Question

Which of the following arrangement is possible?

	n	l	m	s
a	5	2	2	$+1/2$
b	2	2	0	$-1/2$
c	3	-2	1	$+1/2$
d	0	0	1	$+1/2$

• A. a
• B. b
• C. c
• D. d

Answer 1

Answer: (A)

For a given value of $n,l=0$ to $n-1$;

for a given value of $l,m=-l$ to $+l$ including zero;

for a given value of $m,s=+\frac{1}{2},-\frac{1}{2}$

∴ When $n=5$, then $l=0,1,2,3,4$;

when $l=2$, then $m=-2,-1,0,+1,+2$

The value of s can be $\pm 1/2$

Hence, the arrangement, $n=5,l=2,m=2,s=+1/2$

is possible for an electron.