Physics Question from JEE Main 2024 · 29 January, Shift 1

A square loop of side $10 \, \text{cm}$ and resistance $0.7 \, \Omega$ is placed vertically in the east-west plane. A uniform magnetic field of $0.20 \, \text{T}$ is set up across the plane in the northeast direction. The magnetic field is decreased to zero in $1 \, \text{s}$ at a steady rate. Then, the magnitude of induced emf is $\sqrt{x} \times 10^{-3} \, \text{V}$. The value of $x$ is .