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A hydrogen atom ia in excited state of ...

A hydrogen atom ia in excited state of principal quantum number `n` . It emits a photon of wavelength `lambda` when it returnesto the ground state. The value of `n` is

A

`sqrt(lambdaR(lambdaR-))`

B

`sqrt((lambdaR)/((lambdaR-1)))`

C

`sqrt((lambdaR-1)/(lambdaR))`

D

`sqrt(1/(lambdaR(lambdaR-1)))`

Text Solution

Verified by Experts

The correct Answer is:
B

form `1/lambda=R(1/(1^(2))-1/(n^(2)))`
`R/(n^(2))=R-1/lambda=(lambdaR-1)/lambda`
`n=sqrt((lambdaR)/((lambdaR-1)))`
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