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Emission and Absorption Spectra

An electron i...

Question

An electron in an h atom in its ground state absorbs 1.5 times as much energy as the minimum required for its escape(13.6ev) from the atom .what is the wavelength of the emitted electron?

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Solution

Energy given to electron = $1.5 \times 13.6 e V = 20.4 e V$
Excess energy = $20.4 - 13.6 = 6.8 e V$
$\frac{h c}{λ} = 6.8 e V ∴ λ = 1.82 \times 10^{- 7}$

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