Embibe Experts Solutions for Chapter: Capacitance, Exercise 1: KCET (UG) 2021

If a slab of insulating material, $4\times {10}^{-3} \mathrm{m}$ thick is introduced between the plates of a parallel plate capacitor, the separation between the plates has to be increased by $3.5\times {10}^{-3} \mathrm{m}$ to restore the capacity to original value. The dielectric constant of the material will be

Eight drops of mercury of equal radii combine to form a big drop. The capacitance of a bigger drop as compared to each smaller drop is

An electrician requires a capacitance of $6\mu \mathrm{F}$ in a circuit across a potential difference of $1.5\mathrm{kV}$. A large number of $2\mu \mathrm{F}$ capacitors which can withstand a potential difference of not more than $500 \mathrm{V}$ are available. The minimum number of capacitors required for the purpose is

Which of the statements is false in the case of polar molecules?

The difference between equivalent capacitances of two identical capacitors connected in parallel to that in series is $6\mu \mathrm{F}$. The value of capacitance of each capacitors is

For the arrangement of capacitors as shown in the circuit, the effective capacitance between point $A$ and $B$ is (capacitance of each capacitor is $4\mu F)$

Two capacitors of $3 \mathrm{\mu F}$ and $6 \mathrm{\mu F}$ are connected in series and a potential difference of $900 \mathrm{V}$ is applied across the combination. They are then disconnected and reconnected in parallel. The potential difference across the combination is

In figure, charge on the capacitor is plotted against potential difference across the capacitor. The capacitance and energy stored in the capacitor are respectively.