Two batteries with emf \(12~\text{V}\) and \(13~\text{V}\) are connected in parallel across a load resistor of \(10~\Omega.\) The internal resistances of the two batteries are \(1~\Omega\) and \(2~\Omega\) respectively. The voltage across the load lies between:
1. \(11.6~\text{V}~\text{and}~11.7~\text{V}\)
2. \(11.5~\text{V}~\text{and}~11.6~\text{V}\)
3. \(11.4~\text{V}~\text{and}~11.5~\text{V}\)
4. \(11.7~\text{V}~\text{and}~11.8~\text{V}\)
A cell \(E_1\) of emf \(6~\text{V}\) and internal resistance \(2~\Omega\) is connected with another cell \(E_2\) of emf \(4~\text{V}\) and internal resistance \(8~\Omega\) (as shown in the figure). The potential difference across points \(X\) and \(Y\) is: