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Old April 14th, 2015, 04:39 PM
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Default Model paper for AMU CAT

I want to get Model paper for AMU CAT exam for doing preparation of this exam so will you please provide me that ?
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Old April 14th, 2015, 05:34 PM
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Default Re: Model paper for AMU CAT

As you want to get Model paper for AMU CAT exam for doing preparation of this exam so here I am giving you some questions of that paper:

1. N molecules each of mass m and v velocity collides with a wall of a container and
then absorbed, the pressure applied on the wall is :
(1) mNV2 (2) mNV2 (3) 2 mNV2 (4) mNV2
3 2
2. The law of far a day is obtained by conservation of :
(1) Charge (2) Energy (3) Energy and magnetic field (4) Magnetic field
3. There is a q charge placed in the centre of a cube, then the emergent flux is :
(1) q (2) q (3) q (4) q_
6∈0 8 ∈0 2 ∈0 ∈0
4. Two thin lenses are put close to each other, focal length of the combination is :
(1) less than the small focal length
(2) more than the bigger focal length
(3) equal to the arithmetical average of the focal length
(4) equal to the geometrical average of the focal length
5. A car is moving on a horizontal circular path with 10 m/s constant speed. A rigid
body is suspended from ceiling of car with a 1 m. long light rod, the angle between
rod and path is :
(1) 600 (2) 450 (3) 300 (4) zero
6. Two sources of E1 and E2 emf r1 and r2 internal, resistances, are connected in the
parallel combination, the emf of the combination is :
(1) E1E2 (2) E2r1 + E1r2 (3) E1r1 + E2r2 (4) E1 + E2
E1+E2 r1 + r2 r1 + r2 2
7. In a AC circuit R = 0 ΩΩ, XL = 8ΩΩand XC = 6ΩΩphase difference between voltage
and current is :
(1) 110 (2) 450 (3) 370(4) 120
8. Relative permeability of a medium is r and relative permittivity is ∈∈∈r then the
velocity of an electro magnetic wave is :
(1) c (2) √∈rr (3) √0t0 (4) 1
∈00 r∈r r∈r
9. Ration of radius of two soap bubbles is 2 : 1 then the ratio of their excess
pressure is :
(1) 2 : 1 (2) 4 : 1 (3) 1 : 4 (4) 1: 2
10. Ratio of sound velocities is H2 and O2 will be :
(1) 32 : 1 (2) 1 : 4 (3) 16 : 1 (4) 4 : 1
11. In which of the waves the energy is not propagated :
(1) em waves
(2) longitudional waves
(3) stationary waves
(4) transverse waves
12. A body of 2 kg. mass is moving under a force, relation between time and
displacement is x = t3 where x in meter and t in time work done in first two seconds
is : 3
(1) 1.6 J (2) 16 J (3) 160 J (4) 1600 J
13. A uniform chain of L length and M mass, two third part of chain is on a
frictionless table and one third part is vertically suspended, work done to pull the
whole chain on table, is :
(1) MgL (2) MgL (3) MgL (4) MgL
18 9 6 3
14. If the intensity and frequency of incident light is doubled then :
(1) photo electric current will become is times
(2) kinetic energy of the emitted electron will be increased and current will be 2 times
(3) kinetic energy of electrons will be 4 times
(4) the kinetic energy of electrons will be 2 times
15. A car travels half distance with 40 kmph and rest half distance with 60 kmph
then the average speed of car is :
(1) 60 kmph (2) 52 kmph (3) 48 kmph (4) 40 kmph
16. Two particle are moving with same velocities in the circular paths of r1 and r2
radius then the ratio of their centripetal forces is :
(1) r2 (2) r2 (3) r1 2 (4) r2 2
r1 √ r1 r2 r1
17. No. of electrons in the 92 U 235 nucleus is :
(1) 143 (2) 235 (3) 92 (4) zero
18. The wavelength of photon and electron is ph and e and energy (E) of the two is
same then :
(1) the difference can be obtain if E is given
(2) e>ph
(3) ph . e
(4) ph=e
19. A lift is moving with acceleration a in upward direction then the force applied by
mass m on the floor of lift will be :
(1) ma (2) m(g-a) (3) m(g+a) (4) mg
20. Two cars of m1 and m2 mass are moving in the circular paths of r1 and r2 radius,
their speed is such that they travels one cycle in the same time, the ratio of their
angular velocities is :
(1) m1r1 : m2r2 (2) 1 : 1 (3) r1 : r2 (4) m1 : m2
21. A ring of mass M, radius r is moving with angular velocity w, if another two
bodies each of mass m is placed on its diameter, the resultant angular velocity will
be :
(1) w(M + 2m) (2) w(M – 2m) (3) wM (4) wM
M (M + 2m) (m+m) (M+2m)
22. The wavelength of 1 ke V photon 1.25 x 10-9 m the frequency of Me V photon
will be:
(1) 1.24 x 1023 (2) 2.4 x 1023 (3) 2.4 x 1023 (4) 1.24 x 1015
23. Size of nucleusis of the order of :
(1) 10-13 cm (2) 10-10 cm. (3) 10-8 cm. (4) 10-15 cm.
24. If MI, angular acceleration and torque of body is I, ∝and , it is revolving with
angular velocity then :
(1) = (2) M= 1 (3) = I(4) =I
I 
25. In a uniform circular motion :
(1) both acceleration and speed changes
(2) both acceleration and speed are constant
(3) both acceleration and velocity are constant
(4) both acceleration and velocity changes
26. Ratio of average kinetic evergies of H2 and O2 at a given temp. is :
(1) 1 : 1 (2) 1 : 4 (3) 1 : 8 (4) 1 : 16
27. To make the working of a machine, free of magnetism, the cover of this machine
must be of :
(1) non magnetic substance
(2) diamagnetic substance
(3) paramagnetic substance
(4) ferro magnetic substance
28. , and r are the wavelengths of k , kand kr lines of X-ray spectrum then :
(1) >a>r (2) < B<r (3) > > r (4) = = r
29. Angular momentum of electron of H atom is proportional to :
(1) 1 (2) 1 (3) √r (4) r2
r √ r
30. MI, rotational kinetic energy and angular momentum of a body is I, E and L
then :
(1) E= L2 (2) E2= 2I (3) E = 2IL (4) L = E2
2I L 2I
31. In a diode value, the state of saturation can be obtained easily by :
(1) high plate voltage and high filament
(2) low filament current and high plate voltage
(3) low plate voltage and high plate tem
(4) high filament current and high plate voltage
32. A magnet is dropped in a long coppertube vertically, the acceleration of magnet :
(1) equal to g (2) less than g (3) zero (4) greater than g
33. Joule-second is unit of :
(1) rotational power
(2) angular momentum
(3) rotational energy
(4) torgue
34. A 3 coulomb charge enerts 3000 N force in a uniform electrical field, the
distance between two points is 1 cm. potential difference will be :
(1) 9000 V (2) 1000 V (3) 90 V (4) 10 V
35. 1000 drops, each v volt, are combined to form a big drop, then the potential of
the drop will be how many times :
(1) 1 (2) 10 (3) 100 (4) 1000
36. A plane is revoloving around the earth with 100 km./hr. speed at a earth, the
changes in the velocity as it travels half circle is :
(1) 100 √2 kmph (2) 150 kmph (3) 200 kmph (4) zero
37. 3 x 107 kg. water is initially constant and it is displaced 3 m. by applying 5 x 104
N force. Velocity of water will be (if resistance of water is zero) :
(1) 50 m/sec. (2) 0 1 m/sec. (3) 60 m/sec. (4) 1.5 m/sec.
38. In a wheat stone circuit P = Q = 10Ωand R = S = 15 Ωand G = 20 Ω. If a cell of 1.5
volt emf is used, the current drawn from the cell is :
(1) 0.021 amp (2) 0.025 amp (3) 0.060 amp (4) 0.125 amp
39. Two waves of same frequency and different amplitude, if the phase difference is /2
then the Lissajou’s figure will be :
(1) 8 shape (2) an ellipse (3) a circle (4) a straight line
40. A monoatomic gas (r = 5/3) and a diatomic gas (r= 7/5) are mixed in equal ratio then
the r of mixture will be :
(1) 3.07 (2) 1.53 (3) 1.5 (4) 1.4
41. Velocity of e.m. waves in paraffine is 2.07 x 108 m/sec. then the dielectric constant is:
(1) 2.10 (2) 1.87 (3) 1.45 (4) 1.22
42. After emission of a -particle, the nucleus :
(1) A – 4, Z – 2 (2) A,Z-1 (3) A, Z-2 (4) A + 2, Z
43. Charge on a proton is 9.6 x 107 c/kg. A proton is moving in a 1T magnetic field in 0.5
m radius circular path, the energy of proton in Mev.
(1) 16.34 (2) 12.02 (3) 8.25 (4) 4.84
44. If d2+ x = 0 then the angular frequency will be :
dx2
(1) √(2) 2 (3) (4) zero
45. Noble prize presented to Einstein for :
(1) therories of LASER
(2) photo electric effect
(3) theory of relativity
(4) theory of specific heat in solids
46. Before saturation current the ratio of plate currents at 400 v and 200 v plate voltage
is:
(1) 1 (2) 2 (3) 2√2 (4) √2
2 4
47. If I = I0 sin (t - /2) and E = E0 sin t then the power loss is :
(1) EI (2) E0I0 (3) E0I0 (4) zero
√2 2 √2
48. If the temp. of an ideal gas filled in a container is increased 10C, the increase in
pressure is 0.4%, the initial temp. of the gas is :
(1) 1200C (2) 2000K (3) 2500K (4) 2500C
49. Plate resistances of two triode values is 2KΩand 4KΩ, amplification factor of each
of the value is 400. The ratio of voltage amplifications, when used with 4kΩload
resistance, will be :
(1) 10 (2) 4/4 (3) 4/3 (4) 16/3
50. Relation between displacement x and time t is x = 2 – 5t + 6t2, the initial velocity will
be:
(1)-3 m/sec. (2) 12 m/sec. (3) 2 m/sec. (4) – 5 m/sec.
51. Focal length of a convex lens is 16 cm. it is dipped in water. The refractive indices of
the substance of lens and water are 1.5 and 1.33 resp., now the focal length will be :
(1) 64 cm. (2) 18 cm. (3) 24.24 cm. (4) 16 cm.
52. In a half wave rectifier circuit, the input signal frequency is 50 Hz, the the output
frequency will be :
(1) 25 Hz (2) 50 Hz (3) 200 Hz (4) 100 Hz
53. In the following circuit :
B A P
C D Q
(1) the loop will be displaced along the length of wire
(2) PQ unchanged
(3) the loop will repell the wire
(4) wire will attract the loop
54. In a triode the ratio of small change in plate voltage and small changes in grid
voltage is, if plate current is constant :
(1) DC plate resistance
(2) mutual conductance
(3) AC plate resistance
(4) amplification factor
55. Two particles accelerated with same voltage eneters in a uniform magnetic field
perpendicularly, the radii of the circular paths is R1 and R2, the charge on particles is
same the ratio of m1 is :
2 m2 2
(1) R2 (2) R2 (3) R1 (4) R1
R1 R1 R2 R2
56. Light Velocity in diamond is ( = 2.0)
(1) 60 x 1010 cm/sec.
(2) 2 x 1010 cm/sec.
(3) 3 x 1010 cm/sec.
(4) 1.5 x 1010 cm/sec.
57. If Arsenic is dopped to silicon then its conductivity :
(1) becomes zero
(2) unchanged
(3) increases
(4) decreases
58. Two condensers of c and 2c capacity are connected in parallel and these are charged
upto v volt. If the battery is removed and dielectric medium of k constant is put between
the plates, then the potential at each condenser is :
(1) v (2) 2+ k (3) 2v (4) 3v
k + 2 3v k + 2 k+2
59. Equation of wave is y = 15 x 10-2 sin (300t – 100x) where x in meter and t in sec. the
wave velocity is :
(1) 1.5 m/sec. (2) 3 m/sec. (3) 0.5 m/sec. (4) 1 m/sec.
60. Escape velocity at the surface of earth is 11 km/sec., if radius of earth is doubled then
the escape velocity will be :
(1) 15.5 km/sec. (2) 5.5 km/sec. (3) 11 km/sec. (4) 22 km/sec.
61. Kinetic energies of two bodies of 1 kg. and 4 kg. are same, the ratio of their
momentum is :
(1) 1 : 16 (2) 1 : 2 (3) √2 : 1 (4) 4 : 1
62. A body takes 5 minute to cool from 300C to 500 C. How much time it will take to
cool from 600 C to 300 C, if room temp. is 200 C :
(1) 40 minute (2) 10 minute (3) 30 minute (4) 20 minute
63. AC voltage is v = 200 sin 300t and if R = 10Ωand L = 800 mH, peak value of current
is :
(1) 1.83 (2) 1.5 (3) 2.0 (4) .83
64. Two charges + q and – q are placed at r distance from each other. If one of the charge
is stationary and other is rotated around, work done is one circle is :
(1) kq2 (2) kq (3) kq2 (4) zero
r2 r r
65. Peak value of AC current is 4√2, RMS current is :
(1) 2√2 (2) 8 (3) 4 √2 (4) 4
66. A monoatomic gas is compressed to its 1/8th volume adiabatically (r = 5/3), the
pressure will be :
(1) 32 times (2) 40 times (3) 8 times (4) 24 times
3 5
67. A condenser is charged and then battery is removed, a dielectric plate is put between
the plates of condenser, then correct statement is :
(1) Q constant V and U decreases
(2) Q constant V increases U decreases
(3) Q increases V decreases U increases
(4) None
68. The MI of a disc wrt its diameter is I, MI wrt. And axis passing through its
circumference and parallel to diameter is :
(1) 41 (2) 61 (3) 31 (4) 51
69. Length of two wires is 0.5 m and distance between the wires is 1 m. If 1 amp.
current is passed in the wires, force per unit length between the wires is :
(1) 4 x 10-7 (2) 2 x 10-7 (3) 10-7 (4) None
70. Relation between internal energy U and absolute temp. T of an ideal gas as kinetic
theory of gases, is :
(1) U does not depends upon T
(2) U ∝T2
(3) U ∝T
(4) U ∝√T
71. Light wavelength in a glass is 6000Ǻ and refractive index is 1.5, the wavelength
of light is :
(1) 12000 Ǻ (2) 4000 Ǻ (3) 9000 Ǻ (4) 6000 Ǻ
72. Two sources of sound A & B placed near to each other produces 4 beats per second.
If A is loaded with wax then 2 beats/sec. are produced. If the frequency of A is 256 Hz,
The frequency of B will be :
(1) 262 (2) 260 (3) 252 (4) 250
73.Work done to rotate a dipole by a 900 angle, is :
(1) – PE (2) – 2 PE (3) 2PE (4) PE
74. Zener diode may be used as a :
(1) rectifier (2) oscillator (3) amplifier (4) voltage regulator
75. Wavelength of first line of Balamer series is 6561 Ǻ then the wavelength of second
line of Balmer series will be :
(1) 3500 Ǻ (2) 4860 Ǻ (3) 6561 Ǻ (4) 2430 Ǻ
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