In the circuit shown, the currents i₁ and i₂ are

• i₁ = 1.5 A, i₂ = 0.5 A

• i₁ = 0.5 A, i₂ = 1.5 A

• i₁ = 1 A, i₂ = 3 A

• i₁ = 3 A, i₂ = 1 A

A conductor wire having 10²⁹ free electrons / m³ carries a current of 20A. If the cross-section of the wire is 1 mm², then the drift velocity of electrons will be (e = 1.6 × 10^-19 C)

• 1.25 × 10^-4 ms^-1

• 1.25 × 10^-3 ms^-1

• 1.25 × 10^-5 ms^-1

• 6.25 × 10^-3 ms^-1

A resistor has a colour code of green, blue, brown and silver. What is its resistance ?

• 56 Ω ± 5 %

• 560 Ω ± 10 %

• 560 Ω ± 5 %

• 5600 Ω ± 10 %

The voltage V and current I graph for a conductor at two different temperatures T₁ and T₂ and shown in the figure. The relation between T₁ and T₂ is

• T₁ > T₂

• T₁ < T₂

• T₁ = T₂

• ${\mathrm{T}}_1 = \frac{1}{{\mathrm{T}}_2}$

Consider the following statements regarding the network shown in the figure.

1. The equivalent resistance of the network between points A and Bis independent of value of G.
2. The equivalent resistance of the network between points A and B is $\frac{4}{3} \mathrm{R}$.
3. The current through G is zero.

Which of the above statements is/are true ?

• (1) alone

• (2) alone

• (2) and (3)

• (1), (2) and (3)

In this circuit, when certain current flows, the heat produced in 5 Ω is 4.05 J in a time t. The heat produced in 2 Ω coil in the same time interval is

• 2.02

• 5.76

• 1.44

• 2.88

177.

In this circuit,the value of I₂ is     

• 0.6 A

• 0.2 A

• 0.3 A

• 0.4 A

A straught current carrying conductor is kept along the axis of circular loop carrying current. The force exerted by the straight conductor on the loop is

• zero.

• perpendicular to the plane of the loop.

• in the plane of the loop, away from the centre.

• in the plane of the loop, towards the centre.

A current of 2 A is passing through a metal wire of cross- sectional area 2 x 10^-6 m². If the number density of free electrons in the wire is 5 × 10²⁶ m^-3, the drift speed of electrons is (Given, e = 1.6 x 10^-19 C)

• $\frac{1}{32} {\mathrm{ms}}^{-1}$

• $\frac{1}{16} {\mathrm{ms}}^{-1}$

• $\frac{1}{40} {\mathrm{ms}}^{-1}$

• $\frac{1}{80} {\mathrm{ms}}^{-1}$

Three conductors draw currents of 1 A, 2 A and 3 A respectively, when connected in turn across a battery. If they are connected in series and the combination is connected across the same battery, the current drawn will be

• $\frac{2}{7} \mathrm{A}$

• $\frac{3}{7} \mathrm{A}$

• $\frac{6}{11} \mathrm{A}$

• $\frac{5}{7} \mathrm{A}$