Q.
The electric flux is $\phi=\alpha\sigma+\beta\lambda$ where $\lambda$ and $\sigma$ are linear and surface charge density, respectively. $\left(\frac\alpha\beta\right)$ represents
A) electric field
B) area
C) charge
D) displacement
Explanation
[Solution by Dr. Abubacker] $[\alpha]=\frac{[\phi]}{[\sigma]}$ and $[\beta]=\frac{[\phi]}{[\lambda]}$, so $\frac\alpha\beta=\frac\lambda\sigma=\frac{C\,m^{-1}}{C\,m^{-2}}=m$, which has the dimension of length, i.e. a displacement. Answer (4).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.