Effect of Dielectric — MCQ Practice

A parallel plate capacitor has a capacitance $C_0$ in air. When a dielectric slab of dielectric constant K is introduced between the plates, completely filling the space, and the capacitor remains connected to the battery, which of the following statements is INCORRECT?

An isolated parallel plate capacitor has a charge $Q_0$ and stores energy $U_0$. If a dielectric slab of dielectric constant K is inserted between the plates, completely filling the space, what happens to the charge and energy stored?

A parallel plate capacitor has plates of area A and separation d. It is filled with two dielectric slabs of dielectric constants $K_1$ and $K_2$. The first slab has thickness $d/2$ and the second slab also has thickness $d/2$. What is the capacitance of this arrangement?

A parallel plate capacitor has plates of area A and separation d. It is filled with two dielectric slabs of dielectric constants $K_1$ and $K_2$. The first slab covers half the area ($A/2$) with thickness d, and the second slab covers the other half area ($A/2$) with thickness d. What is the capacitance of this arrangement?

A parallel plate capacitor has a capacitance of $100 \text{ pF}$ in air. It is charged to a potential difference of $50 \text{ V}$ and then disconnected from the battery. A dielectric slab of dielectric constant $K=5$ is then inserted, completely filling the space between the plates. What is the new potential difference across the capacitor?

A parallel plate capacitor is connected to a $100 \text{ V}$ battery. Its capacitance is $20 \text{ \mu F}$. A dielectric slab of dielectric constant $K=4$ is inserted, completely filling the space between the plates. How much additional charge flows from the battery to the capacitor?