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

`E_(4) - E_(3) = Z^(2) [1/9 - 1/(16)] = (7)/(144)Z^(2)`
`E_(2) - E_(1) = Z^(2)[1-1/4] = 3/4Z^(2)`
`E_(4) - E_(2) = Z^(2) [1/4 - 1/16] = 3/(16)Z^(2)`