A Hydrogen sample is in 1st excited state. A photon of energy 8eV is used to excited the sample. Find the De-Broglie wavelength of the electron.
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Here is the answer to your question:
electron in 1st excited state: n=2
energy in this state= -13.6/(n^2) eV
= -13.6/2^2 = 3.4eV
now energy provided = 8eV
extra energy left with electron after getting ionisation energy of +3.4eV is (8-3.4)eV = 4.6eV
energy= hc/(wavelength)
wavelength comes out to be : 2703 nm
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