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Physics · PYQ NEET UG 2016(2)
हिन्दीTwo rotating bodies A and B of masses m and 2 m with moments of inertia \( I_A \) and \( I_B \) (\( I_B > I_A \)) have equal kinetic energy of rotation. If \( L_A \) and \( L_B \) be their angular momenta respectively, then
Correct answer · Option 4
\( L_B > L_A \)
Explanation
Rotational kinetic energy \( K = \frac{L^2}{2I} \). Since K is equal for both, \( L = \sqrt{2IK} \). Therefore, \( \frac{L_A}{L_B} = \sqrt{\frac{I_A}{I_B}} \). Since \( I_B > I_A \), we get \( L_B > L_A \).
