PROBLEM 42P

Two of the emission wavelengths in the hydrogen emission spectrum are 656 nm and 486 nm. One of these is due to the n = 4 to n = 2 transition, and the other is due to the n = 3 to n = 2 transition. Which wavelength corresponds to which transition?

Solution 42P

Here, we are going to identify which of the given wavelengths corresponds to the given transitions.

Step 1:

It is already known that, when an electron jumps from a lower orbit to a higher orbit, it absorbs energy whereas when the electron jumps from higher orbit to lower orbit, it emits energy.

Thus, n = 4 to n = 2 transition corresponds to higher emission of energy compared to n = 3 to n = 2 transition.