Question

A hydrogen atom initially in the ground level absorbs a photon , which excites it to then `n=4` level. Determine the wavelength and frequency of photon.

Answer 1

`(1)/(lambda)=R((1)/(n_(1)^(2))-(1)/(n_(2)^(2)))`
`(1)/(lambda)=1.09xx10^(7)((1)/(1^(2))-(1)/(4^(2)))`
`=1.09xx10^(7)((16-1)/(16))`
`=1.09xx10^(7)xx(15)/(16)`
`lambda=(16)/(1.09xx15xx10^(7))=9.8xx10^(-8)m`
`:.` Frequency `(upsilon)=(C )/(lambda)=(3xx10^(8))/(9.8xx10^(-8))=3.06xx10^(15)s^(-1)`