Figure represent some of the lower energy level of the hydrogen atom in simplified from.
If the transition of an electron from `E_(4) to E_(2)` were accociated with the emission of blue light , which one of the following transition could be accociated with the emission of red light?

Options

A. `E_(4) to E_(1)`
B. `E_(3) to E_(1)`
C. `E_(3) to E_(2)`
D. `E_(1) to E_(3)`

Answer

C

Explanation

For emission of a photon with greater wavelength energy gap should be less.
Blue light falls in the Balmer series and it is obtained when the atom makes a transition from `E_(4) to E_(3)`. Red light also falls in the Balmer series and it has a lower frequency compared to blue light. By quantum theory of radiation , the energy change `E` is proportional to the frequency of electromagnnetic radiation `f by E = h f`. Thus red light is associated with a smaller energy change from a lower energy level (compared to `E_(4)` to the first excited state `E_(2)`. Hence, the only possible transition that result in the emission of red light is the `E_(3) and E_(2)` transition.