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Question: For a Lead \({}_{82}^{208}Pb\)m-mesonic atom the energy of the photon given off in the first lyman t...

For a Lead 82208Pb{}_{82}^{208}Pbm-mesonic atom the energy of the photon given off in the first lyman transition i.e. (n = 2 to n = 1)

A

11 MeV

B

14 MeV

C

18 MeV

D

20 MeV

Answer

14 MeV

Explanation

Solution

El = DE = Ei – Ef

= mz2E0 [112122]\left[ \frac { 1 } { 1 ^ { 2 } } - \frac { 1 } { 2 ^ { 2 } } \right]

= (207) (82)2 × 13.6 [112122]\left[ \frac { 1 } { 1 ^ { 2 } } - \frac { 1 } { 2 ^ { 2 } } \right]

= 19MeV × 34\frac { 3 } { 4 } = 14 MeV