What is the wavelength of light emitted when the electron in a hydrogen atom undergoes transition from the energy level with `n=4` to the energy level with `n=1` ?

Explanation

According to Rydberg's formula, `bar(v)(cm^(-1))=109,677((1)/(n_(1)^(2))-(1)/(n_(2)^(2)))`
In the present case `n_(2) = 4` and `n_(1)=1`
`bar(v)=109,677((1)/((1)^(2))-(1)/((1)^(2)))=109,677xx(15)/(16)=102822cm^(-1)`
`lambda = (1)/(bar(v))=(1)/(102822)cm=9.7xx10^(-6)cm=9.7xx10^(-6)xx10^(7)nm=97nm`.