Consider the following statements regarding d-orbitals: (I) The d_ z^2 orbital has two nodal cones instead of nodal planes. (II) The d_ xy and d_ x^2-y^2 orbitals have similar shapes but different spatial orientations. (III) The 4d orbitals are larger in size than the 3d orbitals but possess similar shapes. (IV) In a free multi-electron atom, the five 3d orbitals are degenerate. (V) The d_ x^2-y^2 orbital has its max

Step-by-step solution

Statement (I) is correct as the d_ z^2 orbital has two nodal cones and zero nodal planes. Statement (II) is correct because both d_ xy and d_ x^2-y^2 have a similar four-lobed shape, but d_ xy lobes lie between the axes while d_ x^2-y^2 lobes lie along the axes. Statement (III) is correct as the size of an orbital increases with the principal quantum number n. Statement (IV) is correct because in an isolated (free) atom, all five d-orbitals of the same shell have equal energy (degenerate). Statement (V) is incorrec