JEE Advance 2025 Paper 1

Electron in $n=3$   orbit of H-like atom. Neutron with same de Broglie wavelength has thermal energy $k_{B}T$  . If $T = \frac{Z^{2}h^{2}}{\alpha\pi^{2}a_{0}^{2}m_{N}k_{B}}$  , find $\alpha$  .