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An excited hydrogen atom emits a photon ...

An excited hydrogen atom emits a photon of wavelength t while returning to the ground state. If R is the Rydberg.s constant, then the quantum number n of the excited state is

A

`sqrt(lambda R)`

B

`sqrt(lambda R-1)`

C

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

D

`sqrt(lambda R(lambda R-1))`

Text Solution

Verified by Experts

The correct Answer is:
C
`bar(upsilon) = 1/(lambda) = R(1/(n_1^2) - 1/(n_2^2))`
` implies lambda = (n^2)/(R(n^2-1)),n = sqrt((lambdaR)/(lambda R-1))`
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