Physics Question 50 – JEE-MAIN 2026

A circular loop of radius $20$ cm and resistance $2\mathrm{\Omega }$ is placed in a time varying magnetic field $\overrightarrow{B}=(2t^2+2t+3)$ T. At $t=0$, for the plane of the loop being perpendicular to the magnetic field and, the induced current in the loop at $t=3$ s is $\frac{\alpha }{50}$ A. The value of $\alpha$ is _______. (Take $\pi =22/7$)