The correct option is D 23Ml2
Moment of inertia of the square plate about an axis passing through its center of mass and perpendicular to its plane is :
Icom=Ml26
According to the parallel axis theorem, moment of inertia of the plate about the axis passing from the corner and perpendicular to its plane is :
I=Icom+Mx2
Here, the distance between this axis from com is equal to half the length of the diagonal of the square.
i.e.x=l√22=l√2
⇒I=Ml26+Ml22
Or, I=2Ml23