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Q.

If H-atom is supplied with 12.1 eV energy and electron returns to the ground state after excitation, the number of spectral lines in Balmer series would be: (use energy
of ground state of H-atom = -13.6 eV)

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Detailed Solution

$New energy = - 13.6 + 12.1 = - 1.5 eV$

$E_{n} = \frac{- 13.6}{n^{2}} \Rightarrow n^{2} = \frac{- 13.6}{- 1.5} = 9 \Rightarrow n = 3$

Number of spectral lines in Balmer series for 3 $\to$ 2 transition would be one only.

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If H-atom is supplied with 12.1 eV energy and electron returns to the ground state after excitation, the number of spectral lines in Balmer series would be: (use energyof ground state of H-atom = -13.6 eV)