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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
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- 2 : 1
- 1 : 2
- √2 : 1
- 1 : √2
Correct Option: D
K = | ⇒ L² = 2KI ⇒ L = √2 KI | |
2I |
= √ | - | = √ | - | = | |||||||
L2 | K2 | I2 | K | 2I | √2 |
L1 : L2 = 1 : √2