(I) Plane of symmetry present so optically inactive.
(II) It is a allene, due to chiral axis and presence of even number of double bond it is optically active molecule.
(III) It has assymetric carbons, it is optically active.
(IV) It is a spiro compound containing plane of symmentry, so optically inactive.
(V) Due to presence of centre of symmetry, it is optically inactive.
(VI) I is a iphenyl system, to minimise steric repusion both ring align in mutually perpendicular plane and will be optically active.
(VII) Molecule does not have assymetric carbon, it is optically inactive.
(VIII) It is a six-membered rings containing heteroatoms. This dioxane are optically active, can exist two conformers.
(IX) The compound is optically inactive, because it shows nitrogen inversion. This is due to generally, lower amines nitrogen will not behave like a normal unsymmetrical carbon.