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 amplitude 2.5 A and angular frequency $700 \mathrm{rad} \mathrm{s}^{-1}$. The central axes of the loop and solenoid coincide. The amplitude of the emf induced in the loop is $\mathrm{x} \times 10-4 \mathrm{~V}$. The value of $x$ is $\_\_\_\_$ . (Take, $\pi=\frac{22}{7}$ )