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Q.

In a container a mixture is prepared by mixing of three samples of hydrogen, helium ion (He+) and lithium ion (Li2+). In sample, all the hydrogen atoms are in 1st excited state and all the He+ ions are in third excited state and all the Li2+ ions are in fifth excited state. Find the total number of spectral lines observed in the emission spectrum of such a sample, when the electrons return back to the ground state.

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answer is 20.

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Detailed Solution

Here, we have;

HHe+Li2+n=2n=4n=6(21)4×326×52=1=6=1515+6+1=22.  

However, the common lines are

21(H), 42He+, 63Li2+

So. total = 22 - 2 = 20

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In a container a mixture is prepared by mixing of three samples of hydrogen, helium ion (He+) and lithium ion (Li2+). In sample, all the hydrogen atoms are in 1st excited state and all the He+ ions are in third excited state and all the Li2+ ions are in fifth excited state. Find the total number of spectral lines observed in the emission spectrum of such a sample, when the electrons return back to the ground state.