Question

4g of hydrogen atom H are taken at very high temperature such that electron of each atom is excited to 4th state. The maximum no. Of line obtained in emission spectrum when all electron return to the ground state is ??

Answer 1

We have,

Amount of Hydrogen atom H = 4g

The temperature is raised at the degree in which each atom is excited to the 4th state.

So, $n_{1} = 1$ [the first spectral line]

and, $n_{2} = 4$ [ the spectral line to which the H electrons were raised]

So, the maximum number of lines obtained in emission spectrum when all electrons return to the ground state can be calculated as follows,

$\frac{(n_2-n_1) (n_2-n_1+1)}{2}$

= $\frac{(4-1) (4-1+1)}{2}$

= $\frac{3*4}{2}$

= $\frac{12}{2}$

= 6

Ans) The maximum number of lines obtained in emission spectrum when all electrons return to the ground state is 6