JEE Previous Year Question

A conducting circular loop is rotated about its diameter at a constant angular speed of $100\text{rad}/s$ in a magnetic field of 0.5 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 mV. The radius of the loop is $\text{\_}\text{\_}\text{\_}\text{\_}$ $\text{mm}.\left(\text{Take}\right)$ $(\pi =\frac{22}{7})$

Topic: JEE PYQ

Answer: 14. Full step-by-step solution below.