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Q.

A point P is on the axis of a fixed ring of mass M and radius R, at a distance 2R from the centre O. A small particle starts from P and reaches O under the gravitational attraction only. Its speed at O will be

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a

zero

b

2GMR

c

2GMR(5−1)

d

2GMR1−15

answer is D.

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Detailed Solution

Gravitational potential at ‘P’,vp=−GM5RGravitational potential at ‘O’,vo=−GMRUsing work energy theorem,W=ΔK⇒mvP−vO=12mv2mGMR−GM5R=12mv22GMR1−15=v
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