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PhysicsJEE Main 22 Jan 2026, Shift 2·Q21·Numerical·Easy–moderate

Electromagnetic Induction · Inductance

A conducting circular loop is rotated about its diameter at a constant angular speed of 100 rad/s in a vertical magnetic field of 0.5 T perpendicular to the axis of rotation. When the loop is rotated by 30∘30^\circ from the horizontal position, the induced EMF is 15.4 mV. The radius of the loop is mm. (Take π=227)\left(\text{Take } \pi = \dfrac{22}{7}\right)
We corrected a printing error in the original paper

Assumption “vertical” (magnetic field) added; the source leaves the field direction relative to the horizontal position unstated, and the key 14 needs e=BAωsin⁡30∘e = BA\omega\sin30^\circ.

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