JEE Main 202225 JulyMorning Shift
- Exam
- JEE Main
- Year
- 2022
- Date
- 25 July
- Shift
- Morning Shift
- Subject
- Physics
- Chapter
- Units and Dimensions
JEE Main 2022 · 25 July · Morning Shift · Physics · Units and Dimensions
Which of the following physical quantities have the same dimensions?
Which of the following physical quantities have the same dimensions?
Options
- AElectric displacement and surface charge density
- BDisplacement current and electric field
- CCurrent density and surface charge density
- DElectric potential and energy
Correct answer
A. Electric displacement and surface charge density
Step-by-step solution
Electric displacement
\left[D\right] = \left[{ϵ}_{0}E\right] = \left[{ϵ}_{0}\dfrac{\sigma}{{ϵ}_{0}}\right]
\left[D\right] = \left[\sigma\right]
And surface charge density .
Thus, electric displacement \left(D\right) and surface charge density have same dimension.