1.

The transitionis `He^(o+)` ion that would have the same wavelength as the first Lyman line in hydtrogen spectrum isA. `2 rarr 1`B. `5 rarr 3`C. `4 rarr 2`D. `6 rarr 4`

Answer» Correct Answer - C
`bar v _(He^(o+)) = (1)/(lambda) = R xx 2^(2) ((1)/(n_(1)^(2))- (1)/(n_(2)^(2)))`
`= R ((4)/(n_(1)^(2)) - (4)/(n_(2)^(2)))`…..(i)
`bar v _(theta_(2)^(o+)) = (1)/(lambda) = R xx ((1)/(1^(2))- (1)/(2^(2)))`….(ii)
Compare equation (i) and (ii) we get
`(1)/(1^(2)) = (4)/(n_(1)^(2)), n_(1)^(2)= 4 n_(1) = 2`
`(4)/(n_(2)^(2)) = (1)/(2^(2)),n_(2)^(2)= 16 n_(2) = 4`
`( h rarr 2)`


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