What is the minimum energy that must be given to an \mathrm{H} atom in ground state so that it can emit an Hy line in Balmer series? If the angular momentum of the system is conserved, what would be the angular momentum of such Hy photon?
What is the minimum energy that must be given to an \mathrm{H} atom in ground state so that it can emit an Hy line in Balmer series? If the angular momentum of the system is conserved, what would be the angular momentum of such Hy photon?

Energy required for the transition from n=1 to n=5 can be calculated as,

E=E _5-E_ 1=\left(-13.6 / 5^{2}\right)-\left(-13.6 / 1^{2}\right)=13.06 \mathrm{eV}

Angular momentum is given as change in angular momentum of electron and can be calculated as,

5(h / 2 \pi)-2(h / 2 \pi)=3 h / 2 \pi=3.17 \times 10^{-34} \mathrm{Js}.