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  1. Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio
    1. 2 : 1
    2. 1 : 2
    3. 2 : 1
    4. 1 : √2
Correct Option: D

K =
⇒ L² = 2KI ⇒ L = √2 KI
2I

L1
= √
KI
-
Il
= √
K
-
I
=
1
L2K2I2K2I2

L1 : L2 = 1 : √2



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