The diagram shows the energy levels for an electron in a certain atom. Which transition shown represents the emission of photon with the most enegy ?

Options

A. III
B. IV
C. I
D. II

Answer

A

Explanation

Energy of emitted radition ,E= Rhc `((1)/(n_(1)^(2))-(1)/(n_(2)^(2)))`
`rArrR_(4to3)=Rhc((1)/(3^(2))-(1)/(4^(2)))=Rhc((7)/(9xx16))=0.05Rhc`
`E_(4to2)=Rhc((1)/(2^(2))-(1)/(4^(2)))=Rhc((3)/(16))=0.2Rhc`
`E_(2to1)=Rhc[(1)/((1)^(2))-(1)/((2)^(2))]=Rhc((3)/(4))=0.75Rhc`
and `E_(1to4)=Rhc[(1)/((4)^(2))(1)/((1)^(2))]=-(8)/(9)Rhc=-0.9Rhc`
Thus, transition III gives largest amout of energy