Question

In a hydrogen spectrum if an electron moves from $6^{th}$ to $1^{st}$ orbit by transition in multiple steps. Find out the ratio of number of radiations in ultravoilet region to total number of radiations

• A. 1:15
• B. 15:1
• C. 1:3
• D. 3:1

Answer 1

The correct option is C 1:3

Number of radiations $\left(N\right)$ in the spectrum corresponding to the transition from $n_2=6$ to $n_1=1$ is,
$N=\frac{(n_2-n_1)\left[\right(n_2-n_1)+1]}{2}=\frac{\left(5\right)(5+1)}{2}\Rightarrow \frac{6\times 5}{2}=15$
Numbers of radiations in UV region will be (6 to 1), (5 to 1), (4 to 1), (3 to 1) and (2 to 1) so total of 5
$\therefore$ Ratio of radiations in UV region to total number of radiations will be 1:3