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Questions  

Two bodies have their moments of inertia I and 2 I respectively about their axis of rotation' If their kinetic energies of rotation are equal, their angular momenta will be in the ratio

a
1 : 2
b
2 : 1
c
2:1
d
1:2

detailed solution

Correct option is D

The kinetic energy of rotation K and angular momentum L are related asK=L22I  or  L2=2KI∴ L12L72=2K1I12K2I2=KIK×(2I)=12or ,L1L2=12or ,L1:L2=1:2

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The moment of inertia (I) and the angular momentum (L) are related by the expression [J&K CET 2013]


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