MCQ
Dimensions of gyromagnetic ratio are
- A$\left[ L ^1 M ^0 T ^1 I ^{ I }\right]$
- ✓$\left[ L ^0 M ^{-1} T ^1 I ^1\right]$
- C$\left[ L ^1 M ^0 I ^0 T ^{-1}\right]$
- D$\left[ L ^{-1} M ^0 T ^1 I ^1\right]$
✓
Answer
Correct option: B.
$\left[ L ^0 M ^{-1} T ^1 I ^1\right]$
(b) : Gyromagnetic ratio of particle or a system is defined as the ratio of its magnetic moment to its angular momentum.
$
\therefore \quad \gamma=\frac{\text { Magnetic moment }}{\text { Angular momentum }}
$
or $[\gamma]=\frac{\left[ L ^2 I \right]}{\left[ L ^2 MT ^{-1}\right]}=\left[ L ^0 M ^{-1} T ^1 I ^1\right]$
$
\therefore \quad \gamma=\frac{\text { Magnetic moment }}{\text { Angular momentum }}
$
or $[\gamma]=\frac{\left[ L ^2 I \right]}{\left[ L ^2 MT ^{-1}\right]}=\left[ L ^0 M ^{-1} T ^1 I ^1\right]$
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