In sample of hydrogen atoms in ground state, electron make transition from ground state to particular
excited state, where path length is four times of debroglie wavelenght . Electrons make back transition to
the ground state prouducing all possible photons.
Debroglie wavelenght of electron which is emitted from the fianl excited dtate of above hydrogen sample, when photon of 1eV collide with it

Options

A. `5sqrt2Å`
B. 82.6 nm
C. 1240 nm
D. `10sqrt10 Å`

Answer

D

Explanation

Final exicted state, `n =4, E_(4)=-0.85 eV`
K.E. of the electron after collding with photon of 1 eV`=(1-0.85) eV=0.15 eV`
`lambda=sqrt((150)/(0.15))=10sqrt(10)`