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Question: In the above question , what would be the angular momentum of \(H_{\gamma}\) photon if the angular m...

In the above question , what would be the angular momentum of HγH_{\gamma} photon if the angular momentum of the system is conserved

A

\hslash

B

\text{2 }\hslash

C

\text{3 }\hslash

D

\text{4 }\hslash

Answer

\text{3 }\hslash

Explanation

Solution

According to Bohr’s atomic model, angular momentum Ln=nhL_{n} = nh

If the angular momentum of system is conserved then angular momentum of emitted photon = change in angular momentum of electron corresponding to the transition from n = 5 to n = 2

L=L5L2=5h2h=3h\therefore L = L_{5} - L_{2} = 5h - 2h = 3h