A group of hydrogen atoms are prepared in n=4 states. List the wavelengths that are emitted as the atoms makes the transitions and return to n=2 states.

Question

Philoid · Accepted Answer

As the atom is in n=4 state, so while making a transition from n=4 to n=2 state, the transitions it will undergo are

In the first case, n=432

Thus, for the first case,

n=3 and m=4 (as the atom first makes transition from 4^th state to 3^rd state)

Thus the wavelength will be,

Second case is when the atom makes transition from n=3 to m=2.

Thus,

Third case is when the atom will make the transition from 4^th state to directly to 3^rd state. At that time, n=4 and m=2,