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JEE Main 202324 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
24 January
Shift
Morning Shift
Subject
Chemistry
Chapter
d and f Block Elements

JEE Main 2023 · 24 January · Morning Shift · Chemistry · d and f Block Elements

The magnetic moment of a transition metal compound has been...

The magnetic moment of a transition metal compound has been calculated to be 3.87BM3 . 87BM. The metal ion is

Options

  1. ACr2+{Cr}^{2 +}
  2. BMn2+{Mn}^{2 +}
  3. CV2+{V}^{2 +}
  4. DTi2+{Ti}^{2 +}

Correct answer

C. V2+{V}^{2 +}

Step-by-step solution

The magnetic moment, μs=n(n+2)BM{\mu}_{s} = \sqrt{n ( n + 2 )} BM where nn is the number of unpaired electrons.

Cr+2:[Ar],3d4,4s°n=4,μ=4(4+2)=24=4.89BMMn+2:[Ar],3d5,4s°n=5,μ=5(5+2)=35=5.91BMV+2:[Ar],3d3,4s°n=3,μ=3(3+2)=15=3.87BMTi+2:[Ar],3d2,4s°n=2,μ=2(2+2)=8=2.82BM{Cr}^{+ 2}: \left[Ar\right], 3{d}^{4}, 4{s}^{°}n = 4, \mu = \sqrt{4 ( 4 + 2 )} = \sqrt{24} = 4 . 89BM{Mn}^{+ 2}: \left[Ar\right], 3{d}^{5}, 4{s}^{°}n = 5, \mu = \sqrt{5 ( 5 + 2 )} = \sqrt{35} = 5 . 91BM{V}^{+ 2}: \left[Ar\right], 3{d}^{3}, 4{s}^{°}n = 3, \mu = \sqrt{3 ( 3 + 2 )} = \sqrt{15} = 3 . 87BM{Ti}^{+ 2}: \left[Ar\right], 3{d}^{2}, 4{s}^{°}n = 2, \mu = \sqrt{2 ( 2 + 2 )} = \sqrt{8} = 2 . 82BM

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