Question

When the electrons of a sample of hydrogen atoms jump from the $4^{th}$ orbit to the ground state, the maximum number of spectral lines observed is:

• A. $15$
• B. $6$
• C. $3$
• D. $4$

Answer 1

The correct option is B $6$

Maximum number of spectral lines$\left(N\right)$ corresponding to the transition from $n_1=4$ to $n_2=1$ are:
$N=$ number of lines emitted $=\frac{1}{2}(n_1-n_2)(n_1-n_2+1)$
$=\frac{1}{2}\times 3(3+1)=6$