A gas of hydrogen like ions is prepared in a particular excited state A. if emit photons having wavelength equal to the wavelength of the first line of the lyman series together with photons of five other wavelength identify the gas and find the principal quantum number of the state `A`

Answer

D

Explanation

(a) The gas emits 6 wavelengths, let it be in `n^th` excited state.
implies `(n(n-1))/(2) = 6`
implies ` n=4`
:. The gas is in `4^th` excited state
(b) Total number of wavelengths in the transition is 6.
We have `(n(n-1))/(2) = 6`
implies `n=4`