The energy of electron in the nth orbit of hydrogen atom is expressed as `E_(n) = (-13.6)/(n^(2))eV`. The shortest and longest wavelength of Lyman series will be

Options

A. `910 Å, 1213 Å`
B. `5463 Å, 7858 Å`
C. `1315 Å, 1530 Å`
D. None of these

Answer

A

Explanation

`(1)/(lambda_(max)) = R[(1)/((1)^(2)) - (1)/((2)^(2))] rArr lambda_(max) = (4)/(3R) ~~ 1213 Å`
and `(1)/(lambda_(min)) = R [(1)/((1)^(2)) - (1)/(oo)] rArr lambda_(min) = (1)/(R ) ~~ 910 Å`