A) \[\sqrt{35}\sqrt{{{\mu }_{B}}}\]
B) \[35{{\mu }_{B}}\]
C) \[35\sqrt{{{\mu }_{B}}}\]
D) \[{{\mu }_{B}}\sqrt{35}\]
Correct Answer: D
Solution :
The magnetic moment of the ground state of an atom is \[\mu =\sqrt{5(5+2)}.{{\mu }_{B}}\] \[={{\mu }_{B}}\sqrt{35}\] Where \[{{\mu }_{B}}\] is gyromagnetic moment. Here, open sub-shell is half-filled with 5 electrons. i.e., \[n=5\] \[\therefore \] \[\mu =\sqrt{5(5+2)}.{{\mu }_{B}}\] \[{{\mu }_{B}}\sqrt{35}\]
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