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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