JEE Advanced 2025 Paper 1 Physics Q3

Physics · Electromagnetic Induction

Problem

A conducting square loop initially lies in the XZ plane with its lower edge hinged along the X-axis. Only in the region y ≥ 0, there is a time dependent magnetic field pointing along the Z-direction, B⃗\vec{B}(t) = B₀(cos ωt)k^\hat{k}, where B₀ is a constant. The magnetic field is zero everywhere else. At time t = 0, the loop starts rotating with constant angular speed ω about the X axis in the clockwise direction as viewed from the +X axis (as shown in the figure). Ignoring self-inductance of the loop and gravity, which of the following plots correctly represents the induced e.m.f. (V) in the loop as a function of time:

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