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In a hydrogen like atom electron makes t...

In a hydrogen like atom electron makes transition from an energy level with quantum number n to another with quantum number (n - 1). If `n gt gt 1,` the frequency of radiation emitted is proportional to :

A

`1/n^(2)`

B

`1/(n^(3//2))`

C

`1/n^(3)`

D

`1/n`

Text Solution

Verified by Experts

The correct Answer is:
C

`triangleE=hv`
`v=(triangleE)/(h) k[(1)/((n-1)^(2))-(1)/(n^(2))] =(k2n)/(n^(2)(n-1)^(2))`
`=(2k)/(n^(3)) alpha 1/n^(3)`
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