A body is projected up with a velocity equal to 3 4 t h of the escape velocity from the surface of the earth. The height it reaches from the center of the earth is

Question

A body is projected up with a velocity equal to 3 4 t h of the escape velocity from the surface of the earth. The height it reaches from the center of the earth is, 10 R / 9, 16 R / 7, 9 R / 8, 10 R / 3

MARKS App · Accepted Answer

v = 3 4 v e K . E . = 1 2 m v 2 = 1 2 m 3 4 v e 2 = 9 32 m v e 2 = 9 32 m 2 G M R 9 16 G M m R - G M m R = - G M m r r = 16 R 7

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