# Which of the following set of quantum numbers represent the highest energy of an atom?

1. A

$\begin{array}{r}n=3,l=0,m=0,s=+\frac{1}{2}\end{array}$

2. B

$\begin{array}{r}n=3,l=1,m=1,s=+\frac{1}{2}\end{array}$

3. C

$\begin{array}{r}n=3,l=2,m=1,s=+\frac{1}{2}\end{array}$

4. D

$\begin{array}{r}n=4,l=0,m=0,s=+\frac{1}{2}\end{array}$

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### Solution:

Principal quantum number (n) and azimuthal quantum number are added together to determine energy (l).

$\therefore$ Since $\left(\mathrm{n}+\mathrm{l}\right)$ is maximal for option (c), it will display the greatest atom energy.

As a result, choice c is accurate.

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