A potentiometer circuit is set up as shown. The potential gradient across the potentiometer wire is k volt/cm and the ammeter, present in the circuit, reads 1.0 A when the two-way key is switched off. The balance points, when the key between the terminals (i) 1 and 2 (ii) 1 and 3, is plugged in, are found to be at lengths $l_1 cm$ and $l_2 cm$ respectively. The magnitudes, of the resistors R and X, in ohm, are then, equal, respectively, to 

1. $k(l_2-l_1) and k{l}_2$

2. $k{l}_1 and k(l_2-l_1)$

3. $k(l_2-l_1) and k{l}_1$

4. $k{l}_{1 }and k{l}_2$

A carbon resistor of (47 ± 4.7) kΩ is to be marked with rings of different colours for its identification. The colour code sequence will be:

1. Violet - Yellow - Orange - Silver

2. Yellow - Violet - Orange - Silver

3. Yellow - Green - Violet - Gold

4. Green - Orange - Violet - Gold

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

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

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

Five resistances are connected as shown in the figure. The effective resistance between the points A and B is :

(1) $\frac{10}{3}\Omega$

(2) $\frac{20}{3}\Omega$

(3) 15 Ω

(4) 6 Ω

In the figure shown, the capacity of the condenser C is $2\mu F$. The current in 2 Ω resistor is : 

(1) 9 A

(2) 0.9 A

(3) $\frac{1}{9}A$

(4) $\frac{1}{0.9}A$

Masses of three wires of copper are in the ratio of 1 : 3 : 5 and their lengths are in the ratio of 5 : 3 : 1. The ratio of their electrical resistances are :

(1) 1 : 3 : 5

(2) 5 : 3 : 1

(3) 1 : 15 : 125

(4) 125: 15: 1

The drift velocity of the electrons in a current-carrying  metallic conductor is of the order of 

1.  ${10}^4 \mathrm{m}/\mathrm{s}$

2.  ${10}^8 \mathrm{m}/\mathrm{s}$

3.  ${10}^0\mathrm{m}/\mathrm{s}$

4.  ${10}^{-4}\mathrm{m}/\mathrm{s}$

In a metre bridge experiment, the null point is obtained at 20 cm from one end of the wire when resistance X is balanced against another resistance Y. If X < Y, then where will be the new position of the null point from the same end, if one decides to balance a resistance of 4X against Y 

(1) 50 cm

(2) 80 cm

(3) 40 cm

(4) 70 cm