24. Assume a (hypothetical) planet where the temperature is so high, so the ground state of an electron in the hydrogen atom is n = 4. What is the ratio of the hydrogen IE on this planet to that on earth?
(A) 1:16
(B) 1:4
(C) 4:1
(D) 16:1
(E) 1:1

21. On a planet where the temperature is so high, the ground state of an electron in the hydrogen atom is n = 3. What is the ratio of ionization energy on this planet to that on earth? (A) 1:3; (B) 3 : 1 ; (C) 1 : 9 ; (D) 9 : 1; (E) 1 : 1

25. In analytical spectroscopy, different regions of the electromagnetic spectrum interact with matter by inducing specific quantum transitions. Which of the following pairs correctly matches the spectral region with its corresponding quantum transition and reflects the correct energy relationship? (A) X-ray: transitions of valence electrons; higher energy than UV radiation. (B) Ultraviolet-Visible (UV-Vis): transitions of inner-shell electrons; lower energy than Infrared radiation. (C) Infrared (IR): changes in the configuration of nuclear spins; used for functional group identification. (D) Microwave: transitions between rotational energy levels of molecules; longer wavelength than Infrared radiation. (E) Radio wave: vibrational transitions within a molecule; used in Nuclear Magnetic Resonance (NMR) spectroscopy.

26. For an atom with one valence electron in a p-subshell (l = 1, s = 1/2), which statement about spin-orbit coupling is correct? (A) Spin-orbit coupling splits the p-level into j = and j = states. (B) The only allowed total angular momentum is j = 1/2 because s = 1/2. (C) Spin-orbit coupling does not occur unless the atom is placed in an external magnetic field. (D) The degeneracy of the j = level is 4 and the degeneracy of the j = level is 2. (E) Spin-orbit coupling combines n and l into a new quantum number j while leaving s unchanged.

27. How many electrons can be described by the quantum numbers n = 3, l = 1, ml = -1? (A) 14 (B) 6 (C) 10 (D) 0 (E) 2

28. C2H5OH(l) + 3O2(g) → 2CO2(g) + 3H2O(l), ΔH = -1.37 × 103 kJ Which of the following statement(s) is(are) true for the combustion of ethyl alcohol as described in the above equation? I. The reaction is exothermic. II. The enthalpy change would be different if gaseous water were produced. III. The reaction is not a redox reaction. IV. The products of the reaction occupy a larger volume than the reactants. (A) I, II (B) I, III, IV (C) I only (D) III, IV (E) I, II, III

29. From the following list of observations, choose the one that most clearly supports the conclusion that the mass of the atom is mainly located in the nucleus. (A) the emission spectrum of hydrogen (B) the photoelectric effect (C) diffraction (D) the scattering pattern of α particles by metal foil (E) cathode "rays"

30. In UV-Vis spectroscopy, the absorption characteristics of a molecule can be altered by the presence of certain functional groups. Which of the following statements correctly describes the roles of chromophores and auxochromes? (A) A chromophore is a saturated functional group that does not absorb radiation but increases the absorption intensity of the entire molecule. (B) An auxochrome is a functional group, such as -OH or -NH2, which does not itself absorb significantly in the UV region but can cause a bathochromic shift and a hyperchromic effect when attached to a chromophore. (C) The addition of an auxochrome to a conjugated system typically leads to a hypsochromic shift (blue shift) because it increases the energy gap between the π and π* orbitals. (D) Chromophores are only capable of undergoing n→σ* transitions, while auxochromes are responsible for π→π* transitions. (E) The intensity of absorption is determined solely by the chromophore, and auxochromes only affect the wavelength of the maximum absorption.

31. The motion of a car can be described by the equation x(t)=15t-2t2, where x and t are in meters and seconds, respectively. What is the acceleration of the car after 3 seconds? (A) 27 m/s2 (B) 12 m/s2 (C) 4 m/s2 (D) -4 m/s2 (E) -12 m/s2

32. A solid cylinder and a thin hoop of the same mass m and radius R are released from rest (at the same moment) at the top of an incline. If they roll without slipping, which object will have a greater translational velocity at the bottom of the incline? (A) The solid cylinder. (B) The thin hoop. (C) They will have the same velocity. (D) The velocity depends on the angle of the incline. (E) None of the above.

33. Two blocks of equal mass m are connected by a spring with the spring constant k and placed on a frictionless surface. If the right block is given an initial velocity v while the left block is at rest, what is the minimum kinetic energy of the system during the subsequent oscillation? (A) 0 (B) (1/8)mv2 (C) (1/4)mv2 (D) (1/2)mv2 (E) mv2

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