JEE Main 2019 Physics question

PhysicsElectrostatic Potential and CapacitanceJEE Main 2019

The parallel combination of two air filled parallel plate capacitors of capacitance C and nC is connected to a battery of voltage, V. When the capacitors are fully charged, the battery is removed and after that a dielectric material of dielectric constant K is placed between the two plates of the first capacitor. The new potential difference of the combined system is:

Answer: (C)

Solution

Charge (n + 1)CV is conserved; new capacitance (K + n)C.

Question ID VK-009758