XI_physics_gravitation_8 Online Test

The ratio of the radii of planets A and B is  and ratio of acceleration due to gravity on them is . The ratio of escape velocities from them will be _____.
The radius of a planet is  of earth’s radius and its acceleration due to gravity is double that of earth’s acceleration due to gravity. How many times will the escape velocity at the planet’s surface be as compared to its value on earth’s surface?
2
A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take  _____.
6.67 ( 10–9 J
6.67 ( 10–10 J
13.34 ( 10–10 J
3.33 ( 10–10 J
The ratio of SI units to CGS of the gravitational intensity is ____.
103
infinity
zero
102
Consider the earth to be a homogeneous sphere. Scientist A goes deep down in a mine and scientist B goes up high in a balloon. The gravitational field measured by ____.
A goes on decreasing and that by B goes on increasing
B goes on decreasing and that by A goes on increasing
each remains unchanged
each goes on decreasing
The universal law of gravitation was postulated by ____.
Copernicus
Newton
Galileo
Archimedes
If the mass and the radius of the earth are doubled, then the escape velocity from its surface will become
two-fold
four-fold
eight-fold
remain unchanged
The escape velocity of an object from the surface of earth is about
2.5 km/s
5.5 km/s
11.2 km/s
7.8 km/s
The gravitational field due to a mass distribution is  in the x-direction. (K is a constant). Taking the gravitational potential to be zero at infinity, its value at a distance x is _____.
K/x
K/2x
The kinetic energy needed to project a body of mass m from the earth surface (radius R) to infinity is _____.
mgR/2
2 mgR
mgR
mgR/4
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