An excited hydrogen atom emits a photon of wavelength `lambda` in returning to the ground state. If 'R' is the Rydberg's constant, then the quantum number 'n' of the excited state is:

Options

A. `sqrt(lambdaR)`
B. `sqrt(lambdaR-1)`
C. `sqrt((lambdaR)/(lambdaR-1))`
D. `sqrt(lambdaR(lambdaR-1))`

Answer

C

Explanation

`1/(lambda)=Rxx[1/(1^(2))-1/(n^(2))]`
`1/(R lambda)=1-1/(n^(2))`
`1/(n^(2)) =1-1/(lambdaR) =(lambdaR-1)/(lambdaR)`
`n=sqrt((lambdaR)/(lambdaR-1))`