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The electron in a hydrogen atom make a ...

The electron in a hydrogen atom make a transition `n_(1) rarr n_(2)` where `n_(1) and n_(2)` are the principal quantum number of the two states . Assume the Bohr model to be valid . The time period of the electron in the initial state is eight time that in the final state . The possible values of `n_(1) and n_(2)` are

A

`n_(1) = 4, n_(2) = 2`

B

`n_(1) = 8, n_(2) = 2`

C

`n_(1) = 8, n_(2) = 1`

D

`n_(1) = 6, n_(2) = 2`

Text Solution

Verified by Experts

The correct Answer is:
A
`T prop n^(3)`. Given `T_(n1) = 8T_(n2)`, hence `n_(1) = 2n_(2)`
Therefore, option (a) and (d) both are correct.
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