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

Answer

B

Explanation

`" " (1)/(lambda)=R(1-(1)/(n^(2)))`
`:. " " (R)/(n^(2))=R(1)/(lambda)=(lambdaR=-1)/(lambda)`
`:. " " n=sqrt((lambdaR)/(lambdaR-1))`