If each of the resistance of the network shown in the figure is R, the equivalent resistance between A and B is 

1. 5 R

2. 3 R

3. R

4. R/2

Thirteen resistances each of resistance R ohm are connected in the circuit as shown in the figure below. The effective resistance between A and B is 

1. 2R Ω

2. $\frac{4R}{3}\Omega$

3. $\frac{2R}{3}\Omega$

4. R Ω

For what value of unknown resistance X, the potential difference between B and D will be zero in the circuit shown in the figure 

1. 4 Ω

2. 6 Ω

3. 2 Ω

4. 5 Ω

An unknown resistance R₁ is connected in series with a resistance of 10 Ω. This combinations is connected to one gap of a metre bridge while a resistance R₂ is connected in the other gap. The balance point is at 50 cm. Now, when the 10 Ω resistance is removed the balance point shifts to 40 cm. The value of R₁ is (in ohm) 

1. 60

2. 40

3. 20

4. 10

A wire has a resistance of 6 Ω. It is cut into two parts and both half values are connected in parallel. The new resistance is :

1. 12 Ω

2. 1.5 Ω

3. 3 Ω

4. 6 Ω

Six equal resistances are connected between points P, Q and R as shown in the figure. Then the net resistance will be maximum between

1. P and Q

2. Q and R

3. P and R

4. Any two points

The total current supplied to the circuit by the battery is:

1. \(1~\text{A}\)
2. \(2~\text{A}\)
3. \(4~\text{A}\)
4. \(6~\text{A}\)

An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the lengths and radii of the wires are in the ratio of 4/3 and 2/3, then the ratio of the currents passing through the wire will be 

1. 3

2. 1/3

3. 8/9

4. 2

In circuit shown below, the resistances are given in ohms and the battery is assumed ideal with emf equal to \(3\) volt. The voltage across the resistance \(R_4\) is:

1. \(0.4\) V
2. \(0.6\) V
3. \(1.2\) V
4. \(1.5\) V