Q.
Gravitational potential on the surface of a spherical planet of radius R is V. What will be the gravitational potential on the surface of another planet of radius 2R ? Both planets are made of same material.
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a
4U
b
U2
c
2U
d
U8
answer is A.
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Detailed Solution
(1)U=−GMR=−G. 43 πR3.ρR=−4G3 πρR2∴ U'U=R'R2= 2RR2=4⇒ U' = 4U
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