12. A pitcher throws a ball of mass m at an angle such that the ball can travel a maximum distance R. Find the initial kinetic energy K₀ of the ball. The gravitational acceleration is denoted as g. (Ignore the height of the pitcher)
(A) K₀=2mgR
(B) K₀=mgR
(C) K₀=(1/2) mgR
(D) K₀=(1/4) mgR
(E) K₀=(1/8) mgR

13. The human heart acts as a biological pump, generating pressure to circulate blood throughout the body. The human heart could pump about 80 cm3 of blood per contraction, and this quantity is called the stroke volume. Assume that mean arterial pressure is 120 mm-Hg and the heart beat rate is 70/min. Calculate the average power output of the heart in watt (W). [1 atm=760 mm-Hg= 1.013×105 Pa] (A) 2.7 W (B) 1.5 W (C) 3.2 W (D) 0.8 W (E) 4.2 W

14. Babies are naturally more sensitive to some pitched sounds differently than adults. This is due to the difference in the length of the ear canal. Calculate the fundamental resonant frequency f1 of the 1.27 cm long ear canal of a baby. Calculate the fundamental resonant frequency f2 of the 2.6 cm long ear canal of an adult. The answer is written in the form (f1, f2). The speed of sound in air is 344 m/s. (A) (7343 Hz, 4370 Hz) (B) (3543 Hz, 6880 Hz) (C) (6771 Hz, 3307 Hz) (D) (3443 Hz, 7698 Hz) (E) (9371 Hz, 5890 Hz)

15. A hearing aid increases the sound intensity level by 20 decibels (dB). By what factor does this increase the actual sound intensity? (A) 800 (B) 400 (C) 200 (D) 100 (E) 2

16. Which reagent can reduce 2-butanone to n-butane? (A) NaBH4 (B) LiAlH4 (C) PCC (D) Zn(Hg), HCl (E) KMnO4

17. The ground state term symbol for the neutral oxygen atom (O) is relevant to discussions of reactive oxygen species or atomic oxygen in biochemical contexts. What is the ground state term symbol for O? (A) 1S (B) 1P (C) 1D (D) 3P (E) 3D

18. Which statement about the Hartree-Fock (HF) method is correct? (A) The HF method gives the exact electronic energy because it includes full electron correlation. (B) The HF method approximates the many-electron wavefunction as a single Slater determinant, enforcing antisymmetry. (C) The HF method treats electron-electron repulsion only as a constant and ignores exchange effects. (D) In the HF method, the orbitals are fixed and never optimized; only the total energy is minimized. (E) The HF method is a semi-empirical method because it requires experimental parameters.

19. In a gravimetric determination of nickel using dimethylglyoxime (DMG), a student performed three replicate trials. In each trial, the student weighed the nickel-DMG precipitate before it had reached a constant mass (i.e., the precipitate was still slightly damp with residual solvent). Which of the following statements best describes this error? (A) It is a random error that can be minimized by increasing the number of replicate measurements. (B) It is a systematic error that results in a positive bias, leading to a consistently higher calculated nickel content. (C) It is an indeterminate error that primarily affects the precision of the data set rather than its accuracy. (D) It is a systematic error that results in a negative bias, leading to a consistently lower calculated nickel content. (E) It is a random error caused by the inherent fluctuations in the ambient humidity of the laboratory.

20. Consider the reaction: Using the steady-state approximation for the intermediate I, which expression for the rate of product formation is correct? (A) (B)(C)(D) (E)

21. In instrumental analysis, the internal standard method is often preferred over external calibration when sample loss or injection variability is expected. Which of the following statements regarding the properties and selection of an internal standard is correct? (A) The internal standard should be a substance that is already present in the original sample matrix to ensure compatibility. (B) The primary purpose of an internal standard is to compensate for matrix effects that suppress or enhance the analyte's signal. (C) An ideal internal standard should have a chemical structure and physical properties similar to the analyte, but its signal must be well-resolved from the analyte's signal. (D) Adding a higher concentration of the internal standard will directly increase the sensitivity (slope) of the calibration curve for the analyte. (E) If the instrument's sensitivity drops by 20% during a run, the internal standard method will fail because the response factor is no longer constant.

22. In clinical biochemistry and medical imaging, the color of metal-containing species used in diagnostics (e.g., contrast agents, blood analytes) often arises from d-d transitions or charge-transfer (CT) transitions. Which of the following species has a color that is not primarily due to charge-transfer? (A) Mn2+(aq) (B) KMnO4 (C) [Cu(NH3)4]2+ (D) Fe3O4 (E) KFeFe(CN)6

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