\(L=\%\)

\(K=\frac{1}{2} l \omega^2\)

\(2 K=\frac{1}{2} I^{\prime}\left(\frac{\omega}{2}\right)^2\)

\(\frac{1}{2}=\frac{I}{I^{\prime}}(4)\)

\(I^{\prime}=8 I\)

\(L^{\prime}=(8 I)\left(\frac{\omega}{2}\right)=4 / \omega\)

\(\Rightarrow L^{\prime}=4 L\)