A student measures the terminal potential difference \(V\) of a cell (of emf \( E\) and internal resistance \(R\)) as a function of the current \(I\) flowing through it. The slope and intercept of the graph between \(V\) and \(I\), respectively, is equal to:

1. \(E\) and \(-r\)
2. \(-r\) and \(E\)

3. \(r\) and \(-E\)

4. \(-E\) and \(r\)

See the electrical circuit shown in this figure. Which of the following is a correct equation for it?
                                  

A current of \(3~\text{A}\) flows through the \(2~\Omega\) resistor shown in the circuit. The power dissipated in the \(5~\Omega\) resistor is:
    

A cell can be balanced against 100 cm and 110 cm of potentiometer wire, respectively with and without being short-circuited through a resistance of 10 Ω. Its internal resistance is:

1.  1.0 Ω

2.  0.5 Ω

3.  2.0 Ω

4.  zero

The total power dissipated in watts in the circuit shown below is:

Three resistances \(\mathrm P\), \(\mathrm Q\), and \(\mathrm R\), each of \(2~\Omega\) and an unknown resistance \(\mathrm{S}\) form the four arms of a Wheatstone bridge circuit. When the resistance of \(6~\Omega\) is connected in parallel to \(\mathrm{S}\), the bridge gets balanced. What is the value of \(\mathrm{S}\)?
1. \(2~\Omega\)
2. \(3~\Omega\)
3. \(6~\Omega\)
4. \(1~\Omega\)

The power dissipated across the 8 Ω resistor in the circuit shown here is 2 W. The power dissipated in watts across the 3 Ω resistor is: