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Q.

The ratio of the K.E. required to be given to the satellite to escape earth's gravitational field to the K.E. required to be given so that the satellite moves in a circular orbit  just  above earth atmosphere is

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a

one

b

two

c

half

d

infinity

answer is B.

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Detailed Solution

K.E. is required for satellite to escape from earth's gravitational field 12mve2=12m2GMR2=GMmRK.E. required for satellite to move in circular orbit12mv02=12mGMR2=GMm2RThe ratio between these two energies = 2
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The ratio of the K.E. required to be given to the satellite to escape earth's gravitational field to the K.E. required to be given so that the satellite moves in a circular orbit  just  above earth atmosphere is