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Q.

A spherical planet far out in space has a mass M0 and diameter  D0. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity which is equal to

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a

GM0/D02

b

4mGM0/D02

c

4GM0/D02

d

GmM0/D02

answer is C.

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Detailed Solution

g=GMR2=GM0(D0​/​2)2=4GM0D02
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A spherical planet far out in space has a mass M0 and diameter  D0. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity which is equal to