A conducting circular loop is placed in X - Y plane in presence of magnetic field B =(3 t^3 j +3 t^2 k ) in SI unit. If the radius of the loop is 1…

A conducting circular loop is placed in $\displaystyle X$ - $\displaystyle Y$ plane in presence of magnetic field $\displaystyle \overrightarrow{\mathrm{B}}=\left(3 \mathrm{t}^3 \hat{j}+3 \mathrm{t}^2 \hat{k}\right)$ in SI unit. If the radius of the loop is $\displaystyle 1$ m, the induced emf in the loop, at time, $\displaystyle t=2 s$ is $\displaystyle n \pi V$. The value of $\displaystyle n$ is \_\_\_\_.