Q 12-02-017NEETNEET 2020Top questionEasy
The capacitance of a parallel plate capacitor with air as medium is $6\ \mu$F. With the introduction of a dielectric medium, the capacitance becomes $30\ \mu$F. The permittivity of the medium is : ($\epsilon_0 = 8.85 \times 10^{-12}\ \text{C}^2\text{N}^{-1}\text{m}^{-2}$)
Answer: (C) $0.44 \times 10^{-10}\ \text{C}^2\text{N}^{-1}\text{m}^{-2}$
Concept. $K = \dfrac{C}{C_0}$, $\epsilon = K\epsilon_0$.
Step 1. $K$. $5$.
Step 2. Permittivity. $44.25 \times 10^{-12} \approx 0.44 \times 10^{-10}$.
Answer. $0.44 \times 10^{-10}\ \text{C}^2\text{N}^{-1}\text{m}^{-2}$ (Option C).
Solution by Sreeraj P, M.Sc Physics