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Q.

A planet is moving in a circular orbit around earth. Then the minimum increase of its orbital speed for which the planet will escape to infinity is _____

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a

26.3 %

b

41.4 %

c

50 %

d

73.2 %

answer is B.

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Detailed Solution

New orbital speed must be equal to the magnitude of escape velocity at any position of the orbit.V=GMr,  V'=2GMr =2V∴   %   increase=V'−VV=2−1 ×  100%=41.4%
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