Q.

The initial velocity vi required to project a body vertically upward from the surface of the earth to reach a height of 10 R, where R is the radius of the earth, may be described in terms of escape velocity ve such that vi=x11×ve.  The value of x will be 

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answer is 10.

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Detailed Solution

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GMm11R=GMmR+12mv2v=20GM11R= 10

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