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

If you are provided three resistances 2 Ω, 3 Ω and 6 Ω. How will you connect them so as to obtain the equivalent resistance of 4 Ω 

(1)

(2)

(3)

(4) None of these

The equivalent resistance and potential difference between A and B for the circuit is respectively 

(1) 4 Ω, 8 V

(2) 8 Ω, 4 V

(3) 2 Ω, 2 V

(4) 16 Ω, 8 V

Five equal resistances each of resistance R are connected as shown in the figure. A battery of V volts is connected between A and B. The current flowing in AFCEB will be 

(1) $\frac{3V}{R}$

(2) $\frac{V}{R}$

(3) $\frac{V}{2R}$

(4) $\frac{2V}{R}$

For the network shown in the figure the value of the current i is 

(1) $\frac{9V}{35}$

(2) $\frac{5V}{18}$

(3) $\frac{5V}{9}$

(4) $\frac{18V}{5}$

When a wire of uniform cross-section a, length l and resistance R is bent into a complete circle, the resistance between any two of diametrically opposite points will be :

(1) $\frac{R}{4}$

(2) $\frac{R}{8}$

(3) 4R

(4) $\frac{R}{2}$ 

In the circuit given E = 6.0 V, R₁ = 100 ohms, R₂ = R₃ = 50 ohms, R₄ = 75 ohms. The equivalent resistance of the circuit, in ohms, is 

(1) 11.875

(2) 26.31

(3) 118.75

(4) None of these

By using only two resistance coils-singly, in series, or in parallel one should be able to obtain resistances of 3, 4, 12, and 16 ohms. The separate resistances of the coil are :

(1) 3 and 4

(2) 4 and 12

(3) 12 and 16

(4) 16 and 3

In the adjoining circuit, the battery E₁ has an e.m.f. of 12 volts and zero internal resistance while the battery E has an e.m.f. of 2 volts. If the galvanometer G reads zero, then the value of the resistance X in ohm is 

(1) 10

(2) 100

(3) 500

(4) 200