Explanation: The expression \( \frac{L^2}{2I} \) represents the rotational kinetic energy of a particle. Here, \( L \) is the angular momentum, and \( I \) is the moment of inertia. The rotational kinetic energy is derived from the equation \( KE = \frac{1}{2} I \omega^2 \) and substituting \( L = I \omega \), giving \( KE = \frac{L^2}{2I} \).