An excited `He^(+)` ion emits photon of wavelength `lambda` in returning to ground state from `n^(th)` orbit. If R is Rydberg's constant then :

Options

A. `n=sqrt((4lambdaR)/(4lambdaR-1))`
B. `n=sqrt((4lambdaR)/(4lambdaR+1))`
C. `n=sqrt((4lambdaR-1)/(4lambdaR))`
D. `n=sqrt((4lambdaR+1)/(4lambdaR))`

Explanation

`(1)/(lambda)=Rxx2^(2)[(1)/(1)-(1)/(n^(2))]implies (1)/(lambda)=4R[(n^(2)-1)/(n^(2))]`
`(1)/(n^(2))=(4piR-1)/(4lambdaR)implies n=sqrt((4piR)/(4lambdaR-1))" "therefore" "[A]`