XI_physics_gravitation_7 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 velocity with which a projectile must be fired so that it escapes earth’s gravitation does not depend on _____.
Mass of the earth
Mass of the projectile
Radius of the projectile’s orbit
Gravitational constant
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
If the earth stops rotating, the weight of a body shall
become zero
remain unaffected
increase
decrease
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
A body is projected vertically upwards from the surface of a planet of radius R with a velocity equal to half the escape velocity for that planet. The maximum height attained by the body is _____.
R/3
R/2
R/4
R/5
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
A rocket is launched with velocity 10 km / s. If radius of earth is R, then maximum height attained by it will be _____.
2R
3R
4R
5R
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
Acceleration due to gravity would be maximum
at the centre of earth
on the surface of earth
at a height of 100 km from the surface of earth
at a depth of 100 km from the surface of earth.
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