Ratio of thermal energy released in two resistors $R$ and $3R$ connected in parallel in an electric circuit is:

In the circuit shown in the figure,the resistance of the voltmeter is $6 \, k\Omega$. The voltmeter reading will be ................. $V$.

For what value of resistance $R$ in the given circuit will the galvanometer reading be zero (in $\Omega$)? The internal resistance of both batteries is negligible.

$A$ cell of constant $e.m.f.$ is first connected to a resistance $R_1$ and then connected to a resistance $R_2$. If the power delivered in both cases is the same,then the internal resistance of the cell is:

The potential difference across the terminals of the battery shown in the figure is .................... $V$. ($E = 10 \ V$,$r = 1 \ \Omega$,external resistance $R = 4 \ \Omega$) (in $V$)

In the figure shown,battery $1$ has $emf = 6\, V$ and internal resistance $= 1\, \Omega$. Battery $2$ has $emf = 2\, V$ and internal resistance $= 3\, \Omega$. The wires have negligible resistance. What is the potential difference across the terminals of battery $2$ (in $, V$)?