If `lambda_(max)` is `6563 Å`, then wave length of second line of Balmer series will be

Options

A. `lambda = (16)/(3R)`
B. `lambda = (36)/(5R)`
C. `lambda = (4)/(3R)`
D. None of the above

Answer

A

Explanation

For Balmer series `(1)/(lambda) = R ((1)/(2^(2)) - (1)/(n^(2)))` where `n = 3, 4, 5`
For second line `n = 4`
So `(1)/(lambda) = R ((1)/(2^(2)) - (1)/(4^(2))) = (3)/(16) R rArr lambda = (16)/(3R)`