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If lambda(1) and lambda(2) are the wavel...

If lambda_(1) and lambda_(2) are the wavelengths of the third member of Lyman and first member of the Paschen series respectively,then the value of λ 1 : λ 2 is:

A

`1:3`

B

`7:135`

C

`7:108`

D

`1:9`

Text Solution

Verified by Experts

The correct Answer is:
B

`(1)/(lambda_(1))=R[(1)/(1^(2))-(1)/(4^(2))]`
`(1)/(lambda_(2))=R[(1)/(3^(2))-(1)/(4^(2))]`
`(lambda_(1))/(lambda_(2))=([(1)/(9)-(1)/(16)])/([1-(1)/(16)])=(7)/(9xx15)implies(lamda_(1))/(lambda_(2))=(7)/(135)`.
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