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Q. A particle of mass m moves in a circular orbit under the central potential field, U(r)=Cr, where C is a positive constant.
The correct radius - velocity graph of the particle's motion is :

JEE MainJEE Main 2021Work, Energy and Power

Solution:

U=Cr
F=dUdr=Cr2
|F|=mv2r
Cr2=mv2r
v21r