A square loop of side 2.0 cm is placed inside a long solenoid that has 50 turns per centimetre and carries a sinusoidally varying current of…

A square loop of side $\displaystyle 2.0$ cm is placed inside a long solenoid that has $\displaystyle 50$ turns per centimetre and carries a sinusoidally varying current of amplitude $\displaystyle 2.5$ A and angular frequency $\displaystyle 700 \mathrm{rad} \mathrm{s}^{-1}$. The central axes of the loop and solenoid coincide. The amplitude of the emf induced in the loop is $\displaystyle x \times 10^{-4} \mathrm{~V}$. The value of $\displaystyle x$ is $\displaystyle \_\_\_\_$. (Take, $\displaystyle \pi=\frac{22}{7}$ )