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