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

Options

A. `203 nm`
B. `95 nm`
C. `80 nm`
D. `73 nm`

Answer

B

Explanation

In the emittion spectrum `10` lines are observed, so the energy level `n` to which the sample has been excited after absorbing the radiation is given by
`(n (n - 1))/(2) = 10`
`"which given"` `n = 5`
so, `(h c)/(lambda) = 13.6 (1 - (1)/(5^(2))) eV`
`(1242)/(lambda) eV- nm = 13.6 xx (24)/(25) eV`
`:. lambda = 95 nm`