MHT CET 2022 Physics question

PhysicsElectrostatic Potential and CapacitanceMHT CET 2022

In a parallel plate air capacitor of plate separation 'd', a dielectric slab of thickness 't' is introduced between the plates (t < d). The capacitance becomes one-third of the original value. The dielectric constant of the slab will be

Answer: (A)

Solution

With a slab of thickness and dielectric constant the capacitance is , while . Setting gives , so and

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Question ID VK-093470