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
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a
1 : 2
b
2 : 1
c
2:1
d
1:2
answer is D.
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Detailed Solution
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
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