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

Three equal resistances each of value $R$ are joined as shown in the figure. The equivalent resistance between $M$ and $N$ is

Two resistances of $400 \Omega$ and $800 \Omega$ are connected in series with a $6 \text{ V}$ battery of negligible internal resistance. $A$ voltmeter of resistance $10000 \Omega$ is used to measure the potential difference across the $400 \Omega$ resistor. The error in the measurement of potential difference in volts is approximately:

Two wires of thickness $1 \, mm$ and $2 \, mm$ have the same mass of copper. The two wires are connected in series and a current is passed through them. The ratio of the power generated in the wires will be ....

The potential difference across the $8 \ \Omega$ resistance is $48 \ V$ as shown in the figure. The value of the potential difference across points $X$ and $Y$ will be: (in $V$)

When a resistor of $11 \Omega$ is connected in series with an electric cell,the current flowing in it is $0.5 \ A$. Instead,when a resistor of $5 \Omega$ is connected to the same electric cell in series,the current increases by $0.4 \ A$. The internal resistance of the cell is (in $Omega$)