The first line is the Lyman series has wavelength `lambda`.The first line in Balmer series has wavelength

Options

A. `27/5lambda`
B. `5/27lambda`
C. `9/2lambda`
D. `2/9lambda`

Answer

a

Explanation

Lyman series is Given by,`1/lambda=R[1/1^2-1/n^2]`
For first line, `n=2`br`implies 1/lambda=R[1/1-1/2^2]=(3R)/4`
`implies R=4/(3lambda)`
Foe Balmers series,`1/lambda_B=R[1/2^2-1/n^2],n=3`
`implies 1/lambda_B=R[1/4-1/9]=R[5/36]`
`implies 1/lambda_B=4/(3lambda)[5/36]`
`implies 1/lambda_B=5/27 lambda`
`therefore lambda_B=27/5lambda`