Question

What is the maximum number of emission lines when the excited electron of a hydrogen atom in $\mathrm{n}=6$ drops to the ground state?

• A. $10\mathrm{lines}$
• B. $12\mathrm{lines}$
• C. $15\mathrm{lines}$
• D. $18\mathrm{lines}$

Answer 1

The correct option is C

$15\mathrm{lines}$

Explanation for correct option

(c) $15\mathrm{lines}$

• The maximum number of emission lines when the excited electron of a hydrogen atom in ${\mathrm{n}}^{\mathrm{th}}\mathrm{state}$ drops to the ground state is found by the given formula:

$\frac{\mathrm{n}(\mathrm{n}-1)}{2}$

• $\mathrm{Given},\mathrm{n}=6$
• $\Rightarrow \frac{6(6-1)}{2}$
• $\Rightarrow \frac{6\left(5\right)}{2}$
• $\Rightarrow \frac{30}{2}$
• $\Rightarrow 15$
• Hence the correct option is (c) $15\mathrm{lines}$

Explanation for incorrect options

Since, the correct answer is option (c) $15\mathrm{lines}$. Therefore, options (a), (b) and (d) stand incorrect.

Hence, the correct option is (c) $15\mathrm{lines}$.