Shows the energy levels for an electron in a certain atom. Which transition shown represented the emission of a photon with the most energy?

Options

A. III
B. IV
C. Intensity of the characteristic S-rays depends on the electrical power given to the X-rays tube
D. II

Answer

A

Explanation

`E = Rhc[(1)/(n_(1)^(2))-(1)/(n_(2)^(2))]`
`E_((4 rarr 3))=Rhc[(1)/(3^(2))-(1)/(4^(2))]`
`=Rhc[(7)/(9 xx16)] = 0.05 Rhc`
`E_(4 rarr 2)=[(1)/(2^(2))-(1)/(4^(2))]`
`=Rhc[(3)/(16)]=0.2 Rhc`
`E_((2 rarr 1))=Rhc[(1)/((1)^(2))-(1)/((2)^(2))]`
`= Rhc [(3)/(4)] =0.75 Rhc`
`E_((1 rarr 3))=Rhc [(1)/((3)^(2))-(1)/((1)^(2))] = (8)/(9) Rhc = -0.9 Rhc`
`:.` Thus, lll transition gives most energy.