In the circuit shown in the figure, the effective resistance between \(A\) and \(B\) is:

                            

1. \(2~\Omega\)
2. \(4~\Omega\)
3. \(6~\Omega\)
4. \(8~\Omega\)

The drift velocity of free electrons in a conductor is \(v\) when a current \(i\) is flowing in it. If both the radius and current are doubled, then the drift velocity will be:
1.  \(v\)
2. \(\frac{v}{2}\)$$
3. \(\frac{v}{4}\)$$
4. \(\frac{v}{8}\)

The equivalent resistance between \(A\) and \(B\) is:

1. \(3~\Omega\)
2. \(6~\Omega\)
3. \(9~\Omega\)
4. \(12~\Omega\)$$

The current \(I\) as shown in the circuit will be:

1. \(10~\text{A}\)
2. \(\frac{20}{3}~\text{A}\)
3. \(\frac{2}{3}~\text{A}\)
4. \(\frac{5}{3}~\text{A}\)

A meter bridge is set up to determine unknown resistance \(x\) using a standard \(10~\Omega\) resistor. The galvanometer shows the null point when the tapping key is at a \(52\) cm mark. End corrections are \(1\) cm and \(2\) cm respectively for end \(A\) and \(B\). Then the value of \(x\) is:

  
1. \(10.2~\Omega\)
2. \(10.6~\Omega\)
3. \(10.8~\Omega\)
4. \(11.1~\Omega\)

The current through the \(5~\Omega\) resistor is:

1. \(3.2\) A                     

2. \(2.8\) A

3. \(0.8\) A                     

4. \(0.2\) A

In the circuit shown, the value of each of the resistances is \(r\). The equivalent resistance of the circuit between terminals \(A\) and \(B\) will be:
        
1. \(\frac{4r}{3}\)
2. \(\frac{3r}{2}\)
3. \(\frac{r}{3}\)
4. \(\frac{8r}{7}\)

Which of the following graph correctly represents the variation of mobility \((\mu)\) of electrons with applied electric field \((E)\) in a metallic conductor?

1.		2.
3.		4.