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What is the maximum number of emission...

What is the maximum number of emission lines when the excited electron of a H atom in n=16 drops to the ground state ?

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Number of emission lines `=(n(n-1))/( 2 ) `
`=(6(6-1))/(2) =15`
following transition are occur :
(i) n=6 to n=1
`6 to 5, 6 to 4,6 to 3,6 to 2,6 to 1`
(ii) 5 to 4 ,5 to 3,5 to 2,5 to 1 so
(iii) n=4 to n= 1 so
`n_(4) to n_(3) n_(4) to n_(2) n_(4) to n_(1)`
(iv) n=3 to n=1 so
`n_(3) to n_(2) ` and `n_(3) to n_(1) so`
(v ) `n_(2) to ` n=1 so one
Total 5 + 5+3 +2 +1 =15 transition so 15
emission lines obtain
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