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A particle of given mass is moving in a circular path of radius ‘r’ with kinetic energy K. If radius of circular path is reduced to r/2 keeping the angular momentum constant, the final kinetic energy of the particle will be

a
K/2
b
2K
c
K/4
d
4K

detailed solution

Correct option is D

mvr=L  ⇒   v=L/mr∴     K=12  mv2 = 12  m Lmr2 = L22mr2So, for constant angular momentum,   K   ∝  1r2∴   K'K=r2r/22=4        ⇒    K'=4K.

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