STANDARD Physics Capacitance MCQ Question
The capacitance of a parallel plate capacitor with air as medium is 3 μF. With the introduction of a dielectric medium between the plates, the capacitance becomes 15 μF. The permittivity of the medium is
5 C² N⁻¹ m⁻²
15 C² N⁻¹ m⁻²
0.44 × 10⁻¹⁰ C² N⁻¹ m⁻²
8.854 × 10⁻¹¹ C² N⁻¹ m⁻²
Correct Answer
Detailed Explanation
The capacitance increases by a factor of 5, indicating the dielectric constant K = 5. Using the relation C = Kε₀A/d, the permittivity ε = Kε₀ = 0.44 × 10⁻¹⁰ C² N⁻¹ m⁻².
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