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Q.

Figure shows an infinitely long fixed rod of linear mass density ‘λ’. A small mass ‘m’ is revolving around the  rod at  distance ‘d’ from the rod with a uniform speed due to the gravitational pull of the rod. The time period of revolution of ‘m’ is,

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a

2πd2Gλ

b

2πd22Gλ

c

πd22Gλ

d

πd2Gλ

answer is B.

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Detailed Solution

mv2d=2Gλmd⇒v=2Gλ1T=2πdV=2πd22Gλ
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