JEE Main 2025 Jan 22 Shift 1, Physics Q15: Units And Dimensions

JEE Main2025Jan 22, Shift 1Physics

If B is magnetic field and $μ_{0}$ is permeability of free space, then the dimensions of $(B / μ_{0})$ is

A
MT $^{- 2}$ A $^{- 1}$
B
L $^{- 1}$ A
C
LT $^{- 2}$ A $^{- 1}$
D
ML $^{2}$ T $^{- 2}$ A $^{- 1}$

Solution

From the solenoid relation $B = μ_{0} ni$ , we have $\frac{B}{μ _{0}} = ni$ , where $n$ is turns per unit length (units: m $^{- 1}$ ) and $i$ has units of A.

So $[\frac{B}{μ _{0}}] = [L^{- 1}] [A] = L^{- 1} A$ .

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JEE Main 2025 Jan 22 Shift 1, Physics Q15: Units And Dimensions

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