
(ΔE) Releases when photon going from n=5 to n=ΔE
=(13.6−0.54)eV=13.06eV

Pi=Pf (By linear momentum conservation)
0=λh−Mv=VRecoil=λMh...(1)
&\Delta E=\frac{hc}{\lambda }=\frac{hc}{\lambda M}\times M\Rightarrow Mc{V}_{\mathrm{Recoil}}
VRecoil=McΔE=1.67×10−27×3×10813.06×1.6×10−19=4.17ms−1