The work done to increase the radius of orbit of a satellite of mass ’m’ revolving around a planet of mass M from orbit of radius R in to another orbit of radius 3R is
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a
2GMm3R
b
GMm3R
c
GMm6R
d
GMm24R
answer is B.
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Detailed Solution
Work done = change in TEWorkdone=GMm21r1-1r2=GMm21R-13R∵TE=-GMm2r =GMm23-13R=GmM3R
The work done to increase the radius of orbit of a satellite of mass ’m’ revolving around a planet of mass M from orbit of radius R in to another orbit of radius 3R is