The radius of the earth is R and acceleration due to gravity at its surface is 'g'. If a body of mass 'm' is sent to a height of R/4 from the earth's surface, the potential energy is:
mgR/3
mgR/4
4mgR/5
mgR/16
A
mgR/3
B
mgR/4
C
4mgR/5
D
mgR/16
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Solution
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We know that,
g=GMR2u=GMm(R+R4)⇒u=4GMm5Ru=4GMm5R
⇒u=4mgR5
Then,
Option C is correct answer.
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