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Question

A sample of four hydrogen atoms, all in the nth excited state, de- excite to the ground state, and shows a maximum of six different spectral lines. Hence the value of nth is:

A
3
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B
4
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C
5
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D
6
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Solution

The correct option is A 3
nth excited state means that the electron is in the (n+1)th energy level. Given, the sample of these 4H atoms shows a total of six different spectral lines, while returning to the ground level, that is possible only when (n+1)=4. The respective transitions will be 41, 42, 43, 32, 31, 21
Hence, option (a) is correct.

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