If g is acceleration due to gravity on earth’s surface, gain in potential energy of object of

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7.Gravitation

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If $g$ is the acceleration due to gravity on the earth’s surface, the gain in the potential energy of object of mass $m$ raised from the surface of the earth to a height equal to the radius $R$ of the earth is

A

$mgR$

B

$\frac{1}{2}mgR$

C

$2 mgR$

D

$\frac{1}{4}mgR$

(AIEEE-2004) (IIT-1983)

Solution

(b) $\Delta U = \frac{{mgh}}{{1 + \frac{h}{R}}} = \frac{1}{2}mgR\,\,(\,\,\,h = R)$

Standard 11

Physics

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