Question

The maximum number of photons emitted by a hydrogen atom , if the atom is excited to the states with principal quantum number four is-

• A. $1$
• B. $4$
• C. $6$
• D. $2$

Answer 1

The correct option is C $6$

The maximum number of spectral lines,

$N=\frac{n(n-1)}{2}$

$N=\frac{4(4-1)}{2}=\frac{4\times 3}{2}[\because n=4]$

$\Rightarrow N=6$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, $\left(C\right)$ is the correct answer.