Q. The magnetic moment of the ground state of an atom whose open sub-shell is half-filled with five electrons is
A) $\sqrt{35}\sqrt{\mu_{B}}$
B) 35 $\mu_{B}$
C) 35$\sqrt{\mu_{B}}$
D) $\mu_{B}\sqrt{35}$
Explanation
(d) The magnetic moment of the ground state of an atom is
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \mu = \sqrt{n(n + 2)\mu_{B}}$
Where, $\mu_{B}$ is gyromagnetic moment. Here, open sub-shell is half-filled with 5 electrons$.\ ie,$ $n$=5
$\therefore\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \mu = \sqrt{5(5 + 2).\mu_{B}}$
=$\mu_{B}\sqrt{35}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.