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

Options

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

Answer

C

Explanation

`DeltaEprop((1)/(n_(i)^(2))-(1)/(n_k))^(2)`
(I) For transtions n=1 to n=4 energy is absorbed
(II) `DeltaE_(2)prop((1)/(3^(2))-(1)/(4^(2)))prop((1)/(9)-(1)/(16))prop(7)/(144)prop0.0486`
(III) `DeltaE_(3)prop((1)/(1^(2))-(1)/(4^(2)))prop((1)/(1)-(1)/(16))prop(15)/(16)prop0.9375`
(IV) `DeltaE_(4)prop((1)/(2^(2))-(1)/(4^(2)))prop((1)/(4)-(1)/(16))prop(12)/(64)prop0.1875`
`:.` In option III energy of emitted photon is maximum