The electron in a hydrogen atom makes a transition n 1 → n 2 where n 1 and n 2 are the principal quantum numbers of the two states. Assume the Bohr model to be valid. The time period of the electron i

Question

The electron in a hydrogen atom makes a transition n 1 → n 2 where n 1 and n 2 are the principal quantum numbers of the two states. Assume the Bohr model to be valid. The time period of the electron in the initial state is 8 times that in the final state. The possible values of n 1 and n 2 are

TestHub · Accepted Answer

As T = 2 π r v or V = n h 2 π m r But r ∝ n 2 ∴ T ∝ n 3 or T 1 T 2 = n 1 n 2 3 ,As T 1 = 8 T 2 ∴ n 1 n 2 3 = 8 , n 1 n 2 = 2 Therefore, in given values n 1 = 6 , n 2 = 3

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