Physics - Rotation Question with Solution | TestHub

Two rigid bodies $A$ and $B$ rotate with rotational kinetic energies $E_A$ and $E_B$ respectively. The moments of inertia of $A$ and $B$ about the axis of rotation are $I_A$ and $I_B$ respectively. If $I_A=\frac{I_B}{4}$ and $E_A=100=E_B$, the ratio of angular momentum $\left(L_A\right)$ of $A$ to the angular momentum $\left(L_B\right)$ of $B$ is