A particle of mass m is describing a circular path of radius r with uniform speed. If L is the angular momentum of the particle about the axis of the circle, the kinetic energy of the particle is given by
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a
L2/mr2
b
L2/2mr2
c
2L2/mr2
d
mr2L
answer is B.
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Detailed Solution
The angular momentum L is given byL=mvr or v=L/mr K.E. =12mv2=12mL2/m2r2=L2/2mr2