The wavelength of the radiation emitted , when in a hydrogen atom electron falls from infinity to stationary state 1 , would be :
(Rydberg constant = `1.097 xx 10^(7) m^(-1)`)

Options

A. ` 9. 1 xx 10^(-8) nm`
B. ` 192 nm`
C. `406 nm`
D. ` 91 nm`

Answer

D

Explanation

` 1/( lambda ) =R_H [1/( oo)- 1/1^2]`
` :. lambda = 1/(R_H) = 1/(1. 097 xx 10^7)` ltbRgt ` = 9. 1 xx 10 ^(-8)m`
` = 91 xx 10^(-9) m = 91 nm`.