113年 - 113 國立中山大學_學士後醫學系招生考試：物理及化學#119273

1. Newton's law of gravitational force is represented by F= GMm/r². What is the dimension of tiie gravitational constant G? (A) kg●m³●s^-2 (B) kg^-1●m●s^-2 (C) kg●m²●s^-2 (D) kg●m●s^-2 (E) kg^-1●m3●s^-2

14. See the right figure, there is a metallic sphere, on 的ich a constant electric potential is applied, A chained particle moves fh＞m point A to point B through three different kinds of paths denoted as I, II, and III. Through which path does the particle gain the most electric eneigy?
(A) I (B)II (C) III (D) All the same (E) It depends on the sign of the charge.

15. Refer to the figure. A conducting loop (square coil of wire) is pulled at constant velocity through a uniform magnetic field entering the plane. Which of the following statements is correct?(A) Current is induced in the loop in the clockwise direction. (B) Current is induced in the loop in the counterclockwise  direction. (C) Alternating current is induced in the loop.  (D) Charge separation occurs； negative chafes are accumulated at the bottom edge. (E) Charge separation occurs； negative charges are accumulated at the top edge.

22. The reaction A→B + C is known to be zero order in A with a rate constant of 4.8 x 10^-2 mol/L • s at25°C. An experiment was run at 25°C where [A]₀ = 4.0 M. What is the concentration of B after 5.0s? (A) 1.7 M (B)4.5 x 10^-1 M (C) 3.0 M (D)1.1✖10^-1M (E) 2.4 x 10^-1 M

31. Determine tiie correct unit and magnitude of the electric field at distance x from the midpoint of a very long line of unifonnly distributed positive charge. Assume x is much smaller then the length of the wire, and let λ be the charge par unit length.(A)(B)(C)(D)(E)

32. The plates of a parallel-plate capacitor have area』and separation d. Two different dielectrics each All half the space between the plates of a parallel-plate capacitor (as shown in figure). Determine ti)e correct unit and the capacitance in terms of K₁, K₂, tiie area A of the plates, and die separation d, where K₁and K₂ are the dielectric constants of two dielectrics . is the vacuum permittivity. (A)(B) (C) (D)(E)

34. Assume that a satellite of mass jl/oibits Earth in a perfect circle of radius R. If the satellite is replaced with another one with mass 2Mbut with the same circling radius, what is the ratio of the period of the first satellite to the period of the second one (i.e., T₁/T₂)? (A) 1/2 (B)l (C)l (D)(E)2

35. A 5.0-kg block moves with velocity v = 3.0i + 5.0j(m/s) on a horizontal surface of coefficient of kinetic friction μ = 0.30, where i and J are unit vectors that point along tiie x and、coordinate axes, respectively. When the block comes to rest, what is the total thermal ehei^y increased? (A)1.2x 10²J (B)63 J (C) 38 J (D)26J (E)85 J

37. A force-tune curve for a ball struck by a bat is shown in the figure. What is the impulse on the ball?(A) 12000 (N●s) (B) 6000 (N●s) (C) 3000 (N●s) (D)6(N●s) (E) 3 (N●s)

38. A force of 20 N acts on a wagon at an angle of 30° to the ground. Calculate the work done by the force Wien the wagon is dragged 100 m along the ground.
(A) 600 J (B) 800 J (C)100J (D) 1300 J (E) 1700 J

40. Neglect the friction and weights of pulleys and cord in the figure. The body of mass m₂ is falling down with acceleration a₂ = g/2. What is the mass ratio m₂/m₁?
(A)1 (B)3/2 (C)2 (D)5/2 (E)4

41. A block of mass m was placed on a surface (coefficient of kinetic friction μ) with an inclined angle θ. The block is initially moving uphill with speed v. What is the total distance dtiie block moves before the block goes downhill or stops?

  (A)(B)(C)(D) (E)

42. A uniform stick 1.0 m long with total mass 15 kg rests on a firictionless table and is pivoted at its end. The uniform stick rotates freely about this pivot. A bullet with a mass of 10 g and a speed of400 m/s strikes the center of the stick, in a direction perpendicular to tiie stick and embeds itself there. Find the stick' s angular speed.
(A) 0.1 rad/s (B) 0.4 rad/s (C) 0.6 rad/s (D) 02 rad/s (E) 0.8 rad/s 

43. One quarter of a circular loop of wire carries a current I. The current I enters and leaves on straight segments of wire. The straight wires are along tiie radial direction ftom the center of the circular portion, Find the magnetic field at the center of tiie circular. (A) (B) (C)(D)(E)

44. A capacitor C is fully charged by a de power supply so that one plate has charge Q₀. It is disconnected from the power supply and is connected to a inductor L, which results in an electrical oscillation. What is the angular frequency ω of the oscillation and its maximum current I₀? (A)(B)(C)(D)(E)

47. An electron travels at 2✖10⁷ m/s in a plane perpendicular to a uniform 0.01 T magnetic field. What is the radius of the travel path? (electron mass = 9.1✖10^-31 kg, charge on electron = 1.6✖10^-19 Coul) (A) 5.2 cm (B) 3.8 cm (C) 2.1 cm (D) 1.1 cm (E) 0.5 cm

50. For a car traveling with speed v around a curve of radius r, determine a formula fbr the angle θ, at which a road should be banked so that no friction is required. (A) (B)(C) (D) (E)0

51. Calcualte the moment of inertia of a hollow cylinder when the rotational axis is through the center. The inner radius is R₁ and outer radius is R₂?The total mass of the hollow cylinder is M. (A) (B) (C)(D)(E)

52. Consider a parallel-plate capacitor. Each plate has area A. One plate carries a uniform surface charge density σ and the other carries a uniform surface charge density -σ. Each plate of a parallel-plate capacitor exerts a force Fon the other. Calculate the force. (A)(B) (C)(D)(E)

53. An observer is moving with speed u toward a stationary source which emits sound waves of frequency f. What is the frequency f' heard by the observer? Assume the speed of sound to be v. (A)f'=f (B) (C)(D)(E)

54. To charges (+q) are located on the x axis as the figure shows. What is die resulting electric field at points on the y axis?
(A) (B)(C)(D)(E)0

55. An ice skater with rotational inertia I and angular speed ω pulls his arms in and increases his angular speed to 3ω. Calculate the change in kinetic ener^. (A) (B) (C)(D)Iω² (E)

56. A cylindrical container with a radius of 2R and a height of 2R contains liquid with a density of ρ, filling 17/18 of its volume. When a plastic ball of radius R is placed m 1he liquid, the liquid perfectly fills tiie container witiiout any liquid spilled out. What is the density of the plastic ball in terms of ρ? (A)ρ/4 (B)ρ/3 (C)ρ/2 (D)3ρ/4 (E)2ρ/3

58. Two samples of the same ideal gas have the same volume and density. Sample B has twice the presure of sample A. What is the root-mean-square speed of the molecules in sample B? 
(A) same as that in sample A
(B) twice that in sample A 
(C) half that in sample A
(D) times that in sample A 
(E) insufficient information to determine

59. Given a traveling sinusoidal wave, y(x, t) = A s(n(kx — ωt + φ). What are the wavelength and ftequency of the wave? (A) wavelength: 1/k＞ frequency:1/ω (B) wavelengtii: k/(2π), frequency: 2π/ω (C) wavelength: frequency: 2π/k，frequency:2π/ ω(D) wvelength: 2πk, frequency: 2πω (E) wavelength: 2π/k, frequency:ω/(2π)

61. Sanger's reagent (shown below) is a chemical used for protein sequencing. This reagent works by reacting with the N-terminal amino acid of polypeptides. Which is the product formed when Sanger's reagent is reacted with Glycine?(A)(B)(C)(D)(E)

67 △H°and△S° for the vaporization of Br₂(I) at 25°C and 1 atm are 30.8 kJ/mol and 92.8 J/K-mol, respectively. Assuming △H° and △S°are temperature independent, calculate the normal boiling point of bromine. (A)25°C (B) 332°C (C) 0°C (D) 332 K (E) none of the above

69. Compound A on ozonolysis yields acetophmone and propanal. What is the structure of compound A? (A) 2-jAenyI-2-pentene (B) 1-phenyl-1-hexene (C) l-phenyl-2-pentene (D) 2-phenyl-2-hexene (E) none of the above

71. Identiiy the C3 epimer of tiie sugar on the rigit drawn in its open chain (acyclic) Fischer projection. (A)(B)(C)(D)(E)

72. A first-row transition metal complex [M(H₂O)₆]²⁺ has the ligand field stabilization energy of -O.6△_o, M=________  . (A) Ti (B) V (C)Cr (D)Mn (E) none of the above

78. The activation energy for reaction H₂(g) + l₂(g) →2 HI(g) is changed from 184 kJ/mol to5 9 kJ/mol at 600 K by the introduction of a Pt catalyst. Calculate the value of the ratio rate(catalyzed)/rate(uncatalyzed). (A) 1.00 (B) 0.32 (C) 2.58 (D) 7.6x10】° (E) none of the above

80. The reaction, 2H₂O(g) — 2H₂(g) + O₂(g), has a positive value for △G°. Which of tfie following statements must be true? (A) The reaction is slow. (B) The reaction will not occur. That is, when H₂O(g) is introduced into a flask, no O₂ or H₂ will fonn even over a long period of time. (C) The equilibrium lies far to the right. (D) The reaction is exothermic. (E) None of these are true.

83. Sort the following compounds in decreasing order by their pKa valuesCfrom highest to lowest). (A) I＞Ⅱ＞Ⅲ＞Ⅳ(B) IV＞Ⅲ＞Ⅱ＞I(C)IV＞Ⅱ＞Ⅲ＞I (D)Ⅲ＞I＞Ⅱ＞IV(E)I＞Ⅲ＞Ⅱ＞I

84. Which of the reactions below shows the correct usage of curly arrows? (A)(B)(C)(D)(E)

85. Which of the following radicals is the most stable? (A)(B)(C)(D)(E)

88. Choose the correct statement. (A) A reaction that exhibits a negative value of △S cannot be spontaneous. (B) Exothermic reactions are always spontaneous. (C) Free energy is independent of temperature, (D) At constant pressure and temperature, a decrease in free energy ensures an increase in the entropy of the system. (E) None of the above.