In an experiment, a graph was plotted of the potential difference V between the terminals of a cell against the circuit current I by varying load rheostat. Internal conductance of the cell is given by :

(1) xy

(2) $\frac{y}{x}$

(3) $\frac{x}{y}$

(4) (x – y)

V-i graphs for parallel and series combination of two identical resistors are as shown in the figure. Which graph represents a parallel combination ?

1. A

2. B

3. A and B both

4. Neither A nor B

The ammeter has range 1 ampere without shunt. the range can be varied by using different shunt resistances. The graph between shunt resistance and range will have the nature

(1) P

(2) Q

(3) R

(4) S

A light bulb, a capacitor and a battery are connected together as shown below with the switch S initially open. When the switch S is closed, which one of the following is true?

1. The bulb will light up for an instant when
    the capacitor starts charging.
2. The bulb will light up when
    the capacitor is fully charged.
3. The bulb will not light up at all.
4. The bulb will light up and go off at regular intervals.

As in figure shown, if a capacitor C is charged by connecting it with resistance R, then energy  given by the battery will be 

(1) $\frac{1}{2}C{V}^2$

(2) More than $\frac{1}{2}C{V}^2$

(3) Less than $\frac{1}{2}C{V}^2$

(4) Zero

A battery consists of a variable number \('n'\) of identical cells having internal resistances connected in series. The terminals of battery are short circuited and the current \(i\) is measured. The graph below that shows the relationship between \(i\) and \(n\) is:

1.		2.
3.		4.

The V-I graph for a conductor makes an angle θ with V-axis. Here V denotes the voltage and I denotes current. The resistance of the conductor is given by :

(1) $\sin \theta$

(2) $\cos \theta$

(3) $\tan \theta$

(4) $\cot \theta$

A cylindrical conductor has a uniform cross-section. The resistivity of its material increases linearly from the left end to the right end. If a constant current is flowing through it and at a section distance x from the left end, the magnitude of electric field intensity is E, which of the following graphs is correct :

(1)

(2)

(3)

(4)

The V-I graph for a conductor at temperature T₁ and T₂ are as shown in the figure. $(T_2-T_1)$ is proportional to :

(1) $\cos 2\theta$

(2) $\sin \theta$

(3) $\cot 2\theta$

(4) $\tan \theta$

When a current I is passed through a wire of constant resistance, it produces a potential difference V across its ends. The graph drawn between log I and log V will be

(1)

(2)

(3)

(4)