Two rotating bodies have same angular momentum but their moments of inertia are I1 and I2 respectively (I1I2). Which body will have higher kinetic energy of rotation:-

Question

Two rotating bodies have same angular momentum but their moments of inertia are I1 and I2 respectively (I1>I2). Which body will have higher kinetic energy of rotation:- (A) First (B) Second (C) Both will have same rotational kinetic energy (D) Not possible to predict

Tardigrade Admin · Accepted Answer

as, K=(L2/2 I ) so, K propto (1/ I ) ∴ L is same as, I1>I2, so, K2>K1

Q. Two rotating bodies have same angular momentum but their moments of inertia are $I_{1}$ and $I_{2}$ respectively $(I_{1} > I_{2})$ . Which body will have higher kinetic energy of rotation:-

First

Second

Both will have same rotational kinetic energy

Not possible to predict

as, $K = \frac{L ^{2}}{2 I}$
so, $K \propto \frac{1}{I}$
${∴ L$ is same $}$
as, $I_{1} > I_{2}$ , so, $K_{2} > K_{1}$

Q. Two rotating bodies have same angular momentum but their moments of inertia are I1​ and I2​ respectively (I1​>I2​). Which body will have higher kinetic energy of rotation:-