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Relation between magnetic moment (spin-o...

Relation between magnetic moment (spin-only formula) and number of unpaired electrons is given by

A

`mu=sqrt(n(n+2))`

B

`mu=sqrt(n^(2)+1)`

C

`mu=sqrt(n(n+1))`

D

`mu=sqrt(n(n+3))`

Text Solution

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The correct Answer is:
A
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How is the magnetic moment of a species related to the number of unpaired electrons ?

The substances which contain species with unpaired electrons in their orbitals behave as paramagnetic sustances. Such substances are weakly attracted by the magnetic field. The paramagnetism is expressed in terms of magnetic moment. The magnetic moment is related to the number of unpaired electrons according tot he following relation: Magnetic moment mu=sqrt(n(n+2))BM where n=number of unpaired electrons. BM stands for Bohr magneton, a unit of magnetic moment. 1BM=(eh)/(4pimc)=9.27xx10^(-24)Am^(2) or JT^(-1) Q. In Which of these options do both constituents of the pair have the same magnetic moment?

Knowledge Check

  • Magnetic moment of transition metal ion is 5.92 BM (spin-only formula). The number of unpaired electrons in the metal ion is

    A
    4
    B
    5
    C
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    D
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  • The substances which contain species with unpaired electrons in their orbitals behave as paramagnetic sustances. Such substances are weakly attracted by the magnetic field. The paramagnetism is expressed in terms of magnetic moment. The magnetic moment is related to the number of unpaired electrons according tot he following relation: Magnetic moment mu=sqrt(n(n+2))BM where n=number of unpaired electrons. BM stands for Bohr magneton, a unit of magnetic moment. 1BM=(eh)/(4pimc)=9.27xx10^(-24)Am^(2) or JT^(-1) Q. An ion of a d-block element has magnetic moment 5.92 BM. Select the ion among the following:

    A
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    B
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    C
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  • The substances which contain species with unpaired electrons in their orbitals behave as paramagnetic sustances. Such substances are weakly attracted by the magnetic field. The paramagnetism is expressed in terms of magnetic moment. The magnetic moment is related to the number of unpaired electrons according tot he following relation: Magnetic moment mu=sqrt(n(n+2))BM where n=number of unpaired electrons. BM stands for Bohr magneton, a unit of magnetic moment. 1BM=(eh)/(4pimc)=9.27xx10^(-24)Am^(2) or JT^(-1) Q. Which of the following ions has magnetic moment equal to that of Ti^(3+) ?

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    C
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