A body of mass m is raised from the surface of the earth to a height nR (R-radius of earth). Magnitude of the change in the gravitational potential energy of the body is (g- acceleration due to gravity on the surface of earth) :
(nn+1)mgR
(n−1n)mgR
mgRn
mgR(n−1)
A
mgRn
B
(nn+1)mgR
C
(n−1n)mgR
D
mgR(n−1)
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Solution
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Change in P.E.=−GMm(n+1)R−(−GMmR)=(GMm(n+1)R)(−1+(n+1))
=(GMmR)(n)n+1 But g=GM/R2 or GM=gR2 Putting this value, we get Change in P.E. =mgR(nn+1)
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