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Question

A body of mass m is taken from the earth's surface to the height equal to twice the radius R of the earth. The change in potential energy of the body will be -

A
13mgR
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B
2mgR
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C
23mgR
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D
3mgR
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Solution

The correct option is C 23mgR
The gravitational potential energy at a point, on or above the earth's surface, is given by,

U=GMmr
Here, r is the distance of the mass m from the centre of earth.

ΔU=UfUi

=GMmR+2R(GMmR)

=GMmR(113)

=23mgR

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, (C) is the correct answer.

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