$A$ voltmeter of resistance $998\ \Omega$ is connected to a cell of $emf$ $2\ V$ and internal resistance $2\ \Omega$. The error in the measurement of $emf$ will be:

An ideal cell of emf $10\, V$ is connected in the circuit shown in the figure. Each resistance is $2\, \Omega$. The potential difference (in $V$) across the capacitor when it is fully charged is

Each element in the finite chain of resistors shown in the figure is $1\,\Omega $. $A$ current of $1\, A$ flows through the final element. Then what is the potential difference $V$ across input terminals of the chain (in $,V$)?

In the given circuit,the voltmeter records $5 \, V$. The resistance of the voltmeter in $ohms$ is

The magnitude of $i$ in ampere unit is

Three identical batteries are connected in series with a wire of length $L$. The temperature of the wire increases by $T$ in time $t$. If $N$ such batteries are connected in series with a wire of the same material but length $2L$,the temperature increases by the same amount $T$ in the same time $t$. Find the value of $N$.