110年 - 110 學士後醫學系招生考試:物理及化學#100231

2. Since 2019, the magnitudes of all SI units have been defined by declaring exact numerical values for defining constants when expressed in terms of their SI units. Which one of the following constants is not included? (A) the speed of light in vacuum, c (B) the Planck constant, h (C) the Coulomb constant, ke (or 1/4πε₀ ) (D) the Boltzmann constant, k (or kB) (E) the Avogadro constant, NA

3. The graph below shows the angular acceleration α of a bicycle tire. During the four-second time interval for which this graph is drawn, we can conclude that ______.
  (A) the angular velocity of the wheel did not change (B) the angular momentum of the wheel about an axis through its center did not change (C) the angular velocity of the wheel increased by 8 rad/s (D) the angular velocity of the wheel increased by 12 rad/s (E) the angular velocity of the wheel increased by 16 rad/s

4. A ball rolls down and leaves a slope at an angle of 30°above the horizontal direction. The ball hits the ground 10 seconds later at a point 20 meters below the leaving point, as shown below. How far does the ball travel horizontally when it hits the ground (from point B to point C)? (Gravitational acceleration g = 10 m/s² )
(A) 623 (B) 835 (C) 936 (D) 1019 (E) 2021

5. Newton’s coefficient of restitution is defined by
For a completely inelastic collision in a head-on collision of two objects, what would the value of e would be? (A) 0 (B) 1/2 (C) 1 (D) 2 (E) Information not enough to determine it.

6. The ballistic pendulum has mass 10 kg. A bullet of 300 g moves at the speed of v0 right before hitting the pendulum. How much is the height h that the pendulum can swing upward and rest momentarily? (Gravitational acceleration g = 10 m/s² )
(A) 6.7× v0 ² (B) 4.2× v0 ² (C) 3.3× v0 ² (D) 2.3×v0 ² (E) 5.7×v0 ²

7. Compared to the graph below, which graph in choices shows that the amplitude and the frequency are doubled?
(A) a (B) b (C) c (D) d (E) e

8. A tube with three openings has three different cross-sectional areas (A1:A2:A3 = 2:1:3), as shown in the figure. The pressure difference is 25 Pa between A1 and A2. If v1 = 0.125 (m/s), find the density of the fluid (kg/m³ ).
(A) 561 (B) 982 (C) 1067 (D) 1534 (E) 1698

9. Which of the following answers is a correct description of the corresponding process as indicated in the figure?
(A) Isobaric (B) Adiabatic (C) Isovolumetric (D) Isothermal (E) None of the above is correct.

12. Four capacitors are connected as shown in the figure. How much is the total charges stored in capacitors if  
(A) 30 μC (B) 45 μC (C) 60 μC (D) 75 μC (E) 90 μC

13. Which of the following is correct for visible light through a prism?
(A) a and d (B) c and b (C) c and d (D) a and b (E) None of these

15. An energy of 13.6 eV is needed to ionize an electron from the ground state of a hydrogen atom. What is the longest photon wavelength needed to accomplishes this task? (Plank constant =) (A) 60 nm (B) 70 nm (C) 80 nm (D) 90 nm (E) 100 nm

16. For the process , what would be the ratio of cis to trans isomers in the product? (A) 1:1 (B) 4:1 (C) 2:1 (D) 1:4 (E) 1:2

17. Which of the solvents shown below could best dissolve KBr? (A)(hexane) (B) C_H3CH₂OH (ethanol) (C) C₆H₆ (benzene) (D) CCl₄ (carbon tetrachloride) (E) (cyclohexane)

18. Which of the following options best describes the relationship between the following two compounds?
(A) Constitutional isomers (B) Stereoisomers (C) Identical (D) Not isomers, different compounds entirely. (E) Conformers

20. Which of the following structures contains the central atom which has a formal charge of +2?
(A) a (B) b (C) c (D) d (E) e

22. What are the hybridization state and geometry of the nitrogen atom in the following chemical structure?
  (A) sp hybridized and linear geometry (B) sp² hybridized and trigonal pyramidal (C) sp³ hybridized and trigonal pyramidal (D) sp³ hybridized and trigonal planar (E) sp³ hybridized and bent

23. How many asymmetric carbons are presented in the compound below?
(A) 2 (B) 3 (C) 4 (D) 5 (E) 6

26. Consider the following processes:Calculate ΔH for: C → E + 3D (A) 0 kJ/mol (B) 10 kJ/mol (C) -10 kJ/mol (D) -20 kJ/mol (E) 20 kJ/mol

28. For the reaction 3A(g) + 2B(g) → 2C(g) + 2D(g), the following data was collected at constant temperature. Determine the correct rate law for this reaction.
  (A) Rate = k[A][B] (B) Rate = k[A][B]² (C) Rate = k[A]³ [B]² (D)(E) Rate = k[A]² [B]

30. Identify the element of Period 2 which has the following successive ionization energies, in kJ/mol.
   (A) Li (B) B (C) O (D) Ne (E) None of these

32. A part of the square that has sides of length L is removed from one corner. The center of mass of the remainder moves from C to C'. The displacement of the x coordinate of the center of mass (from C to C') is ______.
(A) (2/3)L (B) (1/6)L (C) (1/8)L (D) (1/10)L (E) (1/12)L

33. The string and the pulley are massless, and the coefficient of static and kinetic frictions are 0.2 and 0.1, respectively, for both table 1 (T1) and 2 (T2). If m1 = 2 kg, m2 = 3 kg, and m = 1.5 kg, find the acceleration of m. (Gravitational acceleration g = 10 m/s² )
  (AB) 7.7 m² /s (AC) 8.7 m² /s (AD) 9.7 m² /s (AE) 10.7 m² /s (BC) 11.7 m² /s (BD)一律送分

35. A toy car is running on a banked circular track of radius 10 m, as shown below. If the car weighs 5 kg and on wet ice, find the maximum velocity for the car to keep on the track without skid. (Gravitational acceleration g = 10 m/s² , cos30° = 0.87, cos60° = 0.5)
  (A) 5.4 m/s (B) 7.6 m/s (C) 9.4 m/s (D) 12.6 m/s (E) 15.7 m/s

36. A small block of mass m rests on the sloping side of a triangular block of mass M which itself rests on a horizontal table as shown in the figure below. Assuming all surfaces are frictionless, determine the magnitude of the force F that must be applied to M so that m remains in a fixed position relative to M. Hint: 1. Take x and y axes horizontal and vertical. 2. Focus at the object m.
(A) mg sinθ (B) mg tanθ (C) (m+M)g tanθ(D) (m+M)g sinθ(E) None of these

38. A 2-kg block slides down a frictionless incline from point A to point B. A force (magnitude P = 3 N) acts on the block between A and B, as shown in the figure Points A and B are 2 m apart. If the kinetic energy of the block at A is 10 J, what is the kinetic energy of the block at B? (Gravitational acceleration g = 10 m/s² )
(A) 17 J (B) 20 J (C) 24 J (D) 27 J (E) 37 J

42. How much is the internal energy change of a gas that expands from i to f as indicated in the figure if there is also a frictional heat loss of 10 J?
(A) -34.5 J (B) 22.5 J (C) -18.5 J (D) -28.5 J (E) 36.5 J

46. A hydraulic jack with two pistons is shown in the figure. The radii are 10 cm and 5 cm, and the weights are 40 kg and 1 kg for the left and right piston, respectively. A ball weighs 9 kg is placed on the right piston. Find the height difference between two pistons in equilibrium status. (Gravitational acceleration g = 10 m/s² )
(A) 0 cm (B) 10 cm (C) 1 m (D) 10 m (E) 20 m

48. A mass-spring system is shown in the figure where the spring constant k = 100 N/m and the mass is 4 kg. Assuming the initial velocity is 3.5 m/s, what is the amplitude of the motion?
(A) 0.5 m (B) 0.7 m (C) 0.8 m (D) 0.9 m (E) 1.2 m

49. A block (m1) with a weight of 10 kg was placed on a wooden bar with a weight of 2 kg. The left end of the bar was attached firmly to a triangle. How much force (F) does it take to keep the system in horizontal equilibrium? (Gravitational acceleration g = 10 m/s² )
  (A) 165 N (B) 224 N (C) 283 N (D) 318 N (E) 361 N

51. A rod of 0.3 m carries a current of I = 48.0 A in the direction shown in the figure and rolls along the rails with a constant speed. A uniform magnetic field of magnitude 0.25 T is directed perpendicular to the rod and the rails. What is the force acting on the rod?
(A) 3.6 N (→) (B) 2.4 N (←) (C) 1.2 N (←) (D) 3.6 N (←) (E) 1.2 N (→)

52. Three point charges align along the x-axis as shown in the figure. What is the equilibrium position x of the charge q₂. (The electrical constant is ke).
(A) 0.45 m (B) 0.62 m (C) 0.36 m (D) 0.78 m (E) 0.59 m

53. Two parallel thin planes of charge electrical charge density 2.5✖10⁸ C/m² . What is the electric field in the region between the two planes? Assume that the vacuum electric permittivity is (A) (B) (C) (D) (E)

54. The voltage across a parallel-plate capacitor is measured to be 92.5 V. When a dielectric is inserted between the plates, the voltage drops to 23.4 V. What is the dielectric constant of the inserted material? Assume that the vacuum electric permittivity is (A) 0.26 (B) 2.64 (C) 0.62 (D) 3.95 (E) 1.82

56. It is known that the magnetic field of 0.17 T can cause an ion to move in a circular orbit of radius 2 m. Find the radius of circular orbit of a ion with identical velocity in the same magnetic field. (Ion moves in direction perpendicular to the magnetic field.) (A) 0.12 m (B) 0.25 m (C) 0.34 m (D) 0.52 m (E) 0.72 m

57. What is the electric flux through a surface in between two parallel planes shown in the figure if w = 2 cm, l = 5 cm, E = 500 N/C and θ = 30°?
(A) 0.52 N⋅m² /C (B) 0.26 N⋅m² /C (C) 0.81 N⋅m² /C (D) 0.43 N⋅m² /C (E) 0.36 N⋅m² /C

58. A solenoid with 200 turns of copper wires is operated by a 1000 V power supply and must be 25 cm long. What is the magnitude of magnetic field that is created in the solenoid? (The resistance of Cu wire is 0.2 Ω and the permeability T⋅m/A)
(A) 5.03 T (B) 3.21 T (C) 7.84 T (D) 4.58 T (E) 4.36 T

64. Which of the following values is based on the Third Law of Thermodynamics? (A) ΔH°_f = 0 for Al(s) at 298 K (B) ΔG°_f = 0 for H2(g) at 298 K (C) (D) qsys ＜ 0 for H2O(l) → H2O(s) at 0°C (E) None of these

65. What are the values of bond order belonging to , respectively? (A) 1.5, 2.5 (B) 2.5, 1.5 (C) 2, 3 (D) 3, 2 (E) 2, 2

67. According to molecular orbital, which of the following molecules is diamagnetic? (A) HF (B) O₂ (C) NO (D) (E)

68. Consider the figure, which shows ΔG° for a chemical process plotted against absolute temperature. Which of the following is an incorrect conclusion, based on the information in the diagram?
(A) ΔH° ＞ 0 (B) ΔS° ＞ 0 (C) The reaction is spontaneous at high temperatures. (D) ΔS° increases with temperature while ΔH° remains constant. (E) There exists a certain temperature at which ΔH° = TΔS°.

69. Acetone can be easily converted to isopropyl alcohol by addition of hydrogen to the carbonoxygen double bond. Calculate the enthalpy of reaction using the bond energies given.  (A) -484 kJ (B) -366 kJ (C) -48 kJ (D) +48 kJ (E) +366 kJ

70. How many of the following molecules exhibit resonance: , O₂F₂? (A) 1 (B) 2 (C) 3 (D) 4 (E) 5

72. Consider an adiabatic and reversible expansion process from state I to state II. Which of the following statements is true? (A) P₁V₁ = P₂V₂ (B)(C) The final temperature will be higher than the initial temperature. (D) The final volume of the gas is much greater than the expansion were carried out isothermally. (E) The work delivered to the surrounding is much smaller than the expansion were carried out isothermally.

73. When a 1.00 mL of the M solution of organic acid is diluted with 9.00 mL of ether, forming solution A and then 2.00 mL of the solution A is diluted with 8.00 mL of ether, forming solution B. What is the concentration of solution B? (A) (B)(C) (D) (E)

75. What is the appropriate representation of the repeating unit of the following polymer? (A) I (B) II (C) III (D) IV (E) V

76. Which of the following structures is the major form of the lysine at the pH = 14?
(A) I (B) II (C) III (D) IV (E) V

78. Which of the following complexes will absorb visible radiation of the shortest wavelength? (A) (B)(C)(D)(E)

79. Please choose the most stable cation?
(A) I (B) II (C) III (D) IV (E) V

81. Which of the following statements concerning a face-centered cubic unit cell and the corresponding lattice, made up of identical atoms, is incorrect? (A) The coordination number of the atoms in the lattice is 8. (B) The packing in this lattice is more efficient than for a body-centered cubic system. (C) If the atoms have radius r, then the length of the cube edge is (D) There are four atoms per unit cell in this type of packing. (E) The packing efficiency in this lattice and hexagonal close packing are the same.

83. Pentane, , boils at 35°C. Which of the followings is true about kinetic energy, E_k, and potential energy, E_p, when liquid pentane at 35°C is compared with pentane vapor at 35°C? (A) E_k(g) ＜ E_k(l)； E_p(g) ≈ E_p(l) (B) E_k(g) ＞ E_k(l)； E_p(g) ≈ E_p(l) (C) E_p(g) ＜ E_p(l)； E_k(g) ≈ E_k(l) (D) E_p(g) ＞ E_p(l)； E_k(g) ≈ E_k(l) (E) E_p(g) ≈ E_p(l)； E_k(g) ≈ E_k(l)

85. Hydroxylamine nitrate contains 29.17 mass % N, 4.20 mass % H, and 66.63 mass % O. Determine its empirical formula. (A) HNO (B) H₂NO₂ (C) (D)(E) H₂NO₃

86. Given the following two standard reduction potentials,determine for the standard reduction potential of the half-reaction
(A) 0.40 V (B) 0.77 V (C) -0.40 V (D) -0.11 V (E) 0.11 V

87. The rate law for a reaction is found to be Rate = k[A]² [B]. Which of the following mechanisms gives this rate law?
(A) I (B) II (C) III (D) I & II (E) II & III

88. When the redox reaction in basic solution: is balanced using the smallest whole-number coefficients, the coefficient of H₂O is x and the sum of all coefficients is y. What is the sum of x and y, (x + y)? (A) 9 (B) 10 (C) 11 (D) 12 (E) 13

89. Which of the followings is the best representation of the titration curve which will be obtained in the titration of a weak acid (0.10 mol ) with a strong base of the same concentration? (A) (B) (C) (D) (E)