A uniform plane square sheet of mass m is centered at the origin of an inertial frame. The sheet is rotating about an axis passing through the origin. At an instant when all its vertices lie on x and y axes, the angular momentum is \(\vec{L}=I_0 \omega_0(2 \hat{\imath}+\hat{\jmath}+2 \hat{k})\), where I0 is the moment of inertia about the x axis. At this instant, the angular velocity of the sheet is
1
\((2 \hat{\imath}+\hat{\jmath}+2 \hat{k}) \omega_0\)
2
\((2 \hat{\imath}+\hat{\jmath}+\hat{k}) \omega_0\)
3
\((2 \hat{\imath}+\hat{\jmath}) \omega_0\)
4
\((\hat{\imath}+\hat{\jmath}) \omega_0\)