Question

Which of the following is not permissible arrangement of electrons in an atom.

• A. n = 3, l = 2, m =- 2, s = - 1/2
• B. n = 4, l =0, m = 0, s = - 1/2
• C. n = 5, l = 3 , m = 0 , s = + 1/2
• D. n = 3, l = 2 , m = -3, s = - 1/2

Answer 1

Answer: (D)

n = 3, l = 2 , m = -3, s = - 1/2

Answer 2

$n=3$, $1=2$, $m=-3$, $s=-\frac{1}{2}$
For a given value of $n$, $1$ can be $0$ to $(n - 1)$
Hence, for $n = 3$, value of $1$ can be $2$ for a given value of $1$, $m$ can be from $- 1$ to $+ 1$.
Thus, $m$ can be $- 2$ to $+ 2$, but given $m = 3$, which is not possible.