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The ratio of the wavelength for the tran...

The ratio of the wavelength for the transition from n = 2 to n = 1 in `Li^(++).He^(+)` and H is

A

`1 : 2 : 3`

B

`1 : 4 : 9`

C

`3 : 2 : 1`

D

`4 : 9 : 36`

Text Solution

Verified by Experts

The correct Answer is:
D
According to Rydberg formula, the wavelength
`(1)/(lambda) = z^(2)R((1)/(n_(1)^(2))-(1)/(n_(2)^(2))) ` For, `Li^(++), z = 3`
`lambda infty (1)/(z^(2))` `He^(+), z = 2`
`lambda_(Li^(++)) : lambda_(Li^(++)) : lambda_(H) = 4 : 9 : 36 H, Z = 1`
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