Ratio of the wavelengths of line of Lyman series and first line of Balmer series is.

Options

A. `1:3`
B. `27:5`
C. `5:27`
D. `4:9`

Answer

C

Explanation

For first line of Lyman series `(1)/(lambda_(L))= R[(1)/((1)^(2)) - (1)/((3)^(2))] =(3R)/(4)`
and for first line of Balmer series `(1)/(lambda_(B)) = R[(1)/((2)^(2)) - (1)/((3)^(2))] =(5R)/(36)`
`rArr (lambda_(L))/(lambda_(B)) = (5)/(27)`