The correct option is C Compounds lack centre and plane of symmetry shows optical activity
Compound which rotates the plane polarised light are called optically active compounds.
Condition for optical activity:
For a compound to be optically active it should lack elements of symmetry i.e plane of symmetry and axis of symmetry
Plane of symmetry: When an identical copy of atoms in one side of the plane is generated with its corresponding side as a mirror image, the molecule is said to have plane of symmetry.
Centre of symmetry: Centre of Symmetry is any point in space such that any group on the molecule can be reflected back through that point at an equal distance but in the opposite direction as an equivalent/identical group is found.
Thus, compound lacking these element of symmetry shows optical activity.