A sample of hydrogen atom is in excited state (all the atoms ). The photons emitted from this sample are made to pass through a filter through which light having wavelength greater than `800 nm` can only pass. Only one type of photons are found to pass the filter. The sample's excited state initially is `[Take h c = 1240 eV -nm `, ground state energy of hydrogen atom `= - 13.6 eV]`.

Options

A. Fifth excited state
B. Fourth excited state
C. third excited state
D. Second excited state

Answer

C

Explanation

Through filter , only those photon will pass through whose energy is less then `E = (h c)/(800 n m) = 1.55 eV`.
From hydrogen's energy level diagram , we can easily identify that when electron jumps from `3 ^(rd)` excited state `(4 ^(th) `energy level ) to `2 ^(nd)` excited state.