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

1.		2.
3.		4.

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

1.  2 $\mathrm{\Omega }$

2.  4 $\mathrm{\Omega }$

3.  6 $\mathrm{\Omega }$

4.  8 $\mathrm{\Omega }$

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. \(\frac{v}{8}\)

A battery has e.m.f. 4 V and internal resistance r. When this battery is connected to an external resistance of 2 ohm, a current of 1 ampere flows in the circuit. How much current will flow if the terminals of the battery are connected directly?

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 A

2.  $\frac{20}{3}$ $\mathrm{A}$ $$

3.  $\frac{2}{3}$ $\mathrm{A}$ $$ $$

4.  $\frac{5}{3}$ $\mathrm{A}$

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 $\Omega$

3. 11.1 $\Omega$

The current through the 5 $\mathrm{\Omega }$ resistor is:

1. 3.2 A                     

2. 2.8 A

3. 0.8 A                     

4. 0.2 A

The current in a wire varies with time according to the relation i= (3+2t) A. The amount of charge passing a cross section of the wire in the time interval t=0 to t=4.0 sec would be: (where t is time in seconds)

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. (4/3)r

2. 3r/2

3. r/3

4. 8r/7