Question

Dimensional formula for magnetic permeability $\mu $ is:
A) $[ML{T^{ - 2}}{A^{ - 2}}]$
B) $[{M^0}{L^{ - 1}}T]$
C) $[{M^0}{L^2}{T^{ - 2}}{A^{ - 2}}]$
D) \[[M{L^2}{T^{ - 2}}{A^{ - 2}}]\]

Answer 1

Hint: Magnetic permeability is a physical diagnostic property that characterises the degree of induced magnetism of a substance under the influence of a magnet field external to it. Magnetic properties are also seen by relative permeability in addition to magnetic permeability. Relative permeability determines whether the magnetization produced increases or decreases the magnetic flux density within a material.

Complete step by step solution:
The magnetic permeability is known as the magnetic induction ratio. It is a scalar number. Magnetic permeability allows one to measure a material's magnetic field resistance or to measure the extent to which a material can pass the magnetic field. If the material is more magnetic permeable, the conductivity of the magnetic force lines is higher. Permeability often depends on the quality of the material, moisture, medium location, temperature and strength of the force applied. The permeability of a magnetic field is always positive. In the meanwhile, magnetic relativity is the opposite of magnet permeability.

Diamagnetic is the property of an object that allows it to generate a magnetic field in opposition to a magnetic field externally applied, creating a repulsive effect. In fact, the external magnetic field alters the electrons' orbital speed along their kernels and shifts thereby the magnetic dipole moment against the external field.
Dimensional formula for magnetic permeability $\mu $ is $[ML{T^{ - 2}}{A^{ - 2}}].$

Hence the correct option for the given question is A.

Note: Magnetic susceptibility, a dimensional-less proportionality component suggesting the magnetization of a substance by reacting to a magnetic field, is a closely related feature of the materials. Dimensionless quantities are usually ratios of two quantities with same dimensions.