A solid sphere is rotating in space. If the r | vedclass

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(B) According to the law of conservation of angular momentum,if no external torque acts on the system,the angular momentum $(L)$ remains constant.$1$.

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Angular momentum

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(B) According to the law of conservation of angular momentum,if no external torque acts on the system,the angular momentum $(L)$ remains constant.$1$. Moment of inertia $(I)$: For a solid sphere,$I = \frac{2}{5}mr^2$. As the radius $(r)$ increases,the moment of inertia $(I)$ increases.$2$. Angular momentum $(L)$: Since there is no external torque,the angular momentum $(L = I\omega)$ remains constant.$3$. Angular velocity $(\omega)$: Since $L = I\omega$ is constant and $I$ increases,the angular velocity $(\omega = L/I)$ must decrease.$4$. Rotational kinetic energy $(K_{rot})$: The rotational kinetic energy is given by $K_{rot} = \frac{L^2}{2I}$. Since $L$ is constant and $I$ increases,the rotational kinetic energy decreases.Therefore,the angular momentum remains unchanged.

$A$ solid sphere is rotating in space. If the radius of the sphere is increased while keeping its mass constant,which of the following physical quantities will not change?

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