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 resistor of 500 Ω, an inductance of 0.5 H are in series with an AC, which is given by $\mathrm{V} = 100\sqrt{2} \sin \left(1000 \mathrm{t}\right)$. The power factor of the combination is

• 0.6

• $\frac{1}{\sqrt{2}}$

• $\frac{1}{\sqrt{3}}$

• 0.5

Pick out the wrong statement.

• An electron at rest experiences no force in the magnetic field

• The gain in the KE of the electron moving at right angles to the magnetic field is zero

• When an electron is shot at right angles to the electric field, it traces a parabolic path

• An electron moving in the direction of the electric field gains KE

Acceleration of a charged particle of charge q and mass m moving in a uniform electric field of strength E is

• $\frac{\mathrm{q}}{\mathrm{mE}}$

• $\frac{\mathrm{qE}}{\mathrm{m}}$

• $\frac{\mathrm{m}}{\mathrm{qE}}$

• mqE

26.

A capacitor of capacitance 10 µF is charged to 10 V. The energy stored in it is

• 1 µJ

• 100 µJ

• 500 µJ

• 1000 µJ

Which of the following graphs correctly represents the variation of heat energy (U) produced in a metallic conductor in a given time as a function of potential difference (V) across the conductor ?

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)

• $\frac{1}{32} {\mathrm{ms}}^{-1}$

• $\frac{1}{16} {\mathrm{ms}}^{-1}$

• $\frac{1}{40} {\mathrm{ms}}^{-1}$

• $\frac{1}{80} {\mathrm{ms}}^{-1}$

Magnetic field at a distance r from an infinitely long straight conductor carrying a steady current varies as

• $\frac{1}{\sqrt{\mathrm{r}}}$

• $\frac{1}{{\mathrm{r}}^2}$

• $\frac{1}{\mathrm{r}}$

• $\frac{1}{{\mathrm{r}}^3}$

In the loop shown, the magnetic induction at the point O is

• zero

• $\frac{{\mathrm{\mu }}_0\mathrm{I}}{8} \left(\frac{{\mathrm{R}}_1 - {\mathrm{R}}_2}{{\mathrm{R}}_1{\mathrm{R}}_2}\right)$

• $\frac{{\mathrm{\mu }}_0\mathrm{I}}{8} \left(\frac{{\mathrm{R}}_1 + {\mathrm{R}}_2}{{\mathrm{R}}_1{\mathrm{R}}_2}\right)$

• $\frac{{\mathrm{\mu }}_0\mathrm{I}}{8} \left(\frac{{\mathrm{R}}_1{\mathrm{R}}_2}{{\mathrm{R}}_{1 }+ {\mathrm{R}}_2}\right)$