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 0 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.
(A)P→5, Q→4, R→1, S→3
(B)P→3, Q→2, R→5, S→4
(C)P→3, Q→2, R→1, S→4✓ Correct
(D)P→5, Q→1, R→2, S→3
Answer: (C)
Solution
For each loop, the induced current depends on the rate of change of magnetic flux as it rotates.
The graph characteristics depend on:
Starting time: tstart=2πθ0T (initial angle with field)
Constant period: tconstant=2πθT (angular extent of loop)
(P) Full semicircle: tstart=0, tconstant=2T → (3)
(Q) 60° sector starting at 0°: tstart=0, tconstant=6T → (2)
(R) 60° sector starting at 0°: tstart=0, tconstant=6T → (1)
(S) Symmetric loop: Total emf remains zero due to symmetry → (4)
Therefore: P→3, Q→2, R→1, S→4
JEE Advanced · 2026 · 17 May 2026 · Paper 1 · Single correct option
