1. For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential
energy is

a) 2

b) \[\frac{1}{2}\]

c) \[\frac{1}{\sqrt{2}}\]

d) \[\sqrt{2}\]

Explanation:

2.The value of escape velocity on a certain planet is 2 km/s. Then the value of orbital speed for a satellite orbiting close to its surface is

a) 12 km/s

b) 1 km/s

c) \[\sqrt{2} km/s\]

d) \[2\sqrt{2} km/s\]

Explanation:

3. Four particles each of mass M, are located at the vertices of a square with side L. The gravitational potential due to this at the centre of the square is

a) \[-\sqrt{32}\frac{GM}{L}\]

b) \[-\sqrt{64}\frac{GM}{L^{2}}\]

c) Zero

d) \[\sqrt{32}\frac{GM}{L}\]

Explanation:

4. There are two planets. The ratio of radius of the two planets is K but ratio of acceleration due to gravity of both planets is g. What will be the ratio of their escape velocity

a) \[\left(kg\right)^{1/2}\]

b) \[\left(kg\right)^{-1/2}\]

c) \[\left(kg\right)^{2}\]

d) \[\left(kg\right)^{-2}\]

Explanation:

5. Which one of the following statements regarding
artificial satellite of the earth is incorrect

a) The orbital velocity depends on the mass of
the satellite

b) A minimum velocity of 8 km/sec is required by
a satellite to orbit quite close to the earth

c) The period of revolution is large if the radius
of its orbit is large

d) The height of a geostationary satellite is about
36000 km from earth

Explanation: The orbital velocity depends on the mass of the satellite

6. If \[v_{e}\] and \[v_{o}\] represent the escape velocity and orbital velocity of a satellite corresponding to a
circular orbit of radius R, then

a) \[v_{e}=v_{0}\]

b) \[\sqrt{2}v_{o}=v_{e}\]

c) \[v_{e}=v_{0}\diagup\sqrt{2}\]

d) \[v_{e}\] and \[v_{0}\] are not related

Explanation:

7. If r represents the radius of the orbit of a satellite of mass m moving around a planet of
mass M, the velocity of the satellite is given by

a) \[v^{2}=g\frac{M}{r}\]

b) \[v^{2}=\frac{GMm}{r}\]

c) \[v=\frac{GM}{r}\]

d) \[v^{2}=\frac{GM}{r}\]

Explanation: \[v^{2}=\frac{GM}{r}\]

8. Select the correct statement from the following

a) The orbital velocity of a satellite increases with the radius of the orbit

b) Escape velocity of a particle from the surface
of the earth depends on the speed with which it is fired

c) The time period of a satellite does not depend on the radius of the orbit

d) The orbital velocity is inversely proportional to the square root of the radius of the orbit

Explanation: The orbital velocity is inversely proportional to the square root of the radius of the orbit

9. An earth satellite of mass m revolves in a circular
orbit at a height h from the surface of the earth. R
is the radius of the earth and g is acceleration due
to gravity at the surface of the earth. The velocity
of the satellite in the orbit is given by

a) \[\frac{gR^{2}}{R+h}\]

b) gR

c) \[\frac{gR}{R+h}\]

d) \[\sqrt{\frac{gR^{2}}{R+h}}\]

Explanation:

10.Consider a satellite going round the earth in an
orbit. Which of the following statements is wrong

a) It is a freely falling body

b) It suffers no acceleration

c) It is moving with a constant speed

d) Its angular momentum remains constant

Explanation: Centripetal acceleration works on it