For Balmer series, wavelength of first line is `lamda_(1)` and for Brackett series, wavelength of first line is `lamda_(2)` then `(lamda_(1))/(lamda_(2))`

Options

A. `0.081`
B. `0.162`
C. `0.198`
D. `0.238`

Answer

B

Explanation

For Balmer series `(1)/(lamda_(1))= R ((1)/(2^(2))- (1)/(3^(2)))= (5R)/(36)`
For Brackett series
`(1)/(lamda_(2))= R ((1)/(4^(2))- (1)/(5^(2))) = (9R)/(16 xx 25)`
`(lamda_(1))/(lamda_(2))= (9R)/(16 xx 25) xx (36)/(5R) = 0.162`