Which of the following transitions in hydrogen atoms emit photons of highest frequency?

Options

A. n = 2 to n = 6
B. n = 6 to n = 2
C. n = 1 to n = 2
D. n = 2 to n = 1

Answer

D

Explanation

Radiation are absorbed in option (A) and (B), also radiation emitted when transition occur high energy state to low energy state and energy
`E=(13.6)/(n^(2))eV`
`:.E_(6)=-(13.6)/((6)^(2))=-(13.6)/(36)=-0.37778eV`
`E_(2)=-(13.6)/((2)^(2))=-(13.6)/(4)=-3.4eV`
`E_(1)=-(13.6)/((1)^(2))=-13.6eV`
The reduction of energy in option (C),
`E_(6)-E_(2)=(-0.3778)-(-3.4)`
`=(3.4-0.3778)eV=3.0222eV`
The reduction of energy in option (D),
`E_(2)-E_(1)=-3.4-(-13.6)`
`=13.6-3.4=10.2eV`
Now, energy `EpropF`
`:.` Frequency is maximum in option (D)