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Question

A particle is projected vertically upwards the surface of the earth (radius Re) with a speed equal to one fourth of escape velocity. What is the maximum height attained by it ?

A
1615Re
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B
Re15
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C
415Re
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D
None
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Solution

The correct option is A Re15

From conservation of mechanical energy 12mv2=GMmReGMmR


where R=maximum distance from centre of the earth


Also v=14ve=142GMRe


12m×116×2GMRe=GMmReGMmR


R=1615Re


h=RRe=Re15


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