STATEMENT 1 : The sensitivity of a moving coil galvanometer is increased by placing a suitable magnetic material as a core inside the coil.
and
STATEMENT 2 : Soft iron has a high magnetic permeability and cannot be easily magnetized or demagnetized.
A magnetic field $$\overrightarrow{\mathrm{B}}=\mathrm{B}_{0} \hat{j}$$ exists in the region $$a < x < 2 a$$ and $$\overrightarrow{\mathrm{B}}=-\mathrm{B}_{0} \hat{j}$$, in the region $$2 a < x < 3 a$$, where $$\mathrm{B}_{0}$$ is a positive constant. A positive point charge moving with a velocity $$\vec{v}=v_{0} \hat{i}$$, where $$v_{0}$$ is a positive constant, enters the magnetic field at $$x=a$$. The trajectory of the charge in this region can be like,

Two wires each carrying a steady current I are shown in four configurations in Column I. Some of the resulting effects are described in Column II. Match the statements in Column I with the statements in Column II and indicate your answer by darkening appropriate bubbles in the $$4 \times 4$$ matrix given in the ORS.
| Column I | Column II | ||
|---|---|---|---|
| (A) | Point P is situated midway between the wires.![]() |
(P) | The magnetic fields (B) at P due to the currents in the wire are in same direction. |
| (B) | Point P is situated at the mid-point of the line joining the centers of the circular wires, which have same radii.![]() |
(Q) | The magnetic fields (B) at P due to the currents in the wires are in opposite directions. |
| (C) | Point P is situated at the mid-point of the line joining the centers of the circular wires, which have same radii.![]() |
(R) | There is no magnetic field at P. |
| (D) | Point P is situated at the common center of the wires.![]() |
(S) | The wires repel each other. |
$$ \text { Match the following Columns. } $$
| Column I | Column II | ||
|---|---|---|---|
| (A) | Dielectric ring uniformly charged. | (P) | Time independent electrostatic field out of system. |
| (B) | Dielectric ring uniformly charged rotating with angular velocity $\omega$. | (Q) | Magnetic field. |
| (C) | Constant current in ring io | (R) | Induced electric field. |
| (D) | $$ i=i_o \cos \omega \mathrm{t} $$ |
(S) | Magnetic moment. |
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