Two rotating bodies A and B of masses m,2m with moments of inertia lA andIB,IB>IB have equal kinetic energy of rotation. If LA and LB be their angular momenta respectively, then
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a
LA=LB2
b
LA=2LB
c
LB>LA
d
LB
answer is C.
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Detailed Solution
Here, mA=m,mB=2m Both bodies A and B have equal kinetic energy of rotation kA=kB⇒12IAωA2=12IBωB2⇒ωA2ωB2=IBIA…………(1)Ratio of angular momenta, LALB=IAωAIBωB=IAIB×IBIA [Using eqn. =IAIB<1 ∵IB>IA∴LB>LA