What is the energy in joules required to shift the elertcon of the hydrogen atom from the first Bohr orbit to the fifth Bohr orbit ? And what is the wavelenght of the light emitted when the electron returns to the ground state ? The ground state electron energy is ` -2 18 xx 10 ^(-11)` erg.

Explanation

`E_(1)=-2.18xx10^(-11) ergs`.
`E_(5)=(-2.18xx10^(-11))/((5)^(2))=(-2.18xx10^(-11))/(25) erg s`
`DeltaE=E_(5)-E_(1)`
`[(-2.18xx10^(-11))/25-(-2.18xx10^(-11))]`
`=(-2.18xx10^(-11)+25(2.18xx10^(Θ)-11))/25`
`=24/25(2.18xx10^(-11)) erg s`
`=2.05xx10^(-11) erg s`
ii. `v=(DeltaE)/(h)=(2.08xx10^(-11))/(6.62xx10^(-27)) (h=6.62xx10^(-27) arg s)`
`=3.14xx10^(15) s^(-1)`
`lambda=c/v=(3.0xx10^(8) m s^(-1))/(3.14xx10^(15) s^(-1))=956 Å`