Gravitation Questions

The ratio of the mass of two planets is 2 : 3 and ratio of their radii is 3 : 2. The ratio of acceleration due to gravity on these planets is:

What is the change in potential energy (in calories) of a 10 kg mass after 41.8 m fall ?

The graph showing the variation of gravitational potential of Earth with distance from the centre of Earth is

Which of the following is true for a planet moving around the sun?

A particle falls on earth : (i) from infinity (ii) from a height 10 times the radius of earth. The ratio of the velocities gained on reaching at the earth's surface is

If the breaking strength of a rope is 4/3 times the weight of a person, then the maximum acceleration with which the person can safely climb up the rope is (g = acceleration due to gravity)

A planet has double mass of earth and same density. Weight of object becomes:

If the angular velocity of the earth's spin is increased such that bodies at equator start floating, the duration of the day would be approximately:

At what altitude above the Earth's surface does the acceleration due to gravity diminish by exactly 3% of its surface value? (R = 6400 km, h ≪ R)

If the total energy of a satellite is negative. It means:

Gravitational field at distance Re/4 inside earth is:

If gravitational force varies as R^(-3/2), time period varies as:

If distance of moon from earth becomes three times, lunar month becomes:

If total energy of a satellite is negative, then orbit is:

Work required to move a 2 kg mass from surface of earth to height 4x is:

A planet sweeps areas A1, A2, A3 in 3, 6 and 2 days respectively. The relation is:

For a satellite with kinetic energy K, potential energy U and total energy E, the value of (K+U+E)/(K−U) is:

Change in gravitational potential energy from surface to height 3R is:

The depth d at which g becomes 1/4 of value at height R is:

Two particles of equal mass m go round a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle is:

The height at which acceleration due to gravity becomes 1/9 times of its value on the surface of earth will be: (R is the radius of earth)