JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
If \(B\) is magnetic field and \(\mu_0\) is permeability of free space, then the dimensions of \(\left(B / \mu_0\right)\) is
- A \(\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~A}^{-1}\)
- B \(\mathrm{MT}^{-2} \mathrm{~A}^{-1}\)
- C \(\mathrm{L}^{-1} \mathrm{~A}\)
- D \(\mathrm{LT}^{-2} \mathrm{~A}^{-1}\)
Answer & Solution
Correct Answer
(C) \(\mathrm{L}^{-1} \mathrm{~A}\)
Step-by-step Solution
Detailed explanation
For a current carrying loop at centre \(\begin{aligned} & B=\frac{\mu_0 i}{2 R} \\ & \therefore \quad \frac{B}{\mu_0} \equiv \frac{i}{R} \equiv\left[\mathrm{AL}^{-1}\right] \end{aligned}\)
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