46. The wavefunction of one of the 3d orbitals for the hydrogen atom is sin²θsin2φ where Rnl(r) is the radial function and Ylᵐl(θ,φ) is the angular function. How many radial nodes and angular nodes are there in this orbital? (A) 0 and 1 (B) 0 and 2 (C) 1 and 1 (D) 1 and 2 (E) 2 and 2

4. Both ZnS and CaF₂ have a face-centered cubic unit cell where the S²⁻ and Ca²⁺ ions are closest packed in each structure. Which of the following is true? (A) There are 4 tetrahedral holes empty in each structure. (B) In both compounds, one-half of the tetrahedral holes are filled. (C) In both compounds, all the tetrahedral holes are filled. (D) There are 8 Zn²⁺ ions and 4 F⁻ ions in the unit cell. (E) In ZnS, one-half of the tetrahedral holes are filled by Zn²⁺ ions, whereas in CaF₂ all the tetrahedral holes are filled with F⁻ ions.

46. The wavefunction of one of the 3d orbitals for the hydrogen atom is sin²θsin2φ where R_nl(r) is the radial function and Y_lᵐl(θ,φ) is the angular function. How many radial nodes and angular nodes are there in this orbital?
(A) 0 and 1
(B) 0 and 2
(C) 1 and 1
(D) 1 and 2
(E) 2 and 2

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