Q .     A body is projected vertically from the surface of the earth of radius `R` with a velocity equal to half of the escape velocity. The maximum height reached by the body is:

EAMCET 2015
A

`frac{R}{2}`

B

`frac{R}{3}`

C

`frac{R}{4}`

D

`frac{R}{5}`

HINT

By the law of conservation of energy: ` (P.E+K.E)_{Surface}=(P.E+K.E)_{Max\ He i ght}`

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