Four identical cells each having an electromotive force (e.m.f.) of 12V, are connected in parallel. The resultant electromotive force (e.m.f.) of the combination is :

1. 48 V

2. 12 V

3. 4 V

4. 3 V

A capacitor is connected to a cell of emf E having some internal resistance r. The potential difference in steady state across the 

1. Cell is < E

2. Cell is E

3. Capacitor is > E

4. Capacitor is < E

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

In the circuit shown here, E₁ = E₂ = E₃ = 2 V and R₁ = R₂ = 4 ohms. The current flowing between points A and B through battery E₂ is 

1. Zero

2. 2 amp from A to B

3. 2 amp from B to A

4. None of the above

The equivalent resistance between the points P and Q in the network given here is equal to (given $r=\frac{3}{2}\Omega$) :

1. $\frac{1}{2}\Omega$

2. 1 Ω

3. $\frac{3}{2}\Omega$

4. 2 Ω

The current in a conductor varies with time t as $I=2t+3t^2$ where I is in ampere and t in seconds. The electric charge flowing through a section of the conductor during t = 2 sec to t = 3 sec is :

1. 10 C

2. 24 C

3. 33 C

4. 44 C

A group of N cells whose emf varies directly with the internal resistance as per the equation E_N = 1.5 r_N are connected as shown in the figure below. The current I in the circuit is 

1. 0.51 A

2. 5.1 A

3. 0.15 A

4. 1.5 A

As the switch S is closed in the circuit shown in the figure, the current passed through it is :

1. 4.5 A

2. 6.0 A

3. 3.0 A

4. Zero

In the circuit shown in figure reading of voltmeter is V₁ when only S₁ is closed, reading of voltmeter is V₂ when only S₂ is closed and reading of voltmeter is V₃ when both S₁ and S₂ are closed. Then

1. V₃ > V₂ > V₁

2. V₂ > V₁ > V₃

3. V₃ > V₁ > V₂

4. V₁ > V₂ > V₃

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) $\tan \theta$