Q.

A body is projected up from the surface of the earth with a velocity equal to 3/4th of its escape velocity. If R be the radius of earth, the height it reaches is :

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a

3R/10

b

9R/7

c

8R/5

d

9R/5

answer is B.

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Detailed Solution

By conservation of mechanical energy−GMmR+12m342GMR2=−GMmR+h+0⇒h=97R
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