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

Variation of current passing through a conductor with the voltage applied across its ends varies is shown in the diagram below. If the resistance (R) is determined at points A, B, C and D, we will find that:

For a cell, the graph between the potential difference \((V)\) across the terminals of the cell and the current \((I)\) drawn from the cell is shown in the figure below. The emf and the internal resistance of the cell are, respectively:

1. \(2~\text{V}, 0.5 ~\Omega\)
2. \(2~\text{V}, 0.4 ~\Omega\)
3. \(>2~\text{V}, 0.5 ~\Omega\)
4. \(>2~\text{V}, 0.4 ~\Omega\)

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.

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

A resistance of 4 Ω and a wire of length 5 metres and resistance 5 Ω are joined in series and connected to a cell of e.m.f. 10 V and internal resistance 1 Ω. A parallel combination of two identical cells is balanced across 300 cm of the wire. The e.m.f. E of each cell is:

1. 1.5 V

2. 3.0 V

3. 0.67 V

4. 1.33 V