I. σ* -orbital are formed by the subtraction of two wave functions say ΨA and ΨB Therefore, σ*=ψA−ψB
II. σ* -orbital are formed when two orbital's are in same phase and thus, do not have nodal plane in between two nuclei.
III. Combination of two sigma atomic orbital's given two molecular orbital's, out of which one is of lower energy called a bonding orbital and other is of higher energy called c? anti-bonding orbital.
Hence, (I) and (III) are the correct statements and option (4) is the correct answer.