A conducting square loop initially lies in the XZ plane with its lower edge hinged along the X -axis. Only in the region $y \geq 0$, there is a time dependent magnetic field pointing along the $Z$-direction, $\vec{B}(t)=B_0(\cos \omega t) \hat{k}$, where $\mathrm{B}_0$ is a constant. The magnetic field is zero everywhere else. At time $\mathrm{t}=0$, the loop starts rotating with constant angular speed $\omega$ about the X axis in the clockwise direction as viewed from the +X axis (as shown in the figure). Ignoring self-inductance of the loop and gravity, which of the following plots correctly represents the induced emf. ( V ) in the loop as a function of time: