Question

In hydrogen spectrum what is the significance of the gradual convergence of the lines at shorter wave length

Answer 1

Answer:

Atomic energy depends on 1/n2

As n increases , the energy decreases. Energy is maximum for n=1.

Now, let’s talk about atomic spectrum for n=1.

The energy difference between n & 1 increases with n. But if you draw a graph, you can see its growth slows over n.

The wavelength decreases ever more slowly forcing the line to converge around n=∞.