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Ratio of longest wave lengths correspond...

Ratio of longest wave lengths corresponding to Lyman and Balmer series in hydrogen spectrum is

A

`3/23`

B

`7/29`

C

`9/31`

D

`5/27`

Text Solution

Verified by Experts

The correct Answer is:
D
For Lyman series
`1/lambda_(L)=R[1-1/2^(2)]=(3R)/4`
For Balmer series
`1/lambda_(B)=R[1/4-1/9]=(5R)/36`
`implies lambda_(L)/lambda_(B)=(4/(3R))/(36/(5R))=4/36 (5/3)=5/27`
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