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  • Hydrogen atom in ground state is excited by a monochromatic radiation of <img alt="\mathrm{\lambda=975\AA }" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%5Clambda%3D975%5CAA%20

Hydrogen atom in ground state is excited by a monochromatic radiation of \mathrm{\lambda=975\AA }. Number of spectral lines in the resulting spectrum emitted will be

Option: 1

3


Option: 2

2


Option: 3

6


Option: 4

10


Answers (1)

best_answer

\mathrm{\text { Energy incident } =\frac{h c}{\lambda}=\frac{6.63 \times 10^{-34} \times 3 \times 10^8}{975 \times 10^{-10} \times 1.6 \times 10^{-19}} \mathrm{eV} }

                                  \mathrm{ =12.75 \mathrm{eV} }

The hydrogen atom will be excited to \mathrm{ n=4}

Number of spectral lines \mathrm{ =\frac{4(4-1)}{2}=6}

Hence option 3 is correct.

Posted by

sudhir kumar

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