Question

Which of the following statements regarding dimensions is correct?

• A. The dimension of any physical quantity includes the power fundamental physical quantities.
• B. Radian is a fundamental physical quantity having dimension.
• C. Mutual inductance has no dimension.
• D. Dimension of work is same as rate of work done

Answer 1

The correct option is A The dimension of any physical quantity includes the power fundamental physical quantities.

Dimensional formula includes power of fundamental quantites.

For example ; Unit of force is [$M^1{L}^1{T}^{-2}$]

Radian is not a fundamental physical quantity it comes under supplementary units.

Dimension of work is $\left[M^1{L}^2{T}^{-2}\right]$ whereas rate of doing work is $\left[M^1{L}^2{T}^{-3}\right]$