Question

Which of the following sets have different dimensions?

• A. Pressure, young’s modulus, stress
• B. Emf, potential difference, electric potential
• C. Heat, work done, energy
• D. Dipole moment, electric flux, electric field

Answer 1

The correct option is D

Dipole moment, electric flux, electric field

Dimension :

A dimension is a measurement that includes things like length, width, and height. When you talk about an object's or place's dimensions, you're referring to its size and proportions.

Explanation for correct answer :

Electric flux = Electric field strength x area

$$\begin{gathered} =\left[ML{T}^{-3}{A}^{-1}\right]\left[L^2\right] \\ =\left[M{L}^3{T}^{-3}{A}^{-1}\right] \end{gathered}$$

Electric field = Force per unit charge

$=\left[ML{T}^{-3}{A}^{-1}\right]$

Electric dipole moment=charge × distance between charges

$$\begin{gathered} =\left[AT\right]x\left[L\right] \\ =\left[ALT\right] \end{gathered}$$

Hence dipole moment, electric flux, and electric field all three have different dimensions, so the correct option is D.