Question

Dimensional formula of permeability is  

(A) \([MLT ^ {- 2} A ^{ - 2}]\)

(B) \([MLT ^ 2 A ^ {- 2}]\)

(C) \([MLT ^ 2 A ^ 2]\)

(D) \([ML T ^{ - 2} A]\)

Answer 1

Correct option is : (A) \([MLT ^ {- 2} A ^{ - 2}]\)

The permeability of free space (vacuum permeability) is a physical constant denoted by \(\mu_0\). It is defined as the measure of the ability of a material to support the formation of a magnetic field within itself. The dimensional formula of permeability can be derived from the relationship between magnetic field (B), magnetic field strength (H), and permeability \((\mu)\). The relationship is given by \(B = \mu H\). The dimensional formula of B is \([MT^{-2}I^{-1}]\) and H is \([I \ L^{-1}]\). Therefore, the dimensional formula of μ is obtained by dividing the dimensional formula of B by the dimensional formula of H.

Answer 2

Correct option is (A) \([MLT ^ {- 2} A ^{ - 2}]\)