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Question

The ground state energy of hydrogen atom is 13.6eV. If an electron make a transition from an energy level 0.85eV to 1.51eV, calculate the wavelength of the spectral line emitted. To which series of hydrogen spectrum does this wavelength belong?

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Solution

E=13.6[1nf21ni2]
E=13.6[132142]
E=0.6611 eV

λ=hcE

=1240 eVnm0.6611 nm

=1876 nm

This wavelength belongs to the Paschen series of Hydrogen spectrum.

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