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What transition in the hydrogen spectrum...

What transition in the hydrogen spectrum would have the same wavelength as the Balmer transition `n=4` to `n=2` of `He^(+)` spectrum ?

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`bar(v)_(Be^(3+)) = (1)/(lamda_(H)) = R ((1)/(n_(1)^(2)) - (1)/(n_(2)^(2))) and bar(v)_(He^(+)) = (1)/(lamda_(He^(+))) = (1)/(lamda_(He^(+))) = RZ_(He^(+))^(2) ((1)/(2^(2)) - (1)/(4^(2)))`
Since, `(1)/(lamda_(H)) = (1)/(lamda_(He^(+)))` (given), therefore, `((1)/(n_(1)^(2))- (1)/(n_(2)^(2))) = 2^(2) ((1)/(4) - (1)/(16)) = (3)/(4)`
`rArr n_(1) =1 and n_(2) = 2`
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