Magnetic Effects of Current and Magnetism: JEE Main 2026 Physics question

A small cube of side 1 mm is placed at the centre of a circular loop of radius 10 cm carrying a current of 2 A. The magnetic energy stored inside the cube is $\alpha\times10^{-14}$ J. The value of $\alpha$ is ________. ($\mu_0=4\pi\times10^{-7}$ Tm/A, $\pi=3.14$)