A metal loop of area $10\,\text{cm}^2$ is placed in a region such that its area vector points along $\hat{k}$. The region contains a uniform magnetic field of magnitude $1.73\,\text{T}$ that points in the direction $\hat{i} + \hat{j} + \hat{k}$. When the magnetic field is switched off, the field decreases to zero at a steady rate in $10\,\text{s}$. The magnitude of induced emf in the loop is