Question

The dimensional formula for magnetic moment is :

• A. $\left[M^0{L}^2{T}^0{A}^1\right]$
• B. $\left[M^0{L}^1{T}^0{A}^2\right]$
• C. $\left[M^0{L}^2{T}^0{A}^2\right]$
• D. $\left[M^0{L}^0{T}^1{A}^1\right]$

Answer 1

The correct option is A $\left[M^0{L}^2{T}^0{A}^1\right]$

While solving questions related to finding dimensional formulae, think about writing the given physical quantity in terms of other physical quantities whose dimensional formula is known.

The magnitude of magnetic moment for a closed loop is proportional to:

• $Current\left[M^0{L}^0{T}^0{A}^1\right]$
• $\text{Area of the loop}\left[M^0{L}^2{T}^0{A}^0\right]$

Therefore the dimensional formula for magnetic moment = $\left[M^0{L}^2{T}^0{A}^1\right]$