiÁrzÁUÀ, CzÀgÀ°è£À J¯ÉPÁÖç£ïUÀ¼À ¸ÁAzÀævÉAiÀÄÄ 5× 1022 m−3
DVzÉ. GµÀÚ ¸ÀªÀÄvÉÆÃ®£À ¹ÜwAiÀÄ°è ºÀgÀ½£À CAvÀ¸ÀÜ ªÁºÀPÀ ¸ÁAzÀævÉ
ni = 1.5 × 1016 m−3 DVzÀݰè, gÀAzsÀæ ¸ÁAzÀævÉAiÀÄ£ÀÄß ¯ÉPÀÌ ºÁQj.
¨sÁUÀ - ¹
IV. F PɼÀUÉ PÉÆnÖgÀĪÀ AiÀiÁªÀÅzÁzÀgÀÆ LzÀÄ ¥Àæ±ÉßUÀ½UÉ GvÀÛj¹ :
(5 × 3 = 15)
29) «zÀÄåvïPÉëÃwæÃAiÀÄ gÉÃSÉUÀ¼À ªÀÄÆgÀÄ UÀÄt®PëÀtUÀ¼À£ÀÄß w½¹j.
30) JgÀqÀÄ zsÁgÀPÀUÀ¼À£ÀÄß ¸ÀªÀiÁAvÀgÀ eÉÆÃqÀuÉAiÀİè eÉÆÃr¹zÁUÀ §gÀĪÀ
¸ÀªÀiÁ£À zsÁgÀuÁ ¸ÁªÀÄxÀåðzÀ UÀtÂvÉÆÃQÛAiÀÄ£ÀÄß ¤µÀàwÛ¹.
31) UÁå®é£ÉÆÃ«ÄÃlgï C£ÀÄß ªÉÇïïÖ«ÄÃlgï DV ¥ÀjªÀwð¸ÀĪÀ «zsÁ£ÀªÀ£ÀÄß
ªÀÄAqÀ®zÀ ªÀÄÆ®PÀ «ªÀj¹j.
Page 10
-9- 33 (NS)
32) a) PÁAwÃPÀgÀt
b) PÁAwÃAiÀÄ ªÁå¥ÀåvÉ ºÁUÀÆ
c) PÁAwÃAiÀÄ ¥ÉæÃgÀvÉUÀ¼À£ÀÄß ªÁåSÁ夹j.
33) KPÀjÃwAiÀÄ PÁAvÀPÉëÃvÀæzÀ°è ªÁºÀPÀzÀAqÀªÀÅ ZÀ°¸ÀĪÁUÀ GvÀàwÛAiÀiÁUÀĪÀ
ZÁ°vÀ «zÀÄåvïZÁ®PÀ §®PÉÌ UÀtÂvÉÆÃQÛAiÀÄ£ÀÄß ¤µÀàwÛ¹.
34) 3 eV ±ÀQÛ¬ÄgÀĪÀ ¨É¼ÀPÀÄ MAzÀÄ ¯ÉÆÃºÀzÀ ªÉÄïÉäöÊ ªÉÄÃ¯É ©zÁÝUÀ
UÀjµÀ× 1 eV ZÀ®£Á±ÀQÛ¬ÄgÀĪÀ zÀÄåwJ¯ÉPÁÖç£ïUÀ¼ÀÄ ºÉÆgÀ¸ÀƸÀ®àqÀÄvÀÛªÉ.
¯ÉÆÃºÀzÀ ªÉÄïÉäöÊ£À ¤uÁðAiÀÄPÀ DªÀÈwÛAiÀÄ£ÀÄß PÀAqÀÄ»r¬Äj.
(¤ÃrzÀ zÀvÁÛA±À : ¥ÁèAPï£À ¹ÜgÁAPÀ, h = 6.63 × 10−34 Js ; J¯ÉPÁÖç£ï£À
«zÀÄåzÁªÉñÀ, e = 1.6 × 10−19 C )
35) ¨ÉÆÃgï£À ºÉÊqÉÆæÃd£ï ¥ÀgÀªÀiÁtÄ ªÀiÁzÀjAiÀÄ ¸ÀéAiÀÄA¹zÀÞUÀ¼À£ÀÄß ºÉýj.
36) ¨ÉÊfPÀ §®zÀ AiÀiÁªÀÅzÁzÀgÀÆ ªÀÄÆgÀÄ UÀÄt®PëÀtUÀ¼À£ÀÄß §gɬÄj.
¨sÁUÀ - r
V. F PɼÀUÉ PÉÆnÖgÀĪÀ AiÀiÁªÀÅzÁzÀgÀÆ ªÀÄÆgÀÄ ¥Àæ±ÉßUÀ½UÉ GvÀÛj¹j. (3 × 5 = 15)
37) MAzÀÄ ©AzÀÄ«£À°è ©AzÀÄ «zÀÄåzÁªÉñÀ¢AzÀ GAmÁUÀĪÀ «zÀÄåvï
«¨sÀªÀPÉÌ UÀtÂvÉÆÃQÛAiÀÄ£ÀÄß ¤µÀàwÛ¹j.
38) QÃSÁð¥sï£À ¤AiÀĪÀÄUÀ¼À£ÀÄß G¥ÀAiÉÆÃV¹ «íÃmï¸ÉÆÖÃ£ï ¸ÉÃvÀÄ«£À
¸ÀªÀÄvÉÆÃ°vÀ ¤§ðAzsÀªÀ£ÀÄß ªÀÅåvÀàwÛ¹.
39) ¤ªÁðvÀzÀ°èj¹zÀ JgÀqÀÄ C£ÀAvÀ GzÀÝzÀ ¸ÀªÀiÁ£ÁAvÀgÀ
£ÉÃgÀ ªÁºÀPÀUÀ¼À°è «zÀÄåvï ¥ÀæªÀ»¹zÁUÀ CªÀÅUÀ¼À £ÀqÀÄªÉ KPÀªÀiÁ£À
GzÀÝzÀ ªÉÄÃ¯É DgÉÆÃ¦vÀªÁUÀĪÀ §®PÉÌ UÀtÂvÉÆÃQÛAiÀÄ£ÀÄß ¥ÀqɬÄj. F
ªÀÄÆ®PÀ ªÀÄÆ®ªÀiÁ£À `DA¦ÃAiÀÄgï’ C£ÀÄß ªÁåSÁ夹.
Page 11
33 (NS) -10-
40) a) ºÉÊUÀ£ï vÀvÀéªÀ£ÀÄß §gɬÄj. (1)
b) ºÉÊUÀ£ï vÀvÀéªÀ£ÀÄß C£ÀĸÀj¹ ¸ÀªÀÄvÀ® C¯ÉAiÀÄ ªÀQæÃ¨sÀªÀ£ÀzÀ°è ¸É߯ï£À
ªÀQæÃ¨sÀªÀ£À ¤AiÀĪÀĪÀ£ÀÄß ¸Á¢ü¹. (4)
41) a) ¢¶×PÁgÀPÀ JAzÀgÉãÀÄ? (1)
b) ªÀÄAqÀ® avÀæ, ¨sÀÄPÀÛ ªÀÄvÀÄÛ ¤UÀðvÀ C¯ÉgÀÆ¥ÀUÀ¼À ¸ÀºÁAiÀÄzÉÆA¢UÉ
¥ÀÇtð C¯É ¢¶×PÁgÀPÀzÀ QæAiÉÄAiÀÄ£ÀÄß «ªÀj¹j. (4)
VI. F PɼÀUÉ PÉÆnÖgÀĪÀ AiÀiÁªÀÅzÁzÀgÀÆ JgÀqÀÄ ¥Àæ±ÉßUÀ½UÉ GvÀÛj¹ : (2 × 5 = 10)
42) MAzÀÄ KPÀgÀÆ¥À «zÀÄåzÁªÉòvÀªÁzÀ 10 cm wædåªÀ£ÀÄß ºÉÆA¢gÀĪÀ
vɼÀÄUÉÆÃ¼ÀzÀ ªÉÄðgÀĪÀ ªÉÄïÉä Ê DªÉñÀ ¸ÁAzÀævÉAiÀÄÄ 16 μ cm −2 DVzÉ.
CzÀgÀ PÉÃAzÀæ ©AzÀÄ«¤AzÀ
a) 20 cm ªÀÄvÀÄÛ
b) 5 cm zÀÆgÀzÀ°è CzÀjAzÀ GAmÁUÀĪÀ «zÀÄåvïPÉëÃvÀæªÀ£ÀÄß
PÀAqÀÄ»r¬Äj.
43) MAzÉà jÃwAiÀÄ JgÀqÀÄ 15 V «zÀÄåvïZÁ®PÀ §®zÀ PÉÆÃ±ÀUÀ¼À£ÀÄß MAzÀÄ
5 Ω ºÉÆgÀ gÉÆÃzsÀzÀ eÉÆvÉUÉ ¸ÀgÀtÂAiÀİè CxÀªÁ ¸ÀªÀiÁ£ÁAvÀgÀªÁV
eÉÆÃr¹zÁUÀ ºÉÆgÀ gÉÆÃzsÀzÀ°è MAzÉà ¨É¯ÉAiÀÄ «zÀÄåvÀàçªÁºÀ
¥ÀæªÀ»¸ÀÄvÀÛzÉ. ºÁVzÀݰè
a) PÉÆÃ±ÀUÀ¼À DAvÀjPÀ gÉÆÃzsÀªÀ£ÀÄß PÀAqÀÄ»r¬Äj.
b) MAzÀÄ §UÉAiÀÄ eÉÆÃqÀuÉAiÀÄ°è ºÉÆgÀ gÉÆÃzsÀzÀ°è ¥ÀæªÀ»¸ÀĪÀ
«zÀÄåvÀàçªÁºÀ PÀAqÀÄ»r¬Äj.
Page 12
-11- 33 (NS)
44) L = 0.5 H ªÀÄvÀÄÛ R = 100 Ω EgÀĪÀ MAzÀÄ LCR ¸ÀgÀt ªÀÄAqÀ®ªÀ£ÀÄß
200 V, 50 Hz a.c. DPÀgÀPÉÌ eÉÆÃr¸À¯ÁVzÉ.
a) ªÀÄAqÀ®ªÀ£ÀÄß C£ÀÄgÀt£ÉUÉÆ¼À¥Àr¸ÀĪÀ zsÁgÀPÀzÀ zsÁgÀuÁ
¸ÁªÀÄxÀåðzÀ ¨É¯ÉAiÀÄ£ÀÄß PÀAqÀÄ»r¬Äj.
b) C£ÀÄgÀt£ÉAiÀiÁUÀĪÁUÀ ¥ÉæÃgÀPÀzÀ°è GAmÁUÀĪÀ «¨sÀªÀ ªÀåvÁå¸ÀªÀ£ÀÄß
PÀAqÀÄ»r¬Äj.
45) 1 mm JvÀÛgÀ«gÀĪÀ MAzÀÄ ªÀ¸ÀÄÛªÀ£ÀÄß +10 D ¸ÁªÀÄxÀåðzÀ MAzÀÄ
vɼÀÄ ¦Ã£ÀªÀĸÀÆgÀzÀ CPëÀPÉÌ ®A§ªÁV Ej¸À¯ÁVzÉ. ªÀ¸ÀÄÛ ªÀÄvÀÄÛ
ªÀĸÀÆgÀzÀ £ÀqÀÄ«£À zÀÆgÀªÀÅ 15 cm DVzÉ. ªÀÄÆqÀĪÀ ©A§zÀ ¸ÁÜ£À
ªÀÄvÀÄÛ ©A§zÀ JvÀÛgÀªÀ£ÀÄß PÀAqÀÄ»r¬Äj.
¨sÁUÀ - E
VII. (zÀ馅 «PÀ®ZÉÃvÀ£À «zÁåyðUÀ½UÉ ªÀiÁvÀæ)
7) MAzÀÄ ¥ÀAiÀiÁðAiÀÄPÀ «zÀÄåvÀàçªÁºÀ ªÀÄAqÀ®zÀ°è «zÀÄåvÀàçªÁºÀªÁzÁUÀ
«¨sÀªÀvÉ ªÀÄvÀÄÛ «zÀÄåvÀàçªÁºÀUÀ¼ÀÄ MAzÉà ¥ÁæªÀ¸ÉÜAiÀÄ£ÀÄß ºÉÆA¢zÉ JAzÀÄ
UÀªÀĤ¸À¯ÁVzÉ. ºÁVzÀÝ°è ªÀÄAqÀ®ªÀÅ a.c. DPÀgÀzÀ eÉÆvÉUÉ :
a) gÉÆÃzsÀ ªÀÄvÀÄÛ zsÁgÀPÀvÉAiÀÄ ¸ÀgÀt §AzsÀ ºÉÆA¢zÉ.
b) PÉêÀ® ¥ÉæÃgÀPÀvÉAiÀÄ£ÀÄß ºÉÆA¢zÉ.
c) PÉêÀ® zsÁgÀPÀvÉAiÀÄ£ÀÄß ºÉÆA¢zÉ.
d) gÉÆÃzsÀªÀ£ÀÄß ªÀiÁvÀæ ºÉÆA¢gÀ§ºÀÄzÀÄ CxÀªÁ ¥ÉæÃgÀPÀvÉ (L),
zsÁgÀPÀvÉ (C) ºÁUÀÆ gÉÆÃzsÀ (R) gÀ ¸ÀÆPÀÛ ¸ÀgÀt §AzsÀªÀ£ÀÄß
ºÉÆA¢gÀ§ºÀÄzÀÄ.
—————————
Page 13
33 (NS) -12-
(English Version)
Instructions : 1. All Parts A to D are compulsory. Part – E is only for visually
challenged students.
2. For Part – A questions, first written answers will be
considered for awarding marks.
3. Answers without relevant diagram / figure / circuit wherever
necessary will not carry any marks.
4. Direct answers to numerical problems without relevant
formula and detailed solutions will not carry any marks.
PART – A
I. Pick the correct option among the four given options for all of the following
questions : (15 × 1 = 15)
1) A point charge q1 exerts a force F on another point charge q2
when placed at a fixed distance. If another point charge q3 is brought near
q2 , the force on q2 due to q1 :
a) increases
b) decreases
c) may increase or decrease
d) does not change
2) Equipotential surfaces for an isolated point charge are __________ in
shape.
a) spherical
b) planar
c) cylindrical
d) conical
Page 14
-13- 33 (NS)
3) Resistivity of a metal wire depends on its :
a) area of cross-section b) length
c) material d) volume
4) The following table lists magnetic fields due to different current
configurations. Column – I lists the current configurations and Column – II
lists expressions for magnetic fields. Symbols have usual meanings.
Column – I Column – II
i) At a distance r from an p) B = μ 0 nI
infinitely long straight wire.
μ 0I
ii) At the centre of a circular q) B=
2r
current loop of radius r.
μ 0I
iii) At the centre of a current r) B=
2π r
carrying solenoid.
Match the current configurations in Column – I with the correct magnetic
field expressions in Column – II.
a) (i) – (p), (ii) – (q), (iii) – (r)
b) (i) – (r), (ii) – (q), (iii) – (p)
c) (i) – (r), (ii) – (p), (iii) – (q)
d) (i) – (q), (ii) – (r), (iii) – (p)
5) ‘The net magnetic flux through any closed surface is zero’. This law is
called
a) Gauss’ law in electrostatics
b) Gauss’ law in magnetism
c) Ampere’s circuital law
d) Faraday’s law of electromagnetic induction
Page 15
33 (NS) -14-
6) Consider the following statements :
Statement – 1: A.C. Generator works on the principle of
electromagnetic induction
Statement – 2: In an A.C. Generator , as the armature is rotated in a
uniform magnetic field , the magnetic flux linked with the
coil changes which induces an emf in the coil.
Among the above two statements :
a) Both Statements are true
b) Both Statements are false
c) Statement-1 is true and Statement-2 is false
d) Statement-1 is false and Statement-2 is true
7) The variation of voltage and current through an a.c. circuit with time is as
shown in the figure.
Along with the a.c. source, the circuit :
a) has a series combination of resistance and capacitance
b) has only inductance
c) has only capacitance
d) may have only resistance or may have a suitable series combination
of inductance (L), capacitance (C) and resistance (R)
Page 16
-15- 33 (NS)
8) Transformer cores are usually laminated. This is to reduce energy loss
due to
a) flux leakage b) winding resistance
c) eddy currents d) hysteresis
9) ‘Ampere-Maxwell Law’ is written as (symbols have usual meanings) :
→ → dφE → → dφE
a) B . dl = μ0i + μ0 ε 0 dt
b) B . dl = μ0i + ε 0 dt
→ → → →
dφB
c) B . dl = μ 0 i d) E . dl = − dt
10) Final image of a real object formed by a compound microscope is
____________ with respect to the object.
a) real, inverted and magnified
b) virtual, erect and magnified
c) virtual, erect and diminished
d) virtual, inverted and magnified
11) Which one of the following statements is WRONG about interference of
light?
a) Light waves of same wavelength coming from two independent
sources can be coherent and can produce interference
b) When the path difference between two interfering waves in nλ ,
bright fringe is produced (Here n = 0, 1, 2, .... and λ is the
wavelength of light)
c) When the phase difference between two interfering waves is
(2n + 1) π , dark fringe is produced (Here n = 0, 1, 2, ..)
d) In Young’s double slit experiment, dark and bright fringes are equally
spaced
12) A ball is dropped from a certain height and it falls freely under gravity.
During the fall, the de Broglie wavelength associated with it :
a) keeps increasing b) keeps decreasing
c) is zero d) may increase or decrease
Page 17
33 (NS) -16-
13) In Rutherford’s α -ray scattering experiment, α -particles of specific
energy are projected towards a thin gold foil. If the impact parameter for
the α -particles is zero, the angle of scattering is
a) θ = 0 b) θ = 90
c) θ = 180 d) θ = 45
14) Binding energy per nucleon of a nucleus is a measure of its
a) radius b) mass
c) volume d) stability
15) The energy gap for silicon is :
a) 0.72 eV b) 1.1 eV
c) 3 eV d) 5 eV
II. Fill in the blanks by choosing appropriate answer given in the bracket for
all of the following questions : (5 × 1 = 5)
(diamagnetic, ferromagnetic, instantaneous, transverse, force, torque)
16) An electric dipole placed in a uniform electric field experiences a net
____________.
17) Water is an example for __________ material.
18) When a ____________ rod is inserted into a coil, its self-inductance
increases.
19) Polarization of light shows that light is a _________ wave.
20) Photoelectric effect is a/an _____________ effect.
Page 18
-17- 33 (NS)
PART – B
III. Answer any five of the following questions : (5 × 2 = 10)
21) Define electric potential energy of a system of charges.
What happens to the potential energy of a system of two unlike charges
when the distance between them is increased (assume there is no
external electric field)?
22) List any two limitations of Ohm’s law.
23) Write the expression for Lorentz force and explain the terms.
24) State Lenz’s law. What is its significance?
25) Give any two uses of microwaves.
26) How are focal length (f ) and radius of curvature (R ) of a spherical mirror
related? What is the sign of focal length of a convex mirror?
27) Mention the conditions for total internal reflection.
28) An intrinsic semi conductor crystal is doped with pentavalent atoms has
an electron concentration of 5 × 10 22 m −3 . If, at thermal equilibrium, the
intrinsic concentration ni = 1.5 × 1016 m −3 , find the hole concentration.
PART – C
IV. Answer any five of the following questions : (5 × 3 = 15)
29) Mention three properties of electric field lines.
30) Derive the expression for the equivalent capacitance of two capacitors
connected in parallel.
31) Explain with a circuit diagram, how a galvanometer can be converted into
voltmeter.
32) Define the terms :
a) Magnetization
b) Magnetic permeability and
c) Magnetic susceptibility.
Page 19
33 (NS) -18-
33) Derive the expression for motional emf induced in a rod moving in a
uniform magnetic field.
34) When a light radiation of energy 3 eV falls on a metal surface,
photoelectrons with a maximum kinetic energy 1 eV are emitted from
the surface. Find the threshold frequency for the metal surface.
(Given : Planck’s constant, h = 6.63 × 10 −34 Js ; Charge on the electron
e = 1.6 × 10 −19 C ) .
35) State the postulates of Bohr’s hydrogen atom model.
36) Write any three properties of nuclear force.
PART – D
V. Answer any three of the following questions : (3 × 5 = 15)
37) Derive the expression for the electric potential at a point due to a point
charge.
38) Arrive at the condition for balance of a Wheatstone’s network using
Kirchhoff’s rules.
39) Obtain the expression for the force per unit length between two infinitely
long straight parallel current carrying conductors placed in vacuum.
Hence define the unit ‘ampere’.
40) a) State Huygen’s principle. (1)
b) Prove Snell’s law of refraction using Huygen’s principle by
considering refraction of a plane wave by a surface. (4)
41) a) What is a rectifier? (1)
b) With the help of a circuit diagram, input and output waveforms,
explain the working of a full wave rectifier. (4)
Page 20
-19- 33 (NS)
VI. Answer any two of the following questions : (2 × 5 = 10)
42) A uniformly charged spherical shell of radius 10 cm has a surface charge
density of 16 μ cm −2 . Find the electric field due to the shell at a distance
of
a) 20 cm from the centre of the shell.
b) 5 cm from the centre of the shell.
43) Two identical cells each of emf 15 V either connected in series or connected
in parallel across an external resistance of 5Ω produce the same current
through the resistor.
a) Calculate the value of internal resistance of the cell.
b) Find the current through the external resistor in either case.
44) A series LCR circuit with L = 0.5 H and R = 100 Ω is connected to a
200 V, 50 Hz a.c. supply.
a) Calculate the value of capacitance of the capacitor that drives the
circuit into resonance.
b) Find the value of voltage across the inductor at resonance.
45) An object of height 1 mm is kept perpendicular to the axis of a thin convex
lens of power +10 D. The distance between the object and the lens is
15 cm. Find the position and height of the image formed.
PART – E
VII. (For Visually Challenged Students only)
7) When a.c. is passed through an a.c. circuit, it is observed that the voltage
and the current are in phase. Along with the a.c. source, the circuit :
a) has a series combination of resistance and capacitance.
b) has only inductance.
c) has only capacitance.
d) may have only resistance or may have a suitable series combination
of inductance (L), capacitance (C) and resistance (R).
———————
Page 22
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