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A particle of mass m moves in a circular orbit under the central potential field, Ur=-Cr, where C is a positive constant. The correct radius – velocity graph of the particle’s motion is:

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a

b

c

d

answer is A.

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Detailed Solution

F=−dudr=kr2 ⇒mv2r=kr2 ⇒v ∝1r ⇒r ∝ 1v2 As v increases , r decreases.

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A particle of mass m moves in a circular orbit under the central potential field, Ur=-Cr, where C is a positive constant. The correct radius – velocity graph of the particle’s motion is: