BITSAT SAMPLE PAPER BITSAT Sample Papers
BITSAT PHYSICS SAMPLE PAPER 1.
2.
A ball of mass m is attached to the lower end of a light vertical spring of force constant k. The upper end of the spring is fixed. The ball is released from rest with the spring at its normal (unstretched) length, and comes to rest again after descending through a distance x. then which is incorrect. (a) x = mg/k (b) x = 2mg/k (c) the ball will have no acceleration at the position when it has descended through x/2. (d) the ball will have an upward acceleration equal to g at its lowermost position. A particle is dropped from a height h. A constant horizontal velocity is given to the particle. Taking g to be constant everywhere, kinetic energy E of the particle w.r.t. time t is correctly shown in E
E
(a)
(b) t
3.
4.
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E
E
(c) t
(d) t
t
A uniform sphere is placed on a smooth horizontal surface and a horizontal force F is applied on it at a distance h above the surface. The acceleration of the centre (a) is maximum at h = 0 (b) is maximum when h = R (c) is maximum when h = 2R (d) is independent of h. A lead ball strikes a wall and falls down. A tennis ball having the same mass and velocity strikes the same wall and bounces back. Which is the correct statement (a) The tennis ball suffers a greater change in momentum (b) The lead ball suffers a greater change in momentum (c) Both the balls suffers equal change in momentum (d) The momentum of lead ball is greater than that of tennis ball Which one of the following is a simple harmonic motion (a) Wave moving through a string fixed at both ends (b) Earth spinning about its own axis (c) Ball bouncing between two rigid vertical walls (d) Particle moving in a circle with uniform speed Which of the following graphs correctly represents the variation of (dV/dP)/V with P for an ideal gas at constant temperature? (a) (b)
P
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P
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(c)
(d)
P
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8.
P
Two equal negative charge –q are fixed at point (0, –a) and (0, a) on y-axis. A positive charge Q is released from rest at the point (2a, 0) on the x-axis. The charge Q will : (a) execute simple harmonic motion about the origin (b) move to the origin and remain at rest (c) move to infinity (d) execute oscillatory but not simple harmonic motion The electric field due to a uniformly charged sphere of radius R as a function of the distance from its centre is represented graphically by E
E
(a)
(b) R
9.
E
E
(c) R
r
(d)
r
R
O
r
R
r
In the following figure, the charge on each condenser in the steady state will be 3
3 F
3 F
3 3
4 6
3 F
3 F
6 6
1 10V
10.
(a) 3 C (b) 6 C (c) 9 C (d) 12 C A condenser of 2 F capacitance is charged steadily from 0 to 5 Coulomb. Which of the following graphs correctly represents the variation of potential difference across its plates with respect to the charge on the condenser 6
6
V ( 10 V) 2.5
V ( 10 V)
(a)
5
(b) 5
Q
6
5
Q
5
Q
6
V ( 10 V) 5
V ( 10 V) 2.5
(c)
(d) 5
Q
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11.
12.
A wire of length L and 3 identical cells of negligible internal resistances are connected in series. Due to the current, the temperature of the wire is raised by T in a time t. A number N of similar cells is now connected in series with a wire of the same material and cross-section but of length 2L. The temperature of the wire is raised by the same amount T in the same time t. the value of N is (a) 4 (b) 6 (c) 8 (d) 9 A particle of charge q and mass m moves in a circular orbit of radius r with angular speed . The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on (a) and q (b) , q and m (c) q and m (d) and m A coil having N turns is wound tightly in the form of a spiral with inner and outer radii a and b respectively. When a current I passes through the coil, the magnetic field at the center is (a)
14.
o NI
(b)
b
2
o NI
a
(c)
(c)
a
b a
(d)
oI
N
2b a
ln
b a
N
S
(d)
S
16.
2b
ln
The magnetic field lines due to a bar magnet are correctly shown in (a) (b) N N
S
15.
o NI
N
S
A battery is connected between two pints A and B on the circumference of a uniform conducting ring of radius r and resistance R. One of the arcs AB of the ring subtends an angle at the centre. The value of the magnetic induction at the centre due to the current in the ring is: (a) proportional to (180° – ) (b) inversely proportional to r (c) zero, only if ( = 180°) (d) zero for all values of A conducting circular loop is placed inside a long solenoid carrying a current, such that the plane of loop is parallel to the axis of solenoid. If the current in the solenoid is varied, the induced current in the loop will be (a) clockwise (b) anticlockwise (c) zero (d) depends on the direction of current in solenoid
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17.
A small coil is introduced between the poles of an electromagnet so that its axis coincides with the magnetic field direction. The number of turns is n and the cross sectional area of the coil is A. When the coil turns through 180o about its diameter, the charge flowing through the coil is Q. The total resistance of the circuit is R. What is the magnitude of the magnetic induction (a)
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QR nA
(b)
2QR nA
(c)
Qn 2RA
(d)
QR 2nA
In Young’s double slit experiment, the separation between the slits is halved and the distance between the slits and the screen is doubled. The fringe width is: (a) unchanged (b) halved (c) doubled (d) quadrupled A small fish 0.4 m below the surface of a lake is viewed through a simple converging lens of focal length 3 m. The lens is kept 0.2 m above the water surface such that the fish lies on the optical axis of the lens. (Given the refractive index of water is 4/3). The image of the fish will be at a distance (a) 60 cm from the lens on the same side as the fish (b) 40 cm from the lens on the same side as the fish (c) 20 cm from the lens but on the other side of lens (i.e. not on the same side of fish) (d) infinity Spherical aberration in a thin lens can be reduced by: (a) using a monochromatic light (b) using a doublet combination (c) using a circular annular mark over the lens (d) increasing the size of the lens A diminished image of an object is to be obtained on a screen 1.0 m from it. This can be achieved by appropriate placing : (a) a concave mirror of suitable focal length (b) a convex mirror of suitable focal length (c) a convex lens of focal length less than 0.25 m (d) a convex lens of suitable focal length Magnifying power of an Astronomical Telescope for distant objects is 8. If the objective and the eye lens are at a separation 45 cm and the final image is formed at infinity, focal lengths of objective and the eye lens are (a) 40 cm, 5 cm (b) 30 cm, 3.75 cm (c) 36 cm, 4.5 cm (d) 35 cm , 10 cm A beam of light consisting of two wavelengths 650 nm and 520 nm is used to illuminate the slit of a Young’s double slit experiment. Then the order of the bright fringe of the longer wavelength that coincide with a bright fringe of the shorter wavelength at the least distance from the central maximum is (a) 1 (b) 2 (c) 3 (d) 4 In a two–slit experiment with mono-chromatic light, fringes are obtained on a screen placed at some distance from the slits. If the screen is moved by 5 10-2 m towards the slits, the change in fringe width is 3 10-5m. If the separation between the slits is 10-3 m. The wavelength of light used is (a) 6000Å (b) 5000Å (c) 4500Å (d) 3000Å
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25.
A ray of light is incident at an angle i on one surface of a prism of small angle A and emerges normally from the opposite surface. If the refractive index of the material of the prism is , the angle of incidence i is nearly equal to A A A (a) (b) (c) A (d) 2 2
26.
In an experiment to find the focal length of a concave mirror a graph is drawn between the magnitudes of u and v. The graph looks like v
v
(a)
(b) u
u
v
v
(c)
(d) u
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28.
29.
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31.
u
Beta rays emitted by a radioactive material are : (a) electromagnetic radiations (b) the electrons orbiting around the nucleus (c) charged particles emitted by the nucleus (d) neutral particles If maximum velocity with which an electron can be emitted from a photo cell is 4 10 8 cm / sec , the stopping potential is (mass of electron = 9 10–31 kg) (a) 30 volt (b) 45 volt (c) 59 volt (d) Information is insufficient During a negative beta decay: (a) a heavy nucleus breaks into two fragments by itself (b) a light nucleus bombarded by thermal neutrons breaks up (c) a neutron in the nucleus decays emitting an electron (d) a part of the binding energy of the nucleus is converted into an electron The collector plate in an experiment on photoelectric effect is kept vertically above the emitter plate. Light source is put on and a saturation photo current is recorded. An electric field is switched on which has a vertically downward direction (a) The photo current will increase (b) The kinetic energy of the electrons will increase (c) The stopping potential will decrease (d) The threshold wavelength will increase
When stopping potential is applied in an experiment of photoelectric effect, no photocurrent is observed. This means that
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(a) the emissions of photoelectrons is stopped (b) the photoelectrons are emitted but are reabsorbed by the emitter metal (c) the photoelectrons are accumulated near the collector plate (d) the photoelectrons are dispersed from the sides of the apparatus
BITSAT PHYSICS SAMPLE PAPER ANSWERS 1. 6. 11. 16. 21. 26. 31.
(a) (a) (b) (c) (C) (c) (b)
2. 7. 12. 17. 22. 27.
(a) (D) (c) (d) (a) (c)
3. 8. 13. 18. 23. 28.
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(d) (b) (c) (D) (d) (b)
4. 9. 14. 19. 24. 29.
(a) (d) (d) (a) (a) (a)
5. 10. 15. 20. 25. 30.
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(a) (a) (d) (c) (c) (b)