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Find the value of wave number (overset-v...

Find the value of wave number `(overset-v)` in terms of Rydberg's constant, when transition of electron takes place between two lvels of `He^(+)` ion whose sum is 4 and difference is 2.

A

`(8R)/(9)`

B

`(32R)/(9)`

C

`(3R)/(4)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`n_(1)+n_(2)=4,n_(2)-n_(1)=2thereforen_(1)=1,n_(2)=3`
`overline(v)=RZ^(2)[(1)/(n_(1)^(2))-(1)/(n_(2)^(2))]`
`=Rxx2^(2)[(1)/(1)-(1)/(3^(2))]=(32R)/(9)`
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Calculate the wavelength emitted during the transition of an electron in between two level of Li^(2+) ion whose sum is 4 and difference is 2

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