The spin-only magnetic moment (\( \mu \)) is given by:
$$ \mu = \sqrt{n(n+2)} $$
where \( n \) is the number of unpaired electrons. The magnetic moment depends only on the number of unpaired electrons in the ion.
- Has 1 unpaired electron.
- Spin-only magnetic moment:
$$ \mu = \sqrt{1(1+2)} = \sqrt{3} $$
- Has 4 unpaired electrons.
- Spin-only magnetic moment:
$$ \mu = \sqrt{4(4+2)} = \sqrt{24} $$
- Has 5 unpaired electrons.
- Spin-only magnetic moment:
$$ \mu = \sqrt{5(5+2)} = \sqrt{35} $$
- Has 4 unpaired electrons.
- Spin-only magnetic moment:
$$ \mu = \sqrt{4(4+2)} = \sqrt{24} $$
- Has no unpaired electrons.
- Spin-only magnetic moment:
$$ \mu = 0 $$
The correct answer is:
Option (1) - B and D only, since they have the same spin-only magnetic moment.
List I | List II | ||
---|---|---|---|
A | Mesozoic Era | I | Lower invertebrates |
B | Proterozoic Era | II | Fish & Amphibia |
C | Cenozoic Era | III | Birds & Reptiles |
D | Paleozoic Era | IV | Mammals |