The ionisation energy of H atom is 13.6ev . It is exposed to electromagnetic waves of 1028 Angstrom and gives out induced radiation. Find the wavelength of these induced radiations.
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Hi,
Here is the answer to your question:
H-atom is exposed to UV radiation having wavelength 102.8nm
the energy of photon corresponding to 102.8 nm waveegth is
E = hc/λ = 1242 eV-nm /102.8 nm
= 12.42 eV
The energy needed to take athe H atom frm ground state to first excited state is
E2-E1 - 13.6 eV - 3.4 eV = 10.2 eV
and to the second excited state is
E3-E1 - 13.6 eV - 1.5 eV = 12.1 eV
and to the third excited state is
E4-E1 - 13.6 eV - 0.85 eV = 12.75 eV
thus 12.42 eV photon has large probability of being absorbed in 12.1 eV
The corresponding waveegth is: λ =103 nm
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