Monochromatic radiation is incident on hydrogen (H) sample which is in ground state. If the hydrogen atoms emit radiation of ten different wavelengths after absorbing the incident radiation, then the…

Question

Monochromatic radiation is incident on hydrogen (H) sample which is in ground state. If the hydrogen atoms emit radiation of ten different wavelengths after absorbing the incident radiation, then the wavelength of the incident radiation is (Let hc=1242 eV- nm )

Accepted Answer

Correct answer: D. (d) Number of different wavelengths = n (n-1 )2=10 ⇒n=5 So, incident energy corresponds to n=1 to n=5 E_5-E_1=- 13.65^2- 13.61^2 =-0.54+13.6=13.06eV Wavelength = 12.4213.06 nm=95.1 nm

$Monochromatic radiation is incident on hydrogen (H) sample which is in ground state. If the hydrogen atoms emit radiation of ten different wavelengths after absorbing the incident radiation, then the wavelength of the incident radiation is (Let hc = 1242 eV - nm)$

Solution

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