Q 11-01-078JEE MainJEE Main 2025 (23 Jan, Shift 1)Easy
The electric flux is $\phi = \alpha\sigma + \beta\lambda$, where $\lambda$ and $\sigma$ are linear and surface charge density, respectively. $\left(\dfrac{\alpha}{\beta}\right)$ represents
Answer: (D) displacement
Both terms have the dimension of flux, so $[\alpha\sigma] = [\beta\lambda]$:
$$\left[\frac{\alpha}{\beta}\right] = \left[\frac{\lambda}{\sigma}\right] = \frac{[Q/L]}{[Q/L^2]} = [L]$$
$\alpha/\beta$ has the dimension of length, i.e. displacement.
Solution by Sreeraj P, M.Sc Physics