AMUEEE Previous Year Question

Can you please give here the sample question paper of the AMUEEE (AMU Engineering Entrance examination) of the Aligarh Muslim University?

[Kiran Chandar]

As you want I am here giving you sample question paper of the AMUEEE (AMU Engineering Entrance examination) of the Aligarh Muslim University.

Sample paper :

Question 1

The length of a simple pendulum is about 100 cm known to an accuracy of 1 mm. It’s period of oscillation is 2 s determined by measuring the time for 100 oscillations using a dock of 0.1 s resolution. What is the accuracy in the determined value of g? A 0.2%
B 0.5%
C 0.1%
D 2%
Question 2

How far must you travel in degrees of latitude until your watch must be reset by 2 h?A 150
B 300
C 450
D 60O
Question 3

A train is approaching with velocity 25 m/s towards a pedestrian standing on track, frequency of horn of train is 1 kHz. Frequency heard by the pedestrian is (v = 350 m/s)A 1077 Hz
B 1167Hz
C 985 Hz
D 945 Hz
Question 4

The energy (E), angular momentum (L) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planck’s constant (h) isA zero
B —1
C 5/3
D 1
Question 5

Two srnngs A and B are slightly our tune and produces beats of frequency 5 Hz. Increasing the tension in B reduces the beat frequency to 3 Hz. If the frequency of string A is 450 Hz, calculate the frequency of string B.A 460 Hz
B 455 Hz
C 445 Hz
D 440 Hz
Question 6

A string that is stretched between fixed supports separated by 75.0 cm has resonant frequencies of 420 Hz and 315 Hz, with no intermediate resonant frequencies. What is the lowest resonant frequency?A 250 Hz
B 317 Hz
C 180 Hz
D 105 Hz
Question 7

A charge situated at a certain distance along the axis of an electric dipole experiences a force F. If the distance of the charge from the dipole is doubled, the force acting on it will becomeA 2F
B F/2
C F/4
D F/8
Question 8

A man walks for 2 s at speed of 2.5 m/s and then runs for 4 s at a speed of 3.5 m/s. What is the average speed ?A 3.05 m/s
B 2.75 m/s
C 3.16 m/s
D 3.25 m/s
Question 9

A force of 200 N acts tangentially on the rim of a wheel 25 cm in radius. Find the torque.A 5O Nm
B 150 Nm
C 75 Nm
D 30 Nm
Question 10

A river of salty water is flowing with a velocity 2 rn/s. If the density of the water is 1.2 g/cc, then the kinetic energy of each cubic metre of water is A 2.4J
B 2.4 kJ
C 24J
D 4.8 kJ
Question 11

A resonance pipe is open at both ends and 30 cm of its length is in resonance with an external frequency 1.1 kHz. If the speed of sound is 330 m/s, which harmonic is in resonance?A First
B Second
C Third
D Fourth
Question 12

Suppose 4.0 mol of an ideal gas undergoes a reversible isothermal expansion from volume V1 to volume V2 = 2.0 V1 at temperature T = 400 K. Find the entropy change of the gas. (Take 1n 2= 0.693)A 23.0 J/K
B 42.0 J/k
C 51.6 J/K
D 56.9 J/K
Question 13

The escape velocity of a projectile on the earth’s surface is 11.2 km s1. A body projected out with thrice this speed. The speec of the body far away from the earth will beA 22.4kms1
B 31.7 kms1
C 33.6 km s1
D None of these
Question 14

A car is travelling at 72km/h and is 20 m from a barrier when the driver puts on the brakes. The car hits the barrier 2 s later. What is the magnitude of the constant deceleration?A 7.2 m/s2
B 10 m/s2
C 36 m/s
D 15 m/s
Question 15

Focal length of objective and eyepiece of telescope are 200 cm and 4 cm respectively. What is length of telescope for normal adjustment? A 196cm
B 204 cm
C 250 cm
D 225 cm
Question 16

A ball is dropped from a height h on a floor of coefficient of restitution e. The total distance covered by the ball just before second hit isA h(1 — 2e2)
B h(1 + 2e2)
C h(1+e2)
D he2
Question 17

Calculate the ratio of rms speeds of oxygen gas molecules to that of hydrogen gas molecules kept at the same temperature.A 1:4
B 1:8
C 1:2
D 1:6
Question 18

A sample of gas expands from an initial pressure and volume of 10 Pa and 1.0 m3 to a final volume of 2.0 m3. During the expansion, the pressure and volume are related by the equationp = aV2, where a = 10 N/m. Find the work done by the gas during the expansion.A 23J
B 18J
C 9J
D 43J
Question 19

A body moves along a circular path of radius 10 m and the coefficient of friction is 0.5. What should be its angular velocity in rad/s, if it is not to slip from the surface ? (g = 9.8 ms2)A 5
B 10
C 0.1
D 07
Question 20

A 80 kg person is parachuting and is experiencing a downward acceleration of 2.8 m/s2 The mass of the parachute is 5 kg. The upward force on the open parachute is (Take g 9.8 m/s2)A 595N
B 675N
C 456 N
D 925 N
Question 21

Two lenses of power 3D and — 1D are kept in contact. What is focal length and nature of combined lens?A 50 cm, convex
B 200 cm, convex
C 50 cm, concave
D 200 cm, concave
Question 22

Two particles A and B initially at rest, move towards each other, under mutual force of attraction. At an instance when the speed of A isv and speed of B is 2v, the speed of centre of mass (CM) isA zero
B v
C 2.5v
D 4v
Question 23

Avalanche breakdown in a pn junction diode is due toA sudden shift of Fermi level
B increase in the width of forbidden gap
C sudden increase of impurity concentration
D cumulative effect of increased electron collision and creation of added electron hole pairs
Question 24

A particle of mass 40 mg and carrying a charge 5 x 1O9 C is moving towards a fixed charge of magnitude 108 C. When it is at a distance of 10 cm from the fixed charge, it has a velocity of 50 cm/s. At what distance from the fixed charge will the particle come momentarily to rest?A 1.3x103m
B 1.9x103m
C 3.9x102m
D 4.7x102m
Question 25

A long hollow copper tube carries a current I. Then, which of the following will be true?A The magnetic field B will be zero at all points inside the tube
B The magnetic field B will be zero only at points on the axis of the tube
C The magnetic field B will be maximum at points on the axis of the tube
D The magnetic field will be zero at any point outside the tube