An excited state of H atom emits a photon of wavelength `lamda` and returns in the ground state. The principal quantum number of excited state is given by:

Options

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

Answer

C

Explanation

`(1)/(lambda) = R ((1)/(1)-(1)/(n_(2)^(2)))`
`n_(2)^(2) = (R lambda)/(R lambda -1), n_(2) = sqrt((R lambda)/(R lambda -1))`