Physics Question from JEE Main 2023 · 10 April, Shift 2

A square loop of side $2.0 \, \text{cm}$ is placed inside a long solenoid that has $50$ turns per centimeter and carries a sinusoidally varying current of amplitude $2.5 \, \text{A}$ and angular frequency $700 \, \text{rad/s}^{-1}$. The central axes of the loop and solenoid coincide. The amplitude of the emf induced in the loop is $x \times 10^{-4}$ V. The value of $x$ is: