In a collection of H- atoms, all the electrons jump from n = 5 to ground level finally (directly or indirectly), without emitting any line in Balmer series. The number of possible different radiation is?
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So transitions to Balmer series are not allowed. 
Thus the available transitions are : 54, 5 3, 51 ; 43, 41; 31

So the total transitions are = 6

However if the restriction of Balmer series was not mentioned , we can calculate the total no.of spectral lines using the formula: N = n(n-1)2, where n=5
So , N = 5(5-1)2= 10 lines


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