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 $x \times 10 ^ { - 4 } \mathrm {~V}$. The value of $x$ is\\
( Take, $\pi = \frac { 22 } { 7 }$)