Name of the Organisation : Ramakrishna Mission Vidyamandira
Exam : Admission Test
Subject: Physics
Document Type : Sample Question Paper
Website : http://vidyamandira.ac.in/links/index.html?AdmissionList?1
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Vidyamandira Physics Admission Test Question Paper
Physics (Honours) :
Date : 13-06-2016
Full Marks : 50
Time: 11·00 a.m – 12·00 noon
Related / Similar Question Paper :
Vidyamandira Chemistry Admission Test Question Paper
Instructions For The Candidate
** Answer all the questions given below.
** Each question carries 2 marks for correct answer and (–1) marks for wrong answer.
** Use separate Answer Sheet for answer your question.
Sample Question Paper
1. In the figure the equivalent resistance between A and B is
a) 12
b) 7·5
c) 8
d) 0·5
2. A particle moves in the XY plane under the influence of a force such that its linear momentum is p(t) ? A[ˆi cos(kt) ˆjsin(kt)] , where A and k are constants. The angle between the force and momentum is
a) 0°
b) 30°
c) 45°
d) 90°
3. Current I flows through a circuit in the shape of a regular hexagon of side r. The magnetic induction at the centre of the hexagon will be
5. A rectangular plate has a length (21302) cm and a width (98001) cm. The area of the plate and the uncertainty in the calculated area are
a) 2 (20874 002)cm
b) 2 (208?7 02)cm
c) 2 (208?7 03)cm
d) 2 (209 4)cm
6. A satellite of mass m moves in an elliptical orbit around the earth. The minimum distance of the satellite from the centre of the earth is rP and the maximum distance is ra. If the speed of satellite at the minimum distance is vP, its speed at maximum distance will be
7. A uniform rod of length ? and mass m is free to rotate on a frictionless pin passing through one end (shown in figure). The rod is released from rest in the horizontal position. If g is the acceleration due to gravity then its angular speed at its lowest position is given by
8. A body of mass m is moving in a circular orbit of radius r with a speed v around a massive body of mass M (M m) . If G is the gravitational constant then the total mechanical energy of the lighter body is
9. Water (density ?) is filled to a height H behind a dam of width w. If g is the acceleration due to gravity then the resultant force exerted by the water on the dam is
10. A large man of mass M and a small boy of mass m (m < M) stand facing each other on frictionless ice. They put their hands together and push against each other, as a result, the boy moves away with higher speed than the man because
a) force exerted by the man on the boy is greater than the force exerted by the boy on the man
b) the man have larger momentum than the boy
c) the boy have smaller mass than the man
d) the centre of gravity of the man is higher than the centre of gravity of the boy
11. If a wire is stretched by 2%, the percentage increase in the resistance of the wire is
a) 2%
b) 1%
c) 4%
d) none of these
12. A ray of light travelling in water is incident on its surface open to air. The angle of incidence is ? , which is less than the critical angle. Then there will be
a) only a reflected ray and no refracted ray
b) only a refracted ray and no reflected ray
c) a reflected ray and refracted ray and the angle between them would be less than (180° – 2? )
d) a reflected ray and refracted ray and the angle between them would be greater than (180° – 2? )
13. A positive charge is placed outside a neutral conducting sphere. The net charge on the sphere is then
a) negative and distributed uniformly over the surface of the sphere
b) negative and appears only at the point on the sphere closest to the point charge
c) negative and distributed non-uniformly over the entire surface of the sphere
d) zero
14. A spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume shown in the figure. The electric field inside the emptied space is
a) zero everywhere
b) uniform and non-zero
c) non-uniform
d) zero only at its centre
15. A small object of uniform density rolls up a curved surface with an initial velocity v. It reaches upto a maximum height of 2 3v 4g with respect to the initial position. If g is the acceleration due to gravity then the object is a
a) ring
b) solid sphere
c) hollow sphere
d) disc
18. A ball of mass 0·5 kg is attached to the end of a string having length 0·5m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity (in rad/ sec) of the ball is
a) 9
b) 18
c) 27
d) 36
19. Two large vertical and parallel metal plates having a separation of 1 cm are connected to a DC voltage source of potential difference X. A proton is released at rest midway between the two plates. It is found to move at 45° to the vertical just after release. Then X is nearly
a) 5 1 10 V
b) 7 1 10 V
c) 9 1 10 V
d) 10 1 10 V
20. A pendulum clock loses 12 sec a day if the temperature is 40°C and gain 4 sec a day if the temperature is 20°C. The temperature at which the clock will show correct time, and the co-efficient of linear expansion (?) of the metal of the pendulum shaft are respectively :
a) 5 25 C;1 85 10 / C
b) 4 60 C;1 85 10 / C
c) 5 30 C;1 85 10 / C
d) 2 25 C;1 85 10 / C
21. Two radioactive samples, P1 & P2 having half life 2 years and 1 year respectively have been decaying for many years. Today, the number of atoms in sample P1 is twice the number of atoms in the sample P2. Both the samples had same number of atoms
a) 8 years ago
b) 1 year ago
c) 2 years ago
d) 4 years ago
23. Imagine a light planet revolving around a very massive star in a circular orbit of radius R with a period of revolution T. If the gravitational force of attraction between the planet and the star is proportional to then square of the time period is proportional to
a) R3
b) 7 R 2
c) 3 R 2
d) 3 75 R
25. A particle P is projected with velocity u1 at an angle of 30° with the horizontal. At the same time, another particle Q is thrown vertically upwards with velocity u2 from a point vertically below the highest point of the path of P. The necessary condition for the two particles to collide at highest point is
a) u1=u2
b) u1=2u1
c) u1=u1/u2
d) u1=4u2