Physics Question from JEE Main 2026 · 24 January, Shift 1

A short bar magnet placed with its axis at $30^\circ$ with an external magnetic field of $800\,\text{Gauss}$ experiences a torque of $0.016\,\text{N m}$. The work done in moving it from most stable to most unstable position is $\alpha \times 10^{-3}\,\text{J}$. The value of $\alpha$ is _____.