Physics Question from JEE Main 2026 · 22 January, Shift 2

A conducting circular loop is rotated about its diameter at a constant angular speed of $100 \, \text{rad s}^{-1}$ in a magnetic field of $0.5 \, \text{T}$, perpendicular to the axis of rotation. When the loop is rotated by $30^\circ$ from the horizontal position, the induced EMF is $15.4 \, \text{mV}$. The radius of the loop is _____ mm.

(Take $\pi = \dfrac{22}{7}$)