62. How many of the following electron configurations for the species in their ground state are correct?

Ca: 1s² 2s² 2p⁶ 3s² 3p⁶ 4s¹     Br: 1s² 2s² 2p⁶ 3s² 3p⁶ 4s² 3d¹⁰ 4p⁴     V: [Ar] 3s² 3d³

As: [Ar] 4s² 3d¹⁰ 4p²  P: 1s² 2s² 2p⁶ 3p⁵
(A) 1
(B) 2
(C) 3
(D) 4
(E) None of the above

58. Consider hydrogen-like atoms (atomic number = Z) that are at excited state with some principal quantum number n. It is found that the emission spectrum has 6 different lines. Furthermore, the most energetic photon in the emission spectrum has an energy of 51 eV. Find the atomic number Z. [Hydrogen atom En = -13.6/n2 (eV)] (A) 5 (B) 4 (C) 3 (D) 2 (E) 1

59. According to the Beer-Lambert Law, how many half-value layers are required to reduce the intensity of X-rays to 1/80 of their original intensity? [log10 2 = 0.301] (A) 4 (B) 5 (C) 6 (D) 7 (E) 8

60. Positron Emission Tomography is a highly advanced imaging technology in modern medicine. PET is primarily used to observe cellular metabolism; this is especially useful for cancer. After the isotope in the radiopharmaceutical enters the body, it migrates to the lesion site and emits a positron. As the positron moves through the tissue, it strikes an electron within the body. When the two collide, annihilation occurs, converting matter into energy and emitting two gamma rays of equal energy. The detectors then use these two rays to calculate the precise location of the lesion. Assume that both the electron and the positron carry a kinetic energy K=0.23m0c2, where m0 is the rest mass of an electron and c is the speed of light. What is the wavelength of the gamma rays produced after a head-on collision? [Compton wavelength is λ0=h/(m0c), where h is Planck's constant] (A) λ = 2.83 λ0 (B) λ = 1.62 λ0 (C) λ = 0.81 λ0 (D) λ = 0.40 λ0 (E) λ = 0.25 λ0

61. If (S)-1-bromo-2-methylbutane undergoes radical bromination at the chiral center, is the obtained major product (or mixture of products) optically active? (A) Yes, (S) (B) Yes, (R) (C) No, racemic (D) No, due to symmetry (E) Depends on temperature

63. Which of the following techniques is best for determining the molecular weight? (A) IR (B) UV-Vis (C) Mass Spectrometry (D) NMR (E) CD

64. In the ground state, the diatomic molecule O2 is paramagnetic due to the unpaired electrons in its molecular orbitals. How many unpaired electrons does O2 have in its ground state? (A) 1 (B) 2 (C) 3 (D) 4 (E) None of the above

65. What is the product of the Beckmann Rearrangement? (A) Amine (B) Amide (C) Ketone (D) Carboxylic acid (E) Nitrile

66. Calcium fluoride (CaF2), known as fluorite, is used in dental products (e.g., fluoride treatments and varnishes) to promote enamel remineralization and prevent caries. In its crystal structure (fluorite type), the coordination number for the Ca2+ cations is 8. The coordination number for the F- anions in this crystal is ______. (A) 2 (B) 4 (C) 6 (D) 8 (E) 10

67. What is the rearrangement product of 3,3-dimethyl-1-butene reacting with HCl? (A) 3-chloro-2,2-dimethylbutane (B) 1,2-dichloro-3,3-dimethylbutane (C) 1-chloro-3,3-dimethylbutane (D) 2-chloro-3,3-dimethylbutane (E) 2-chloro-2,3-dimethylbutane

68. Which of the following exhibits the correct (increasing) orders for atomic radius and ionization energy, respectively? (A) Atomic radius: F, S, O; ionization energy: O, S, F (B) Atomic radius: F, O, S; ionization energy: S, O, F (C) Atomic radius: S, O, F; ionization energy: F, O, S (D) Atomic radius: S, F, O; ionization energy: S, F, O (E) None of the above

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