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If \(B\) is magnetic field and \({\mu }_{0}\) is permeability of free space, then the dimensions of \(\left(B/{\mu }_{0}…

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If \(B\) is magnetic field and \({\mu }_{0}\) is permeability of free space, then the dimensions of \(\left(B/{\mu }_{0}\right)\) is

[JEE Main 2025, 22 Jan (Shift 1)]

a

\({\mathrm{ML}}^{2}{\mathrm{T}}^{-2}{\mathrm{A}}^{-1}\)

b

\({\mathrm{MT}}^{-2}{\mathrm{A}}^{-1}\)

c

\({\mathrm{LT}}^{-2}{\mathrm{A}}^{-1}\)

d

\({\mathrm{L}}^{-1}\mathrm{A}\)

✓ Correct answer: d)

\({\mathrm{L}}^{-1}\mathrm{A}\)

Explanation

Magnetic field in long solenoid

\(\left[\frac{B}{{\mu }_{0}}\right]=[ni]={L}^{-1}{A}^{1}\). (n=number of turns per unit length)

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