List-I contains four conducting loops lying in the XY plane, as shown in the figures. The loops are rotating about Z axis passing through the point O with time period T in clockwise direction. The region x > 0 contains a uniform magnetic field B in the +z direction. List-II contains the qualitative variation of the induced current i(t) for each of these loops. Choose the option which describes the correct match between the entries in List-I to those in List-II. Image
List 1
.
List 2
Options

Question

List-I contains four conducting loops lying in the XY plane, as shown in the figures. The loops are rotating about Z axis passing through the point O with time period T in clockwise direction. The region x > 0 contains a uniform magnetic field B in the +z direction. List-II contains the qualitative variation of the induced current i(t) for each of these loops. Choose the option which describes the correct match between the entries in List-I to those in List-II. Image

List 1

.

List 2

Options

G1 Physics · Accepted Answer

The induced current is determined from the rate of change of magnetic flux through the portion of each loop inside the x > 0 field region. Matching the corresponding time dependences gives P→3, Q→2, R→1 and S→4. Hence option C.