If B is magnetic field and is permeability of free space, then the dimensions of () is [2025]

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Solution

Q.
If B is magnetic field and $μ_{0}$ is permeability of free space, then the dimensions of ( $B / μ_{0}$ ) is [2025]

1 $M T^{- 2} A^{- 1}$

2 $L^{- 1} A$

3 $L T^{- 2} A^{- 1}$

4 $M L^{2} T^{- 2} A^{- 1}$

Ans.
(2)

Magnetic field at the axis of a long solenoid, $B = μ_{0} n i$

$[\frac{B}{μ_{0}}] = [n i] = L^{— 1} A$

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