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In a hydrogen like atom electron make tr...

In a hydrogen like atom electron make transition from an energy level with quantum number n to another with quantum number `(n - 1)` if `n gtgt1` , the frequency of radiation emitted is proportional to :

A

`(1)/(n)`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
`(v)/(x) = (1)/(lambda) = RZ^(2)[(1)/(n_(1)^(2)) - (1)/(n_(2)^(2))]`
`:' n gtgt 1]`
` v = RCZ^(2)[(1)/(n - 1)^(2)) - (1)/(n^(2))]`
`RCZ^(2) [(2n -1)/(n^(2) (n - 1)^(2))]`
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