Q114 / 125 · BITSAT 2017 · Physics

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

  • Correct answer
    A
    97.5 nm
  • B
    121.6 nm
  • C
    110.3 nm
  • D
    45.2 nm

Solution

As H-atom emits 6 spectral lines nn-12=6

∴ n=4

ΔE=E4-E1=13.6-0.85

=12.75 eV

λ=hc∆E=1242 nm12.75

∴λ=97.5 nm

Hence, the correct answer is option: 'A'.

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