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NEET CHEMISTRYMedium

Which of the following ions have the same 'spin-only' magnetic moment? A. Ti3+Ti^{3+} B. Cr2+Cr^{2+} C. Mn2+Mn^{2+} D. Fe2+Fe^{2+} E. Sc3+Sc^{3+} Choose the most appropriate answer from the options given below:

A

A and E only

B

B and C only

C

A and D only

D

B and D only

Step-by-Step Solution

The 'spin-only' magnetic moment (μ\mu) is determined by the number of unpaired electrons (nn) using the formula μ=n(n+2) BM\mu = \sqrt{n(n+2)} \text{ BM}. Let us find the number of unpaired electrons for each given ion:

  • Ti3+(Z=22)Ti^{3+} (Z=22): Electronic configuration is [Ar]3d1[Ar] 3d^1. It has 1 unpaired electron (n=1n=1).
  • Cr2+(Z=24)Cr^{2+} (Z=24): Electronic configuration is [Ar]3d4[Ar] 3d^4. It has 4 unpaired electrons (n=4n=4).
  • Mn2+(Z=25)Mn^{2+} (Z=25): Electronic configuration is [Ar]3d5[Ar] 3d^5. It has 5 unpaired electrons (n=5n=5).
  • Fe2+(Z=26)Fe^{2+} (Z=26): Electronic configuration is [Ar]3d6[Ar] 3d^6. It has 4 unpaired electrons (n=4n=4).
  • Sc3+(Z=21)Sc^{3+} (Z=21): Electronic configuration is [Ar]3d0[Ar] 3d^0. It has 0 unpaired electrons (n=0n=0).

Since both Cr2+Cr^{2+} and Fe2+Fe^{2+} have 4 unpaired electrons, they have the same 'spin-only' magnetic moment of 4(4+2)=244.90 BM\sqrt{4(4+2)} = \sqrt{24} \approx 4.90 \text{ BM} . Thus, B and D is the correct pair.

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