A battery of e.m.f. E and internal resistance r is connected to a variable resistor R as shown below. Which one of the following is true​​​​​​?

          

1.	Potential difference across the terminals of the battery is maximum when R = r.
2.	Power delivered to the resistor is maximum when R = r.
3.	Current in the circuit is maximum when R = r.
4.	Current in the circuit is maximum when R >> r.

The current in the arm CD of the circuit will be:
           
1. $i_1+i_2$

2. $i_2+i_3$

3. $i_1+i_3$

4. $i_1-i_2+i_3$

Consider the circuit shown in the figure below. The current I₃ is equal to:

1. 5 A

2. 3 A

3. –3 A

4. –5/6 A

In the Wheatstone's bridge (shown in the figure below) X = Y and A > B. The direction of the current between a and b will be:

In the circuit given below, the e.m.f. of the cell is 2 volt and the internal resistance is negligible. The resistance of the voltmeter is 80 ohm. The reading of the voltmeter will be:                                 
1. 0.80 volt

2. 1.60 volt

3. 1.33 volt

4. 2.00 volt

In the circuit shown below, E₁ = 4.0 V, R₁= 2 Ω, E₂ = 6.0 V, R₂ = 4 Ω and R₃ = 2 Ω. The current I₁ is:

1. 1.6 A

2. 1.8 A

3. 1.25 A

4. 1.0 A

The potential difference across 8 ohms resistance is 48 volts as shown in the figure below. The value of potential difference across X and Y points will be:

1. 160 volt

2. 128 volt

3. 80 volt

4. 62 volt

What is the equivalent resistance between terminals A and B of the network?

1. $\frac{57}{7}\Omega$

2. 8 Ω

3. 6 Ω

4. $\frac{57}{5}\Omega$

The effective resistance between points P and Q of the electrical circuit shown in the figure is:
            

1. $2Rr/(R+r)$

2. $8R$ $(R+r)/(3R+r)$

3. $2r+4R$

4. $5R/2$ $+$ $2r$

12 cells each having the same emf are connected in series with some cells wrongly connected. The arrangement is connected in series with an ammeter and two similar cells which are in series. Current is 3 A when cells and battery aid each other and is 2 A when cells and battery oppose each other. The number of cells wrongly connected is/are:

1. 4

2. 1

3. 3

4. 2