question_answer

If g is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass m raised from the surface of the earth to a height equal to the radius R of the earth, is                            [AIEEE 2004]

A)  \[2\text{ }mgR\]           

B)       \[\frac{1}{2}mgR\]

C)  \[\frac{1}{4}mgR\]       

D)      \[mgR\]

Correct Answer: B

Solution :

[b] Gravitational potential energy of body on the earth's surface

At a height h from the earth's surface, its value is

where,mass of the earth,mass of body,

radius of the earth

Gain in potential energy