AUAT 2024 Question Paper B.Sc (Hons) in Physics

Entrance Exam
2024

QUESTION
PAPER

Question Booklet No. Question Booklet Series : A
AUAT — 2024
B. Sc. Honours in Physics (U11)
(TEST BASED ON MCQ)

Full Marks : 100 Duration : 2 Hours

Roll No. of the Candidate : ___________________________________

Date of Examination : _______________________________________

Name of Examination Centre : _________________________________
Signature of the Invigilator on
Signature of the Candidate : _________________________________ Verification

IMPORTANT INSTRUCTIONS

Candidates should read the below instructions carefully and follow them accordingly.
1. The Question Booklet has paper seal pasted on it. Please do NOT open the Question Booklet
until you are asked to do so by the Invigilator.

2. The candidates must check immediately after breaking the seal that the Question Booklet
contains 100 Multiple Choice Questions in two parts (Part—I and Part—II).

3. Answer of questions of Part—I and Part—II both will have to be given on the OMR Answer Sheet
provided for this purpose. Fill up the necessary fields that are intended for you by writing
and/or shading appropriately. Otherwise the OMR Answer Sheet cannot be evaluated and will
liable to be rejected. Question numbers progress from 1 to 100 continuously with alternative
answers being shown as [A], [B], [C] and [D] for each question. Record your response by completely
darkening the corresponding bubble. While responding, you should consider the best alternative
answer and shade only one bubble with black/blue ball point pen only. For each correct response
you will be awarded 1 mark. There will be negative marking for wrong responses. For each
wrong response, –0·25 mark will be awarded. Multiple responses against one MCQ will be treated
as a wrong response.

4. On leaving the examination hall, candidates must submit the OMR Answer Sheet. They are
allowed to keep the Question Booklet with them.

5. OMR Answer Sheet will be processed by electronic means. Any untoward/irrelevant remarks,
folding or putting stray notes on the answer sheet, any damage to the answer sheet will lead to
the rejection of the same and the sole liability shall remain with the candidate.

6. Rough Work may be done at the end of the Question Booklet.

7. No candidate will be allowed to leave the examination hall before completion of the examination.

8. Use of any Electronic device like Mobile, Programmable Calculator etc. is strictly prohibited.

DO NOT OPEN THE SEAL UNTIL INSTRUCTED TO DO SO
AUAT-2024 /97- A

PART—I
( Core Subject )

1. The wavelength of monochromatic 4. The electric potential V varies with
light is 589 nm. Its order of the position (x) according to the
magnitude in meter is relation V = 5 + 4x2. The force felt by a
negative charge of 2 × 10–6 C located
"àìºàìA¡¹ &A¡[i¡ ¤ìo¢¹ t¡¹UíƒQ¢¸ ¡589 nmú [³i¡à¹ at x = 0·5 m is
&A¡ìA¡ &¹ [¤>¸àÎ Òì¤
ëA¡àì>à Ñ‚àì>¹ [¤®¡¤ V, (x) Ñ‚à>àìS¡¹ l¡üš¹
[A] 10 –6
V = 5 + 4x2 &Òü®¡àì¤ [>®¢¡¹Å㺡ú x = 0·5 m
[B] 10 –4 Ñ‚à>àìS¡¡ "¤[Ñ‚t¡ 2 × 10–6 C ë>ìK[i¡®¡ "à‹àì>¹
l¡üš¹ ¤º Òì¤
[C] 10 –9

[D] 10 –3 [A] 2 × 10 –6 N

[B] 4 × 10 –6 N
2. Charge of an electron is 1·6 × 10–19C.
Number of electrons in 16 µC charge is
[C] 6 × 10 –6 N
&A¡[i¡ ÒüìºA¡i¡öì>¹ "à‹à> (W¡à\¢) Òº 1·6 × 10–
[D] 8 × 10 –6 N
19C. 16 µC "à‹àì> ÒüìºA¡i¡öì>¹ Î}J¸à Òº

[A] 10 14 5. An electric dipole placed with its axis
in the direction of a uniform electric
[B] 10 22
field experiences
[C] 10 19
&A¡[i¡ t¡[Øl¡; [‡-ë³¹ç¡ìA¡ γšøऺ¸ [¤[ÅÊ¡ ëÛ¡ìy¹ [ƒA¡
[D] 10 18
¤¹à¤¹ Ñ‚àš> A¡¹ìº, [‡-ë³¹ç¡[i¡¹ l¡üš¹ šøì™à\¸ ÒÚ
3. A metal sphere with a radius of 5 cm
has been charged to produce a [A] a force but no torque
potential of 10 V on its surface. What
is the potential at the center of the (&A¡[i¡ ¤º [A¡”ñ i¡A¢¡ >Ú)
sphere?
[B] a torque but no force
5 cm ¤¸àÎà‹¢ [¤[ÅÊ¡ &A¡[i¡ ‹àt¡¤ ëKàºìA¡¹ šõìË¡¹
[¤®¡¤ 10 V¡ú ëKàìºìA¡¹¡ ëA¡ì@ƒø [¤®¡ì¤¹ š[¹³à> (&A¡[i¡ i¡A¢¡ [A¡”ñ ¤º >Ú)
A¡t¡?
[C] a force as well as a torque
[A] 10 V

[B] 0 V (&A¡[i¡ i¡A¢¡ &¤} &A¡[i¡ ¤º)
[C] 5 V
[D] neither a force nor a torque
[D] 20 V
(i¡A¢¡ * ¤º ëA¡à>i¡àÒü >Ú)
AUAT-2024 /97- A 2

6. A capacitor of capacitance C1 = C is 8. If the current I through a resistor is
charged to a voltage V. It is then increased by 100% (assume that
connected in parallel with a series temperature remains unchanged),
combination of two uncharged then the increase in power dissipated
capacitors of capacitances C2 = C and will be
C3 = C. The charge that will flow
through the connecting wires is ™[ƒ &A¡[i¡ ë¹à싹 ³à‹¸ì³ šø¤àÒ³àyà (I) 100%
¤õ[‡ý¡ A¡¹à ÒÚ, (‹¹ ë™ t¡àš³àyà "š[¹¤[t¢¡t¡ ¹ìÚìá)
&A¡[i¡ ‹à¹A¡ C1-&¹ ‹à¹A¡â« C ëA¡ V 뮡àÂi¡ [¤®¡ì¤ t¡ì¤ Å[v¡û¡Û¡Ú ¤àØl¡ì¤
"à[Òt¡ A¡¹à ÒìÚìá¡ú ">¸ ƒåÒü[i¡ ">à[Òt¡ ‹à¹A¡ C2
[A] 100%
&¤} C3, ™à샹 ‹à¹A¡â« γà> C, ëÅø[o γ¤àìÚ ™åv¡û¡¡ú
&Òü γ¤àÚ "à[Òt¡ ‹à¹ìA¡¹ Îàì= γà”z¹àº γ¤àìÚ [B] 200%
™åv¡û¡ A¡¹à Òº¡ú Î}™åv¡û¡A¡à[¹ t¡àì¹¹ ³‹¸ [ƒìÚ šø¤à[Òt¡
[C] 300%
"à‹àì>¹ š[¹³ào
[D] 400%
CV
[A]
3
9. An electric kettle consumes 1 kW of
electric power when operated at
2CV 220 V. A fuse wire of what rating must
[B]
3
be used for it?

[C] CV &A¡[i¡ í¤ƒå¸[t¡A¡ ëA¡i¡[º 220 V & W¡à[ºt¡ Òìº
1 kW í¤ƒå¸[t¡A¡ Å[v¡û¡ J¹W¡ A¡ì¹¡ú &¹ \>¸ ëA¡à>ô
[D] 0
ë¹[i¡}-&¹ [ó¡l¡ü\ t¡à¹[i¡ ¤¸¤Ò๠A¡¹à ™àì¤?
[A] 5A
7. The electric field due to an extremely
short dipole at a distance r from it [B] 4A
varies as
[C] 4·2A
&A¡[i¡ [‡-볹硹 t¡[Øl¡; šøऺ¸ ƒè¹â« r-&¹ Îàì= [D] 4·4A
A¡ã®¡àì¤ š[¹¤t¢¡> ÒÚ?
10. What is the maximum resistance
1 which can be made using five
[A]
r4 resistors each of 1/5 Ω?

1/5 Ω ë¹à‹ [¤[ÅÊ¡ šòàW¡[i¡ ë¹à‹ ¤¸¤Ò๠A¡ì¹ Î줢àZW¡
1
[B] A¡t¡ ë¹à‹ šà*Úà ™àì¤?
r3
[A] 5 Ω
1
[C]
r2 [B] 1 Ω

[C] 0·5 Ω
[D] 1
r [D] 10 Ω

AUAT-2024 /97- A 3 [ P.T.O.

11. A wire of resistance 8 Ω is bent in the 14. When a convex and a concave lens
form of a circle as shown in the figure are placed in contact with each other
below. What is the effective resistance along their principal axis, the power of
between the ends of a diameter AB ? the combination will be

[>ìW¡¹ [W¡ìy ¤[o¢t¡ ¤õv¡àA¡à¹ t¡àì¹¹ ë¹à‹ 8 Ω¡ú AB f -ëó¡àA¡àÎ íƒìQ¢¸¹ &A¡[i¡ l¡üv¡º &¤} &A¡[i¡ "¤t¡º
¤¸àÎ ¤¹à¤¹ A¡à™¢A¡¹ã ë¹à싹 ³à> A¡t¡ Òì¤? ëºXìA¡ "Û¡ ¤¹à¤¹ KàìÚ KàìÚ ºàKàì>à Òìº
γ¤àÚ[i¡¹ Û¡³t¡à Òì¤
[A] ∞
[B] 2f
[A] 8 Ω [C] f/2
[D] 0
[B] 4 Ω
15. The value of minimum angle of
[C] 2 Ω deviation subtended by a prism of
[D] 1 Ω refractive index 2 and prism angle
60° is
12. A wire of the potentiometer has 2 šø[t¡Î¹àS¡ * 60° ëA¡ào [¤[ÅÊ¡ &A¡[i¡ [šø\³
resistance 4 Ω and length 1 m. It is ‡à¹à ÎõÊ¡ >è¸>t¡³ W塸[t¡ìA¡àìo¹ ³à>
connected to a cell of e.m.f. 2 V and
[A] 90°
internal resistance 1 Ω. The potential
[B] 30°
across the potentiometer is
[C] 45°
1 m íƒìQ¢¸¹ &A¡[i¡ ëšàìi¡>[Î*[³i¡àì¹¹ ë¹à‹ ¡4 Ωú [D] 60°
ëšàìi¡>[Î*[³i¡à¹[i¡ 2 V t¡[Øl¡;W¡àºA¡ ¤º &¤} 1 Ω 16. A convex lens with a focal length of
"®¡¸”z¹ão ë¹à‹ [¤[ÅÊ¡ t¡[Øl¡; ëA¡àìÈ ™åv¡û¡ A¡¹à Òìº, 20 cm forms a real image that is twice
ëšàìi¡>[Î*[³i¡àì¹¹ ƒåÒü šøàì”z [¤®¡¤ šà=¢A¡¸ Òì¤ the size of the object. The distance of
the object from the lens is
[A] 1·6 V
20 cm ëó¡àA¡àÎ íƒìQ¢¸¹ &A¡[i¡ l¡üv¡º ëºX &A¡[i¡
[B] 4 V
¤Ññ¹ [‡P¡o "àAõ¡[t¡¹ ΃ô[¤´¬ Kk¡> A¡ì¹¡ú ëºX ë=ìA¡
[C] 1·8 V ¤Ññ[i¡¹ ƒè¹â« Òº
[D] 1·2 V [A] 30 cm
[B] 20 cm
[C] 10 cm
13. A current of 1 A is drawn by a filament
[D] 1 cm
of an electric bulb. Numbers of
electrons passing through a cross- 17. The diameter of a plano-convex lens
section of the filament in 16 s would be is 6 cm and its thickness at the
roughly centre is 3 mm. If the speed of light is
2 × 108 m/s, then the focal length of
&A¡[i¡ í¤ƒå¸[t¡A¡ ¤àì¾¹ [ó¡ºàì³ì@i¡¹ ³ì‹¸ šø¤àÒ³àyà
the lens will be
¡1 Aú [ó¡ºàì³ì@i¡¹ ³‹¸ [ƒìÚ 16 s & šø¤à[Òt¡
&A¡[i¡ γt¡ìºàv¡º ëºìX¹ ¤¸àÎ 6 cm &¤} ëA¡ì@ƒø
ÒüìºA¡i¡öì>¹ Î}J¸à ÒÚ
ÒüÒ๠뤋 3 mmú ™[ƒ "àìºà¹ K[t¡ì¤K 2 × 108
[A] 10 19 m/s ÒÚ, t¡ì¤ ëºX[i¡¹ ëó¡àA¡àÎ ƒè¹â« Òì¤
[B] 10 18 [A] 30 cm
[B] 20 cm
[C] 10 20
[C] 10 cm
[D] 10 16 [D] 5 cm
AUAT-2024 /97- A 4

18. Angle of refraction of a prism is 30°. If 22. If the wavelength of an electron and a
a ray of light falls on a surface at 60°, photon are equal, which of the
then the angle of deviation is 30°. The following will be equal?
value of angle of emergence is &A¡[i¡ ÒüìºA¡i¡ö> * &A¡[i¡ ëó¡ài¡ì>¹ t¡¹UîƒQ¢¸ γà>
ëA¡àì>à [šø\ì³¹ šø[t¡Îà¹A¡¡ ëA¡ào 30°¡ú &A¡[i¡ Òìº [>³¥[º[Jt¡ ëA¡à>[i¡ γà> Òì¤?
"àìºàA¡¹[Ƶ 60° ëA¡àìo &A¡[i¡ t¡ìº "àš[t¡t¡ Òìº, [A] Energy
W塸[t¡ ÒÚ ¡30°ú [>–ιo ëA¡àìo¹ ³à>
Å[v¡û¡
[A] 90°
[B] 30° [B] Velocity
[C] 45° ë¤K
[D] 60°
[C] Momentum
19. The velocity beam of ray in air
®¡¹ì¤K
3 × 108 m/s. Velocity of light in a
4 [D] Angular momentum
medium with refractive index 3 is

"àìºàA¡¹[Ƶ P¡ìZá¹ ¤àÚåìt¡ "àìºà¹ K[t¡ì¤K ëA¡ï[oA¡ ®¡¹ì¤K
4
3 × 108 m/s Òìº, 3 šø[t¡Î¹àS¡ [¤[ÅÊ¡ ³à‹¸ì³ 23. The frequency range at which mobile
"àìºà¹ K[t¡ì¤K Òì¤ phones operate, is
[A] 3 × 108 m/s ë³à¤àÒüº ëó¡à> A¡à\ A¡¹à¹ A¡´šàS¡ Îã³à Òº
[B] 1·755 × 108 m/s [A] 1 – 100 MHz
[C] 1·125 × 108 m/s
[B] 100 – 200 MHz
[D] 1·333 × 108 m/s
[C] 1000 – 2000 MHz
20. If the focal length of the eye-piece of a [D] 800 – 950 MHz
telescope is doubled, the magnifying
power (m) of the telescope will be 24. The lowest electron density in
m-[¤¤‹¢> ionosphere for amplification by
Û¡³t¡à ™åv¡û¡ &A¡[i¡ ƒè¹¤ãÛ¡o ™ì”|¹
skywaves of 10 MHz frequency should
"[®¡ì>ìy¹ ëó¡àA¡àÎ íƒQ¢¸ [‡P¡o A¡¹ìº ™ì”|¹ [¤¤‹¢> be
Û¡³t¡à Òì¤ 10 MHz A¡´šàìS¡¹ "àA¡àÅ t¡¹U ‡à¹à δßÎà¹ìo¹
[A] 2m \>¸ "àÚ>³r¡ìº Τ¢[>³¥ ÒüìºA¡i¡ö> Q>â« Òì¤
[B] 3m
[A] 1·2 × 1012/m3
[C] m/2
[B] 106/m3
[D] 4m
[C] 1014/m 3
21. If Planck’s constant is h, the
[D] 1022/m 3
momentum of a photon particle with a
wavelength of 0·001 nm will be 25. The frequency range of 300 MHz –
Planck-‹ø硤A¡ h Òìº, 0·001 nm t¡¹UîƒQ¢¸ 3000 MHz is attributed to
[¤[ÅÊ¡ &A¡[i¡ ëó¡ài¡> A¡o๠®¡¹ì¤K Òì¤ 300 MHz – 3000 MHz A¡´šàìS¡¹ Îã³à Òº

[A] h [A] HF
[B] 100 h [B] VHF
[C] 1000 h [C] UHF
[D] 10 12 h [D] SHF

AUAT-2024 /97- A 5 [ P.T.O.

26. Decimal value of (1·1)2 is 30. The output of an OR-gate is
connected to both inputs of a NAND-
(1·1)2 Î}J¸à[i¡¹ ƒÅ[³A¡ ³à> Òº gate. The gate function that the
cooperative will perform is
[A] 1·1
&A¡[i¡ OR-ëKìi¡¹ "àl¡üi¡šåi¡ìA¡ &A¡[i¡ NAND-
[B] 1·5
ëKìi¡¹ l¡ü®¡Ú Òü>šåìi¡¹ ÎìU Î}™åv¡û¡ A¡¹à Òº¡ú γ¤àÚ[i¡
[C] 1·0 ë™ ëKìi¡¹ A¡à™¢ δšàƒ> A¡¹ì¤ t¡à Òº
[D] 11 [A] OR
[B] NOR
27. Binary value of (39)10 is
[C] NOT
(39)10 Î}J¸à[i¡¹ ¤àÒü>à[¹ ³à> Òº
[D] NAND
[A] (100111)2
31. Which of the following gates represents
[B] (101011)2
the equation Y = A + AB ?
[C] (110111)2
Y = A + AB &Òü γãA¡¹o[i¡ [>ìW¡¹ ëA¡à>ô ëKi¡
[D] (100101)2 l¡üšÑ‚à[št¡ A¡ì¹?
[A] OR Gate
∆I
28. For a transistor, C = 0—96 . The value
∆I E [B] AND Gate
of amplification factor β is
[C] NAND Gate
∆I [D] NOR Gate
&A¡[i¡ i¡öà>[\Сàì¹¹ ëÛ¡ìy ∆I C = 0—96 Òìº,
E
šø¤àÒ [¤¤‹¢> β-&¹ ³à> Òº 32. An ideal p-n diode is reverse biased.
The value of resistance is
[A] 6

[B] 12
&A¡[i¡ "àƒÅ¢ p-n l¡àìÚàl¡ìA¡ [¤š¹ãt¡ ¤àÚàìÎ ¹àJà
ÒìÚìá¡ú ë¹à싹 š[¹³ào Òº
[C] 24
[A] ∞
[D] 36
[B] 0
29. For a good conductor, the energy [C] large
difference between conduction band
[D] small
and valence band is

&A¡[i¡ l¡üv¡³ š[¹¤àÒãìt¡ š[¹¤àÒã š[i¡ * ë™à\¸t¡à š[i¡¹ 33. Which one is semi-conductor?
³‹¸¤t¡ã¢ Å[v¡û¡ šà=¢A¡¸ ÒÚ
[>ìW¡¹ ëA¡à>[i¡ "‹¢-š[¹¤àÒã?
[A] ∞
[A] Fe2O 3
[B] 0 [B] SiO2
[C] large [C] GaAs
[D] small [D] CuO

AUAT-2024 /97- A 6

34. The current gain of a transistor is 50. 38. If V and m are the volume and mass of
If the collector and input resistances uranium, then
are 5 kΩ and 1 kΩ respectively, then
™[ƒ Òül¡üì¹[>Úà³ [>l¡ü[AáÚàìι "àÚt¡> V &¤} ®¡¹ m
the value of voltage gain
ÒÚ, t¡ì¤
&A¡[i¡ i¡öà>[\Сàì¹¹ A¡àì¹@i¡ ëK> Òº 50¡ú ™[ƒ
[A] m ∝ V
A¡àìºC¡à¹ ë¹à‹ 5 kΩ &¤} Òü>šåi¡ ë¹à‹ 1 kΩ ÒÚ,
t¡ì¤ 뮡àìÂi¡\ ëK> Òì¤ 1
[B] m ∝
V
[A] 250 [C] m ∝ V
[B] 100
[D] m ∝ V 2
[C] 200
[D] 300 39. A radioactive sample is labelled with
activity 2µCi dated 01.04.2024. If the
35. Which one is universal gate? substance has a half-life of one month,
then two months ago the activity was
[>ìW¡¹ ëA¡à>[i¡ Universal gate?
&A¡[i¡ ët¡\[ÍI¡Ú >³å>๠ëºì®¡ìº ëºJà "àìá
[A] AND Î[yû¡Út¡à 2µCi t¡à[¹J 01.04.2024¡ú šƒàì=¢¹
[B] OR "‹¢àÚå &A¡ ³àÎ Òìº, ƒåÒü ³àÎ "àìK Î[yû¡Út¡à [áº
[C] NOT [A] 8µCi
[D] NAND [B] 2µCi
[C] 1µCi
36. Which ray has the same speed as the [D] 16µCi
speed of light?

ëA¡à>ô ¹[Ƶ¹ ë¤K "àìºà¹ ë¤ìK¹ γà>? 40. _____ is used as a coolant in nuclear
reactors.
[A] γ ray
[>l¡üAáãÚ Wå¡[Àìt¡ ³@ƒ>A¡ [ÒÎàì¤ _____ ¤¸¤Ò๠A¡¹à
[B] β ray ÒÚ¡ú
[C] α ray [A] U
[D] None of the above [B] D2O
[C] Cd
37. Periodic arrangement of particles
[D] Pt
emitted in the reaction
A A A −4 A −4
Z X → Z + 1 Y → Z −1 B ∗ → Z −1 B ^ ^
41. Angle between two vectors ( i + j ) and
is
^ ^
A A A −4 A −4 ( i − k ) is
Z X → Z + 1 Y → Z −1 B ∗ → Z −1 B &Òü
[¤[yû¡ÚàÚ [>K¢t¡ A¡oàP¡[º¹ š™¢àÚyû¡[³A¡ [¤>¸àÎ Òº ^ ^ ^ ^
( i + j ) &¤} ( i − k ) 뮡C¡¹ ƒåÒü[i¡¹ ³‹¸¤t¡ã¢ ëA¡ào Òº
[A] α, β, γ
[A] 30°
[B] β, α, γ [B] 0°
[C] γ, β, α [C] 60°
[D] β, γ, α [D] 90°

AUAT-2024 /97- A 7 [ P.T.O.

45. Two particles of equal mass are
42. In the equation x = at + bt 2 , if x is in
rotating in a circular path. The ratio of
meter, t is in second, then the units of the radii of the two paths is 1 : 2. If the
a, b are centripetal force of two particles is
equal, then their velocities will be in
x = at + bt 2 γãA¡¹ìo, ™[ƒ x [³i¡àì¹ &¤} t the ratio of
ëÎìA¡ì“¡ šøA¡àÅ A¡¹à ÒÚ t¡ì¤ a, b &A¡A¡ Òì¤
γ®¡ì¹¹ ƒå[i¡ A¡oà ¤õv¡àA¡à¹ šì= "à¤t¢¡> A¡¹ìá¡ú š=
m, m
ƒå’[i¡¹ ¤¸àÎàì‹¢¹ ">åšàt¡ 1 : 2¡ú A¡oà ƒå[i¡¹ "[®¡ìA¡@ƒø
[A] ¤º γà> Òìº *샹 ë¤ìK¹ ">åšàt¡ Òì¤
s s2

m, m [A] 1 : 2
[B]
s2 s [B] 2 :1

m, m [C] 1 : 2
[C]
s s
[D] 2 : 1
m, m
[D]
s2 s2 46. A propagating wave is given by
y = 100 sin π(50t − x ) . Frequency of the
43. A particle is released from rest from a wave is
height of 20 m, with what speed will
the particle hit the ground? &A¡[i¡ W¡ºt¡¹ìU¹ γãA¡¹o Òº
y = 100 sin π(50t − x ) ¡ú t¡¹ìU¹ A¡´šàS¡ Òº
20 m l¡üZW¡t¡à ë=ìA¡ &A¡[i¡ A¡oàìA¡ [Ñ‚¹ "¤Ñ‚à ë=ìA¡
áàØl¡à Òº¡ú A¡oà[i¡ A¡t¡ ë¤ìK ³à[i¡ìt¡ "àQàt¡ A¡¹ì¤? [A] 50 Hz

[B] 100 Hz
[A] 20 m/s
[C] 5 Hz
[B] 10 m/s
[D] 25 Hz
[C] 30 m/s

[D] 9·8 m/s 47. The phase difference between two
waves of same wavelength λ is 60°.
The path difference between them is
44. Which quantity is variable for a
rotating particle in circular motion?
λ t¡¹UîƒQ¢¸ [¤[ÅÊ¡ ƒåÒü[i¡ t¡¹ìU¹ ƒÅà šà=¢A¡¸ 60°

γ¤õv¡ãÚ K[t¡ìt¡ Qèo¢>Å㺠A¡o๠ëA¡à>ô ¹à[Å[i¡ Òìº, &샹 š= šà=¢A¡¸ ÒÚ
š[¹¤t¢¡>Åãº? λ
[A]
2
[A] Angular Velocity (ëA¡ï[oA¡ ë¤K)
λ
[B]
[B] Acceleration (⫹o) 3

λ
[C] Kinetic Energy (K[t¡Å[v¡û¡) [C] 6

[D] Angular Momentum (ëA¡ï[oA¡ ®¡¹ì¤K) [D] λ

AUAT-2024 /97- A 8

48. If two tuning forks with frequencies of 52. An ideal gas does 10 J of work at
256 Hz and 260 Hz are constant temperature. The amount of
simultaneously set into vibration, heat received in this process is
what will be the beat?
&A¡[i¡ "àƒÅ¢ K¸àÎ [Ñ‚¹ l¡üÌ¡t¡àÚ 10 J A¡à™¢ A¡ì¹¡ú &Òü
256 Hz * 260 Hz A¡´šàìS¡¹ ƒå’[i¡ Îå¹ÅºàA¡àìA¡
šø[yû¡ÚàÚ ë™ š[¹³ào t¡àš KõÒãt¡ ÒÚ, t¡à Òº
&A¡ì™àìK A¡[´št¡ A¡¹à Òìº l¡ü;šÄ Ѭ¹A¡ì´š¹
[A] 10 cal
A¡´šàS¡ A¡t¡ Òì¤?
[A] 4 [B] 2·38 cal
[B] 516 [C] 0 cal
[C] 10
[D] 9·8 cal
[D] 6
53. The work done is nil in which process?
49. The mass and radius of Jupiter are
309 and 11 times respectively, those Aõ¡t¡A¡à™¢¸ Åè>¸ ÒÚ ëA¡à>ô š‡ý¡[t¡ìt¡?
of the Earth. What will be the value of
the gravitational acceleration on the [A] Isobaric
surface of Jupiter? [B] Isochoric
¤õÒÑš[t¡ KøìÒ¹ ®¡¹ * ¤¸àÎ šõ[=¤ã¹ ®¡¹ * ¤¸àìι [C] Isothermic
309 * 11 P¡o¡ú ¤õÒÑš[t¡¹ šõìË¡ "[®¡A¡È¢\ ⫹ìo¹
[D] Adiabatic
³à> A¡t¡ Òì¤?
[A] 25 m/s2 54. The ratio of r.m.s. velocities of O3 and
[B] 980 m/s2 O2 at a given temperature is
[C] 22 m/s2 &A¡[i¡ [>[ƒ¢Ê¡ t¡àš³àyàÚ O3 &¤} O2-¹ r.m.s.
[D] 30·9 m/s2 ë¤ìK¹ ">åšàt¡ Òº
50. The ideal gas equation of 4g of [A] 2: 3
hydrogen gas would be
[B] 2 : 3
4g ÒàÒüìl¡öàì\> K¸àìι "àƒÅ¢ K¸àΠγãA¡¹o Òì¤
[C] 3 : 2
[A] pV = RT
[D] 3: 2
[B] pV = 2RT
[C] pV = 4RT 55. What is the torque when a force
→ ^
[D] pV = RT F = −6 i acts on a position vector
2 → ^
r = −4 j ?
51. Which of the following expressions
does not indicate thermodynamic →
&A¡[i¡ ¤º F = −6 i^ &A¡[i¡ "¤Ñ‚à> 뮡C¡¹
state of matter? → ^
r = −4 j -&¹ l¡üš¹ [yû¡Úà A¡¹ìº i¡A¢¡ A¡ã Òì¤?
[>ìW¡¹ ëA¡à>ô ¹à[Å[i¡ šƒàì=¢¹ t¡àšKt¡ãÚ "¤Ñ‚àìA¡
[>샢ŠA¡ì¹ >à? [A] −6k
^

[A] Volume ("àÚt¡>) ^
[B] −24k
[B] Temperature (t¡àš³àyà)
^
[C] 24k
[C] Pressure (W¡àš)
^
[D] Work (A¡à™¢) [D] 4k

AUAT-2024 /97- A 9 [ P.T.O.

56. Three capacitors of 3 µF, 6 µF and 59. Resistance of a Cu wire of 3 mm radius
6 µF are connected in series. 200 V is and 31·4 cm length is 0·2 × 10–3. The
applied to this combination. Find the coefficient of resistance is
voltage drop across the 3 µF capacitor
3 mm ¤¸àÎàì‹¢¹ &¤} 31·4 cm íƒìQ¢¸¹ &A¡[i¡
in volt unit
‹àt¡¤ t¡àì¹¹ ë¹à‹ ¡0·2 × 10–3 *Òô³¡ú ‹àtå¡[i¡¹
3 µF, 6 µF &¤} 6 µF ‹à¹A¡â« [t¡>[i¡ ëÅø[o ë¹à‹àS¡ Òº
γ¤àìÚ ™åv¡û¡ A¡ì¹ t¡à샹 200 V l¡ü;ìι Îàì=
[A] 0·2 × 10–6 ohm-cm
Î}™åv¡û¡ A¡¹à Òº¡ú 뮡àÂi¡ &A¡ìA¡ *Òü 3 µF [¤[ÅÊ¡
[B] 2 × 10–6 ohm-cm
‹à¹ìA¡¹ ƒå-šøàì”z [¤®¡¤šø쮡ƒ Òì¤
[C] 1·8 × 10–6 ohm-cm
[A] 24
[D] 18 × 10–6 ohm-cm
[B] 30
[C] 40 60. Which one is used to make temporary
magnets?
[D] 60
ëA¡à>[i¡ "Ñ‚àÚã Wå¡´¬A¡ ít¡[¹ A¡¹à¹ \>¸ ¤¸¤Ò๠ÒÚ?
57. The equivalent capacitance of two [A] Al
capacitors are 2·4 µF and 10 µF, when [B] Cu
they are connected in series and [C] Ag
parallel combination, respectively.
The capacitance values of individual [D] Fe
capacitors are
61. A bar magnet is placed on a surface
ƒå’[i¡ ‹à¹ìA¡¹ ëÅø[o γ¤àìÚ t塺¸ ‹à¹A¡â« 2·4 µF perpendicular to its axis. The number
&¤} γà”z¹àº γ¤àìÚ t塺¸ ‹à¹A¡â« 10 µF ú ‹à¹A¡ of neutral points on this surface is
ƒå’[i¡¹ ‹à¹A¡â« Òº¡ &A¡[i¡ ƒr¡ Wå¡´¬A¡ìA¡ [>ì\¹ "ìÛ¡¹ º´¬®¡àì¤ ëA¡àì>à
[A] 2 µF, 10 µF t¡ìº¹ l¡üš¹ ¹àJà ÒìÚìá¡ú &Òü t¡ìº l¡üƒàÎã> [¤@ƒå¹
[B] 4 µF, 6 µF
Î}J¸à Òì¤
[A] 1
[C] 3 µF, 7 µF
[B] 2
[D] 5 µF, 5 µF
[C] 3

58. The electrical appliances used in the [D] 4
house are connected in which type of
62. Magnetic dipole moment of a rotating
combination?
electron is
¤à[Øl¡ìt¡ ¤¸¤Òê¡t¡ í¤ƒå¸[t¡A¡ ™”|šà[t¡ ëA¡à>ô γ¤àìÚ ™åv¡û¡ &A¡[i¡ "à¤t¢¡>Å㺠ÒüìºA¡i¡öì>¹ ëW¡ï´¬A¡ [‡-ë³¹ç¡ °à³A¡
=àìA¡? Òº
[A] Series combination [A] 2evr
[B] Parallel combination [B] evr

[C] Both series and parallel evr
[C]
combinations 2
evr
[D] None of the above [D]
4

AUAT-2024 /97- A 10

63. One Weber will have Maxwell’s number 67. The number of de-Broglie wavelengths
in the second Bohr orbit of a hydrogen
&A¡ *ìÚ¤àì¹ ³¸àG*ìÚ캹 Î}J¸à Òì¤ atom is
[A] 10 8
ÒàÒüìl¡öàì\> š¹³àoå¹ [‡t¡ãÚ ë¤à¹ A¡Û¡šì= ë™ Î}J¸A¡
[B] 10 6
[l¡-¤øK[º t¡¹UîƒQ¢¸ ‹ì¹ t¡à Òº
[C] 10 4
[A] 1
[D] 10 2
[B] 2
64. The self inductance of a coil is 2 mH.
[C] 3
If the current flowing through the coil
is I = t 2e −t , how long will it take to [D] 4
electromotive force be zero?

L = 2 mH Ѭàì¤ÅàS¡ [¤[ÅÊ¡ &A¡[i¡ Aå¡r¡ºãìt¡ t¡[Øl¡; 68. Light year is the unit of which of the
2 −t following?
šø¤àÒ³àyà Òº ¡ I = t e ú A¡t¡ Î³Ú šì¹
t¡[Øl¡;W¡àºA¡ ¤º Åè>¸ Òì¤? "àìºàA¡¤È¢ [>ìW¡¹ ëA¡à>[i¡¹ &A¡A¡?
[A] 1 s
[A] Time
[B] 2 s
[B] Distance
[C] 3 s
[D] 4 s [C] Volume of gas

[D] Intensity of light
65. If the rating of the circuit is 220 V-
50 Hz, find the peak voltage.
69. What is the coefficient of restitution
™[ƒ ¤t¢¡>ã¹ ëÛ¡ìy ë¹[i¡} 220 V-50 Hz ÒÚ, for a perfectly elastic collision?
t¡àÒìº ë®¡àìÂi¡ì\¹ ÅãÈ¢³à> [>o¢Ú A¡¹¡ú
šåì¹àšå[¹ [Ñ‚[t¡Ñ‚àšA¡ Î}QìÈ¢¹ \>¸ šå>¹ç¡‡ý¡àì¹¹ P¡oàS¡
[A] 300 V
[A] 0
[B] 135 V
[C] 220 V [B] 1

[D] 311 V [C] –1

[D] 100
66. The mirror used in front of the driver
to see the rear view of the car is
70. Who owned Nobel Prize in physics?
Kà[Øl¡¹ ëšáì>¹ ƒõŸ ëƒJ๠\>¸ W¡àºìA¡¹ Îà³ì> ë™
ƒš¢o ¤¸¤Ò๠A¡¹à ÒÚ, t¡à Òº ëA¡ šƒà=¢[¤ƒ¸àÚ ë>à줺 šøàÒü\ šà>?
[A] concave ("¤t¡º) [A] C V Raman
[B] plane (γt¡º) [B] Amartya Sen
[C] convex (l¡üv¡º) [C] Abhijit Binayak Bandyopadhyay
[D] hyperbola ("[‹¤õv¡àA¡à¹) [D] Venki Ramakrishnan

AUAT-2024 /97- A 11 [ P.T.O.

PART—II
( Islamic History and Culture, General English & General Knowledge )
71. The angel who brings message to the 76. Mother’s name of Prophet Jesus is
prophets is >¤ã #Îà ("à.)-&¹ ³àìÚ¹ >à³
>¤ã샹 [>A¡i¡ ë™ ëó¡ì¹Åt¡à 'Åã šøt¡¸àìƒÅ [>ìÚ
[A] Eve
"àìÎ> [t¡[> Òìº>
[B] Sara
[A] Jibreel
[C] Hajera
[B] Malaika
[C] Mikhail [D] Mariam
[D] Munkar
77. Lunar year is of _____ days.
72. Muslims greet saying W¡à@ƒø¤;ι _____ [ƒì> ÒÚ¡ú
³åÎ[º³¹à A¡ã ¤ìº ǡ쮡Záà `¡àš> A¡ì¹>? [A] 354
[A] Inshallah [B] 365
[B] Mashaallah
[C] 366
[C] Subhanallah
[D] 374
[D] As-salamu alaykum

78. Muslims prefer to break their fast with
73. The first man, according to Islam, is
Òüκೠ">åÎàì¹ šø=³ ³à>åÈ Òìº> ³åÎ[º³¹à A¡ã [ƒìÚ ë¹à™à Î³àœ¡ A¡¹ìt¡ šá@ƒ A¡ì¹>?
[A] Noah [A] apple
[B] Adam [B] honey
[C] Idrees [C] dates
[D] Seesh [D] banana

74. Muslims around the world pray facing
79. Hajj is performed in the city of
towards
[¤ìÅ«¹ ³åÎ[º³¹à ëA¡à>ô "[®¡³åìJ šøà=¢>à A¡ì¹? Ò\ šà[ºt¡¡ ÒÚ _____ ÅÒ칡ú
[A] west [A] Jerusalem
[B] east [B] Morocco
[C] Kaaba [C] Madinah
[D] Al-Aqsa [D] Makkah

75. Father of Hazrat Muhammad (PBUH)
80. Al-Siddiq was the honorific title of
died
"àÎ-[Î[„A¡ A¡à¹ Îà´¶à[>A¡ >à³ [áº?
Ò™¹t¡ ³åÒà´¶ƒ (Îà.)&¹ [št¡à š¹ìºàA¡ K³> A¡ì¹>
[A] Abu Bakr
[A] before his birth
[B] soon after his birth [B] Abu Ubaida
[C] after he grew up [C] Abu Talha
[D] after getting prophethood [D] Abu Hurairah

AUAT-2024 /97- A 12

81. When do we pray Fajr? 86. During which month, do Muslims fast
from sunrise to sunset?
"à³¹à A¡J> ó¡\ì¹¹ >³à\ š[Øl¡?
ëA¡à>ô ³àìÎ ³åκ³à>¹à Îè왢àƒÚ ë=ìA¡ Î虢àÑz š™¢”z
[A] Midnight l¡üš¤àÎ A¡ì¹?
[B] Before Sunrise [A] Dhul Hijjah
[C] After Sunrise [B] Muharram
[D] At Evening [C] Ramadan
[D] Shawal
82. What is the first month of Islamic
calendar? 87. How many names known to mankind
Òüκà³ã A¡¸à캓¡àì¹¹ šø=³ ³àÎ A¡ã? does Allah (SWT) have?
"àÀàÒ Îå¤Òà>× *Úà t¡àÚàºà¹ A¡t¡P¡ìºà >à³
[A] Shawwal
³à>¤\à[t¡¹ A¡àìá š[¹[W¡t¡?
[B] Muharram
[A] 99
[C] Dhul Qadah
[B] 105
[D] Dhul Hijjah [C] 1
[D] 25
83. What are the companions of the
Prophet Muhammad (SAW) called?
88. Who built the Kaaba?
>¤ã ³åÒà´¶ƒ (Îà–)-&¹ ÎàÒà¤ã샹 A¡ã ¤ºà ÒÚ? A¡à¤à ëA¡ [>³¢à> A¡ì¹>?
[A] Imams [A] Ibrahim (AS)
[B] Sahaba [B] Ibrahim (AS) and Ismael (AS)
[C] Ansar [C] Lut (AS)

[D] Muezzin [D] Isha (AS)

89. Which prophet was born without
84. How many pillars of Islam are there?
father?
Òüκàì³¹ Ñz´± A¡Ú[i¡? ëA¡à>ô >¤ã [št¡à áàØl¡à \@µKøÒo A¡ì¹[áìº>?
[A] One [A] Isha (AS)
[B] Two [B] Hud (AS)
[C] Three [C] Yahya (AS)

[D] Five [D] Zakariya (AS)

90. Which tool did Ibrahim (AS) use to
85. On what day, will the day of
destroy the idols?
Judgement be established?
Òü¤øà[Ò³ ("à–) ³è[t¢¡ ‹Œ}Î A¡¹à¹ \>¸ ëA¡à>ô Òà[t¡Úà¹
[¤W¡à¹ [ƒ¤Î ëA¡à>ô [ƒì> šø[t¡[Ë¡t¡ Òì¤?
¤¸¤Ò๠A¡ì¹[áìº>?
[A] Friday
[A] Hammer
[B] Saturday [B] Axe
[C] Sunday [C] Fire
[D] Monday [D] Stone

AUAT-2024 /97- A 13 [ P.T.O.

91. Tamal’s parents were pleasantly 96. Which country is known as the ‘Land
surprised when he turned over a new of the Rising Sun’?
leaf and started taking his studies
seriously. The meaning of the
ëA¡à>ô ëƒÅìA¡ ‘l¡üƒãÚ³à> Îè왢¹ ëƒÅ’ ¤ºà ÒÚ?
underlined expression is [A] China
[A] to reform and begin afresh [B] South Korea
[B] to come out of difficulties [C] Japan
[C] to ignore all troubles [D] Thailand
[D] to emerge safety out of danger
97. Who invented the telephone?

92. Choose the correct meaning of the ëi¡[ºìó¡à> ëA¡ "à[¤ÍHþ๠A¡ì¹ìá>?
underlined homograph in the following [A] Thomas Edison
sentence :
[B] Alexander Graham Bell
The cabinet is too strong to be
overthrown this time. [C] Nikola Tesla
[A] Cupboard [D] Isaac Newton
[B] Committee of Ministers
98. What is the largest organ in the
[C] Container
human body?
[D] Case
³à>¤ìƒìÒ¹ ¤õÒv¡³ "U ëA¡à>[i¡?
93. Fill in the blank with the appropriate [A] Heart
preposition. [B] Liver
Every morning, I take the bus _____ [C] Brain
office.
[D] Skin
[A] for
[B] at 99. Which State has the longest coastal
line in India?
[C] to
[D] on
®¡à¹ìt¡¹ ëA¡à>ô ¹àì\¸ ΤìW¡ìÚ ƒãQ¢ l¡üšA衺ì¹Jà
¹ìÚìá?
94. The word nearest in meaning to [A] Gujarat
‘JOYOUS’ is [B] Kerala
[A] ecstatic [C] Karnataka
[B] active [D] West Bengal
[C] charming
[D] inclined 100. Which is the smallest country in the
world?
95. The study of humans is called šõ[=¤ã¹ Û塉t¡³ ëƒÅ ëA¡à>[i¡?
[A] Anthropology [A] Vatican City
[B] Gynaecology [B] Bhutan
[C] Anatomy [C] Nepal
[D] Biology [D] Sri Lanka

AUAT-2024 /97- A 14

SPACE FOR ROUGH WORK

AUAT-2024 /97- A 15 [ P.T.O.

SPACE FOR ROUGH WORK

AUAT-2024 /97- A 16 NNN24(119)—60×4

Entrance Exams
Agricultural Entrance Exams
Architecture Entrance Exam
Arts and Humanities Entrance Exams
Commerce Entrance Examinations
Common Entrance Examinations
Computer Application Entrance Exams
Design Entrance Exams
Education Entrance Exams
Engineering Entrance Exams
Hotel Management Entrance Exams
Law Entrance Exams
MBA Entrance Exams
Media & Journalism Entrance Exams
Medical Entrance Exams
Nursing Entrance Exams
Pharmacy Entrance Exams
Science Entrance Exams
Diploma & Polytechnic
Lateral Entry