Question: 1: The dimensions \left[M L T^{-2} A^{-2}\right] belong to the
(1) Magnetic permeability
(2) Electric permittivity
(3) Magnetic flux
(4) Self inductance
Answer: Option (1)
Explanation:
Magnetic permeability \mu is defined from the relation between
magnetic field B and magnetic field intensity
H as B = \mu H.
The dimensional formula of magnetic field B is obtained from
the Lorentz force equation F = B I l,
which gives [B] = M T^{-2} A^{-1}.
The dimensional formula of magnetic field intensity
H is [H] = A L^{-1}.
Using \mu = \frac{B}{H}, the dimensions of magnetic permeability are
[\mu] = \frac{M T^{-2} A^{-1}}{A L^{-1}} = M L T^{-2} A^{-2}.
Thus, the given dimensional formula \left[M L T^{-2} A^{-2}\right]
corresponds to magnetic permeability.