The angular momentum of an electron in a Bohr's orbit of H-atom is 3.1652 × 1 0 − 34 kg − m 2 / sec . Calculate the wave number in terms of Rydberg constant (R) of the spectral line emitted when

Question

The angular momentum of an electron in a Bohr's orbit of H-atom is 3.1652 × 1 0 − 34 kg − m 2 / sec . Calculate the wave number in terms of Rydberg constant (R) of the spectral line emitted when an electron falls from this level to the ground state.

TestHub · Accepted Answer

​ m v r = 2 π nh ​ 3.1652 × 1 0 − 34 = 2 × 3.14 n × 6.6 × 1 0 − 34 ​ n = 3 ν ˉ = R ( n 1 2 ​ 1 ​ − n 2 2 ​ 1 ​ ) ν ˉ = R × 1 ( 1 1 ​ − 9 1 ​ ) = 9 8 R ​ ​

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