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Question

# A body is thrown vertically up with certain initial velocity, the potential and kinetic energies of the body are equal at a point P in its path. If the same body is thrown with double the velocity upwards, the ratio of potential and kinetic energies of the body when it crosses the same point, is :

A
1:1
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B
1:4
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C
1:7
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D
1:8
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Solution

## The correct option is C 1:7Let a point where, 12mv2=mghTotal M.E=2mghNow, when v is twiceTotal M.E=8mghNow when the ball passes through that pointK.E=8mgh−mgh =7mghP.E=mghP.E:K.E=1:7

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