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Question

A body is projected vertically upwards from the surface of a planet of radius R with a velocity equal to half the escape velocity for that planet. The maximum height attained by the body is


A

R/3

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B

R/2

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C

R/4

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D

R/5

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Solution

The correct option is A

R/3


If body is projected with velocity v v<ve then height up to which it will rise, h=Rv2ev21
v=ve2(given) h=R(veve2)21=R41=R3


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