Monochromatic radiation of wavelength λ is incident on a hydrogen sample in ground state. Hydrogen atom absorbs a fraction of light and subsequently emits radiations of six different wavelengths. The wavelength λ is

Step-by-step solution

As H -atom emits 6 spectral lines n n - 1 2 = 6 ∴   n = 4 Δ E = E 4 - E 1 = 13 . 6 - 0 . 85 = 12 . 75   eV λ = h c ∆ E = 1242   nm 12 . 75 ∴ λ = 97 . 5   nm