Physics-Potential Difference

NEET Physics Potential Difference MCQ Question

Type: MCQ-numerical-Hard-Class 12

A parallel plate capacitor has a dielectric inserted fully between its plates, altering the surface charge density to σσp\sigma - \sigma_p. If the potential difference across the capacitor plates is given by V=σσpε0dV = \frac{\sigma - \sigma_p}{\varepsilon_0}d, and the dielectric is linear, which of the following is true about the relationship between σ\sigma and σp\sigma_p?

A

σp\sigma_p is proportional to σ\sigma.

B

σp\sigma_p is inversely proportional to σ\sigma.

C

σp\sigma_p is independent of σ\sigma.

D

σp\sigma_p has no relation to σ\sigma.

Correct Answer

Option A

Detailed Explanation

In linear dielectrics, σp\sigma_p is proportional to E0E_0, which is in turn proportional to σ\sigma as per the NCERT context.

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