Monochromatic radiation of wavelength `lambda` is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and subsequently emit radiations of six different wavelength . Find the wavelength `lambda`.

Options

A. 97 . 5 nm
B. 121 .6 nm
C. 110.3 nm
D. 45 .2 nm

Answer

a

Explanation

As H-atom emits 6 spectral lines `(n(n-1))/(2)=6`
`thereforen=4`
`DeltaE=E_(4)-E_(1)=13.6-0.85`
`=12.75eV`
`l=(1242nm)/(12.75)`
`=97.5nm`