To measure the capacitance of a conductor, it is first charged to a potential $V_0=1350 \mathrm{V}$. It is then connected by a conducting wire to a distant metal sphere of radius $r=3 \mathrm{cm}$. As result the conductor's potential drops to $V_1=900 \mathrm{V}$. Choose the correct option(s).

Two rods of copper and iron with the same cross-sectional area are joined at $S$ and a steady current $I$ flows through the rods as shown in the figure.

Choose the most appropriate representation of charges accumulated near the junction $S$.

In the circuit shown, the switch $S$ is initially closed for a long time. The switch is now opened so that the capacitor gets charged.

The time constant of the circuit is

In the circuit shown in the figure, the total charge is $750 \mu C$ and the voltage across capacitor $C_2$ is $20 \mathrm{V}$. Then the charge on capacitor ${\mathrm{C}}_2$ is :

In the given circuit diagram,

$E=5 \mathrm{V}, r=1 \mathrm{\Omega }, R_2=4 \mathrm{\Omega }, R_1=R_3=1 \mathrm{\Omega }$ and $C=3 \mu \mathrm{F}$

Then, what will be the numerical value of charge on each plates of the capacitor.

As shown in the figure below, if a capacitor $C$ is charged by connecting it with resistance $R,$ then energy given by the battery will be

As shown in the figure, two particles, each of mass $\text{'}m\text{'}$ tied at the ends of a light string of length $2a$ are kept on a frictionless horizontal surface. When the mid point $\left(P\right)$ of the string is pulled vertically upwards with a small but constant force $F,$ the particles move towards each other on the surface. Magnitude of acceleration of each particle, when the separation between them becomes $2x$ is

A capacitor of $\mathrm{2 }\mathrm{\mu F}$ is charged as shown in the diagram. When the switch $\mathit{\text{S}}$ is turned to position $2$, the percentage of its stored energy dissipated is