112年 - 112 國立中山大學_學士後醫學系招生考試：物理及化學#113601

科目：學士後西醫物理及化學 | 年份：112年 | 選擇題數：90 | 申論題數：0

試卷資訊

所屬科目：學士後西醫物理及化學

選擇題 (90)

1. Which equation may describe a damped harmonic oscillator? x is for the displacement of the body and m. b, k are all positive real. (A) (B)(C)(D)(E)

2. In the process of free expansion of an isolated ideal gas, which statement is incorrect? (A) The gas gets cooler. (B) The gas does not do work. (C) The gas does not absorb heat. (D) The process is irreversible. (E) The entropy of the system changes.
3. An electron travels in a uniform magnetic field directed perpendicular to its path. Which of the following quantity of the electron will change? (A) Its speed. (B) Its potential energy. (C) Its kinetic energy. (D) Its acceleration. (E) All of the above. 
4. Which statement of the energy carried by a photon is WRONG? (A) It is proportional to the photon frequency. (B) It is inversely proportional to the photon wavelength. (C) It is proportional to the photon mass. (D) All of the above are correct. (E) All of the above are wrong. 
5. A 1000 kg car traveling north at 15 m/s collides with a 2000 kg truck traveling east at 10 m/s. The two vehicles move away from the impact point as one. What is the velocity of the wreckage just after impact? (A)0m/s(B) 8.3 m/s(C)5.0 m/s (D) 6.6 m/s (E) 1.7 m/s

6. When a mass attached to a spring is stretched by an amount x away from its equilibrium position, it oscillates with frequency f. What is the oscillation frequency if the mass is instead released 2x from its equilibrium position? (A)f/2 (B)f (C)(D)2f (E)4f

7. Two waves
are sent to a long string to create a standing wave. Let x be positive (x ≥ 0). Where is the first node (the smallest value of x)? (A) 5 cm (B) 10 cm (C)50 cm (D) 100 cm (E) 200 cm
8. A spherical ball contains a charge +q uniformly distributed over its surface. When its diameter is D, the electric field at its surface has magnitude E. What will the electric field be if its diameter changes to 2D without changing the charge? (A)E (B)2E (C)4E (D) E/2 (E) E/4

9. What is the total energy supplied while the current increases from zero to a final value I? Assume L is the inductance. (A)(B)LI2 (C) 2LI2 (D)(E)4LI2

10. An object is placed between two mirrors of distance apart. If object  is distance away from mirror 1 (see the right figure), what is the distance of the second closest image of object  that appears in mirror 1? (Hint: The closest one is .) (A)(B)28/3 (C)  (D)4 (E) 5

11. Which of the following statements on radioactive decays is true? (A) The rate of decary is proportional to the number of undeeayed substance. (B) The rate of decay  is proportional to the half-life of the undecayed substance. (C) The decay constant is proportional to the half-life of the undecayed substance. (D) The half-life of a substance decreases with time. (E) None of the above. 
12. A force produces potential U(x) = ax4. where a = 1.43 J/m4 . What is the force and direction when the particle is at x = -0.78 m? (A)ON (B)-0.67 N (C) 0.67N (D) -2.7 N (E) 2.7 N

13. In vacuum, an electromagnetic wave traveling along the x axis has an electric field and a magnetic field whose magnitudes depend on x and t as
E(x,t)=E0sin(kx一ωt),B(x,t)=B0sin(kx-ωt+Φ),
where E0 and B0 are the amplitudes of . Which fact below is correct? (A) (B)The directions of  and   are arbitrary once they are perpendicular to x. (C)Φ=π/2 (D) ωk =c (E)This is a linearly polarized wave.
14. Which statement regarding total internal retlection is not true? (A) It cannot occur when the incident light is in the medium of lower index of refraction. (B) Total internal reflection oceurs for rays with their incident angles greater a critical angle. (C) It explains the phenomenon that the water-to-air interface looks like a mirror when an observer is in water. (D) It is used in transmission through optical fibers. (E) The effect is used to realize polarizers.

15. Which of the following statements on a wave functionφ(x,t) in quantum mechanics is correct? (A) The probability of finding the particle in region (B) The wave function can be determined via a series of measurements. (C) Since it is not a function of velocity, it does not carry the information of momentum. (D) All of the above. (E) None of the above.
16. Which type of titration is used to determine the concentration of calcium ions in a sample? (A) Acidity Titration (B) Alkalinity Titration (C) Redox Titration (D) Complexometric Titration (E) Ionic Strength Titration 
17. Which of the following is a cyclic organic compound with four nitrogen atoms? (A) Tetrazine(B) Diazine (C) Triazine (D) Benenze (E) None of the above

18. Which of the following organic compounds with the sum formula CroH4 exhibits two singlets in the 'H NMR spectrum and three signals in the 3C NMR spectrum?(A)(B)(C)(D)(E) None of the above
19. What type of bonds hold the monomers in a typical polymer like PP together? (A) Ionic bonds (B) Hydrogen bonds (C) Covalent bonds (D) Hydrophobic interaction (E) Van der Waals interaction
20. Which of the following amino acids has a positively charged side chain under physiological conditions? (A) Alanine (B) Asparagine (C) Glutamine(D) Aspartate (E) Arginine

21. Determine the ligand field stabilization energy of [Rh(H2O)6]3+. (A)0△o (B) -0.4△o (C)-1.9△o (D) -2.0 △o (E) -2.4 △o
【已刪除】22. Determine the number of isomers for the [Co(NH3)2(H2O)2BrCl]+ complex. (A)3 (B)4 (C)5 (D) 6 (E) 7 

23. The reactionhas a reaction enthalpy of △H = 217 kJ mol-1, If the bond energy of a single phosphorus-phosphorus bond is 200 kJ mol-', how much is the bond energy of the bond? (A) 92 kJ mol-1(B) 192 kJ mol-1(C) 292 kJ mol-1(D) 392 kJ mol-1(E) 492 k)mol-1
24. Cisplatin is a well-known anticancer drug with the chemical formula Pt(NH3)2CI2. Which of the following statements is true? (A) Both Raman and IR spectra of cisplatin show two bands in the Pt-CI stretching region. (B) Only the Raman spectrum of cisplatin shows two bands in the Pt-CI stretching region； the IR spectrum does not show any bands in the Pt-Cl stretching region. (C) Only the infrared spectrum of cisplatin shows two bands in the Pt-CI stretching region； the Raman spectrum does not show any bands in the Pt-Cl stretching region. (D) Both Raman and IR spectra of cisplatin do not show any bands in the Pt-CI stretching region. (E) None of the above.
25. Which of the following is a measure of the randomness of a system in thermodynamics? (A) Energy (B) Pressure (C) Heat transfer (D) Work done(E) Entropy
26. What is the relationship between the activation energy and rate constant of a chemical reaction? (A) The rate constant is proportional to the negative activation energy. (B) The rate constant is inversely proportional to the negative activation energy. (C) As the activation energy decreases, the rate constant remains constant. (D) As the activation energy increases, the rate constant increases exponentially. (E) As the activation energy increases, the rate constant decreases exponentially.
27. Organic compounds can be classified based on their functional groups. Which of the following is not a functional group? (A) Isocyano (B) CarbonyI (C) Isocyanide (D) Carboxyl (E) None of the above
28. Which of the following binary compounds has two different solid-state structures? (A) NaCl (B) CsCI (C) CaF2(D) NiAs (E) ZnS
29. Which of the following compounds is typically not needed for the conversion of trialkyI borane to an alcohol? (A) Sodium hydroxide (B) Water (C) Diborane (D) Hydrogen peroxide (E) None of the above
30. Arrangement of nucleotides in DNA can be seen using which of the following methods? (A) Electron microscopy (B) Electrospray ionization mass spectrometry (C) X-Ray crystallography (D) Cyclic voltammetry (E) Fourier-transform infrared spectroscopy

31. A ball at rest with mass m and radius r Ci.e. rotational inertia I= ) rolls without sliding from a bowl of radius R from height h (see figure below). The coefficient of static friction between the ball and the bowl is μ. What is the maximum height it can reach on the other side of the bowl?
(A)(B) (C)h (D)(E)μh

32. A cannonball of mass 10.0 kg is fired upward. The cannonball explodes into 3 pieces when it reaches the maximum height. At the moment of explosion, a 5-kg piece carries velocitywhile another 4-kg piece carries velocity. What is the velocity of the third piece? (A) Cannot be determined without knowing the energy provided by the explosion (B)(C)(D)(E)

33. Two bodies of mass m are connected individually to strings of length R, which are both pinned at P, as shown in the right figure. One body is raised with an angle θ and then released to swing. When the bodies collide, they stick to each other. Find the frequency of the motion after the collision.(A)(B)(C)(D)(E)
34. A block of density 800 kg/m3 floats face down in a fluid of density 1200 kg/m3. The block has height H= 6 cm. If the block is held fully submerged and then released, what is the magnitude of its initial acceleration? (A) 2.45 m/s2 (B)19.6 m/s2(C)0m/s2 (D)9.8 m/s2 (E) 4.9 m/s2
35. What is the pressure difference between the heart and the brain of a man if the brain is 40 cm above the heart? (The density of blood is 1.05 g/cm3) (A)411.6Pa(B)4116Pa(C)41160Pa(D)411600Pa(E)41.16 Pa
36. A Mashlight uses two 1.5-V batteries. If the current passing through the lightbulb is 0.5 A. how much energy is consumed by the lightbulb in half an hour? (A)45J (B)90J (C)900J (D) 2700 J (E) 10800 J

37. A circuit, as shown in the right figure, contains four inductors of L1=20.0 mH, L2=30.0 mH, L3 =40.0 mH, and L4 =50.0 mH. What is the equivalent inductance of the cireuit?(A) 102 mH (B) 15.38 mH (C) 140mH (D) 7.81 mH (E) 60 mH

38. It takes time T for M gram(s) of a radioactive substance to decay to M /4 gram(s). How long does it take for M/4 gram(s) of the substance to decay to M /8 gram(s)? (A)2T(B)T (C)T/2(D)T2 (E)
39. A 5.0-kg ball is dropped from a cliff. Given the resistive force is R = (0.49 kg/m)v2, where v is the speed of the ball, and the gravitational acceleration is g = 9.8 m/s2, what is the terminal speed the ball? (A) 4.9 m/s (B) 10 m/s (C)40 m/s (D) 2.0 m/s (E) 20 m/s

40. In the figure, the string is tensioned by a hanging block of mass m and can vibrate with a fundamental frequency f. If one wants to create a fundamental frequency of 2f, what should the block's mass be?(A)m (B) (C)2m (D)m/2 (E)4m

41. The force  in the figure will keep the block and the pulleys in equilibrium. The block has mass m. Neglect the mass of pulleys and strings and friction in the system. What is the strength of?(A)mg (B)mg/3 (C)mg/5 (D)mg/7 (E) mg/9

42. At one instant, a force acts on a 0.25 kg object that has position vectorand velocity What is the object's angular momentum about the origin? (A) -1.5 kg m2/s (B) 1.5 kg m2/s (C) -0.75 kg m2/s(D) -0.375 kg m2/s(E)0 kg m2/s
43. A jet aircraft of speed 200 m/s is making a vertical circular loop of radius 2 km. What is the force exerted by the seat on the 60-kg pilot at the top of the loop? (Gravitational acceleration g = 9.8 m/s2) (A)12N(B)24 N (C)306N (D) 612 N (E) 48 N

44. Four objects are released from rest at the top of an inclined plane and roll down the plane (see the figure). A is a solid sphere. B is a hollow sphere, C is a solid cylinder, and D is a hollow cylinder. All of the four objects have identical radii and masses. Assume that the objects roll without slipping. Which one would win the race?
(A) A (B) B (C) C (D) D (E) AIl arrive at the end of the inclined plane at the same time. 

45. Knowing that a particle of mass m in a potential will do a simple harmonic motion as x(t) = X cos(ωt +Φ), where x(t) is the position of the particle with time. What will be the angular frequency for a particle of mass 2m when it moves in this potential? (A)ω(B)2ω (C)ω/2(D) (E)

46. Assuming a satellite orbits a planet in a perfect circle with radius r. If the mass of the satellite is Ms and the mass of the planet is MP, what is the speed of the satellite orbiting the planet? (G is the gravitational constant.) (A)(B)(C)(D)(E)

47. If an amount of heat Q can increase the temperature of a solid metal sphere of diameter D from 10℃ to 12℃. What is the amount of heat needed to increase the temperature of a solid sphere of diameter 2D of the same metal from 100C to 16℃? (A)Q(B)3Q (C)6Q (D) 24Q (E) 48Q

48. Two opposite charges +q and -q are located as the right figure shows. What is the resulting electric field at points on the y axis?
  (A)(B) (C)(D)(E)0

49. What is the capacitance of a parallel plate capacitor? Assume A is the area of each plate, ε is electric constant and d is the distance between plates. (A)(B) (C)(D)(E)

50. A magnetic flux is through the conducting loop according to the relation ΦB(t) = 6t2 + 7t, whereΦB is in milliwebers and t is in seconds. What is the magnitude of the emf induced in the loop when t =2.0 s? (A) 38mV (B) 30 mV (C) 31 mV (D) 15 mV (E) 15.5 mV
51. The intensity of electromagnetic energy 3 m from the point source is 100 W/m2. What is the intensity 30 m away? (A) 1000 W/m2 (B) 100 W/m2 (C) 10 W/m2 (D) 1 W/m2 (E) 0.1 W/m2
52. If the distance between the first and the tenth minima of the double-slit pattern is 18.0 mm and the slits are separated by 0.150 mm with the screen 50.0 cm from the slits, what is the wavelength of the light used? (A) 400 nm (B) 500 nm (C) 600 nm (D) 700 nm (E) 800 nm

53. A 29.5-kg boy standing still on a frictionless surface catches a 500-g dodgeball with velocity = (20.0 m/s). What is the total energy loss of the system(the boy and the dodgeball)? (A) 16.7 J (B) 48.0 J (C) 98.3 J (D) 67.6 J (E) Not enough information
54. A block with mass 0.5 kg is forced against a horizontal spring of negligible mass, compressing the spring with a distance of 0.2 m. When the block is released, the block moves on a horizontal tabletop for 1.0 m before coming to rest. The force constant of the spring is 100 N/m. What is the coefficient of kinetic friction between the block and the tabletop? (A)0.16(B) 0.25 (C)0.32(D) 0.41 (E) 0.53
55. The gravitational acceleration at the surface of Earth is g. Another planet has the density of Earth but twice the radius. What is the gravitational acceleration at the surface of the planet? (A)8g (B) 4g (C) 2g (D)g (E) g/4

56. The left column of a U-tube is filled with liquid A of density ρA, and the right column is filled with another liquid B of density ρB = ρA/3. How much higher is the liquid in the right column than in the left one (see figure right)?
(A)h=6cm (B)h=4cm (C)h=3cm (D)h=2 cm (E)h=1 cm

57. An ideal gas undergoes a reversible isothermal expansion. The change in entropy △S of the gas versus the volume of the gas is shown on the right. When Y'is expanded from 0.5m3 to 2 m3. △S =3 J/K. How many moles are in the sample? (The gas constant is R-8.3 J.K-1·mol-1)
(A) 10 mol (B) 49.8 mol (C) 0.26 mol (D) 3.74 mol (E) 104.3 mol

58. An ideal monatomic gas undergoes the following reversible process (a→b). How much energy of heat is absorbed by the gas?
(A)T0S0 (B)T0S0/2 (C)4T0S0 (D)3T0S0/2 (E)0
59. Two conducting spheres with radius r and 3r are separated far-apart. The larger sphere carries charge Q, while the smaller one is neutral. After the two spheres are connected by a conducting wire, what are the charges QS and QL carried by the smaller sphere and larger sphere, respectively? (A) QS = 15Q/16 andQL = Q/16 (B) QS = 9Q/10 and QL = Q/10 (C) QS = Q/10 and QL= 9Q/10 (D) QS = Q/16 andQL= 150/16 (E) QS = Q/4 and QL= 3Q/4

60. What is the electrical oscillations angular frequency in an inductance-capacitor circuit? Assume L is the inductance and C is capacitance.(A)(B)(C)(D)(E)

61. Which symbol is used to denote the coupling between non-equivalent hydrogen atoms on adjacent carbon atoms in NMR spectroscopy? (A)J (B)Hz (C)δ (D)eV (E) ppm
62. What is the role of AlCl3 in the reaction of benzene and Cl2? (A) To act as a nucleophile (B) To act as an electrophile (C) To strengthen the Cl–CI bond (D) To increase the reactivity of the electrophile (E) To act as a neutral species
63. Which of the following methods can be used to determine the molecular weight of a protein?
Ⅰ: Sodium dodecyI sulfate-polyacrylamide gel electrophoresis； Ⅱ: Size-exclusion chromatography； Ⅲ: Electrospray ionization mass spectrometry； IV: Infrared spectroscopy； V: Ultraviolet-visible spectroscopy (A) Ⅰ, Ⅱ, Ⅲ, IV,V (B) Ⅰ,Ⅱ, Ⅲ, IV (C)  Ⅰ, Ⅱ, Ⅲ (D) Ⅰ, Ⅱ (E) Ⅰ
64. Boron consists of two isotopes, 10B and 11B. Chlorine also has two isotopes, 35CI and 37CI. Consider the mass spectrum of BCl3. How many peaks would be present? (A)7 (B)8 (C)9 (D) 10 (E) 11 
65. Which of the following statements about I D NMR and 2D NMR spectroscopy is INCORRECT? (A) ID NMR is faster than 2D NMR. (B) ID NMR gives less information than 2D NMR. (C) 2D NMR spectrum provides information about the spatial relationships between different nuclei in the sample, such as the distances and angles between atoms. (D) 2D NMR distinguishes between the overlapping signals that exist in larger molecules. (E) The advantage of 2D NMR spectroscopy is that it requires only one frequency axis.
66. The half-life of 14C is 5730 years. A sample taken for radiocarbon dating has been found to contain56 % of its original 14C. Which of the following options is the best estimate for the age of the sample? (Radioactive decay of 14C follows first-order kinetics.) (A)4.8x102(B) 4.8x103(C) 4.8x 105(D) 4.8 x 106(E) 4.8 x 100
67. Sort the molecules in the order from the largest bond angle to the smallest bond angle: H2O, NH3, BF3, CH4, CO2 (A) CH4, CO2, H2O, BF3, NH3 (B) CO2, BF3, CH4, NH3,H2O (C) NH3, H2O, BF3, CO2, CH4 (D) H2O, NH3, BF3, CH4, CO2 (E) BF3, NH3,  H2O, CH4, CO2
68. If the ionization energy of a hydrogen atom is 13.6 eV, the energy required to excite it from ground state to the next higher state is approximately: (A) 3.4eV(B)10.2eV(C)17.2eV(D)13.6eV(E)6.8 ev

69. Hemocyanins (Hc) are proteins that transport oxygen throughout the bodies of some invertebrate animals. These metalloproteins contain two copper atoms that reversibly bind a single oxygen molecule (O2). The scheme below shows a proposed structure of how the copper atoms bind to oxygen. What is the oxidation state of the copper atoms in the product? L is a neutral ligand.   (A)+1,+1(B)+2,+2(C)+3,+3(D)+0.5.0.5(E)+1.5.+1.5
70. The value of the Bohr radius for hydrogen is: (A)0.529 x 10-6cm (B) 0.529 x 10-8cm (C) 0.529 x 10-10cm (D) 0.529 x 10-12 cm (E) 0.529 x 10-14 cm 
71 . Select the rate law that corresponds to the data shown for the following reaction:
 A+B→ Products 
[X]0 represents the initial concentration for a species X.
(A) Rate = k[A]3 (B) Rate = k[A]2[B]1 (C) Rate = k[A]1[B]2 (D) Rate = k[B]3 (E) None of the above
72. Which one of the following tetrahedral MXF- complexes has the strongest crystal field stabilization? (A) FeCl42- (B) MnCl42- (C) CoCl42- (D) NiCI42- (E) CuCI42- 
73. Although the peroxide ion, O22-, and the acetylide ion. C22-, have long been known. the diazenide ion N22- has only been prepared in 2001. By comparison with the other diatomic species, N2 and O2, what is the bond order and number of unpaired electrons for N22-, respectively? (A)1,1 (B)3.1 (C)2.1 (D)2.0 (E) 2.2
74. Calculate the reduced mass of HF molecule given that the mass of H atom is 1 amu and the mass of F atom is 19 amu. Note: assume 1 amu = 20 mg. (A) 18mg (B) 19mg (C) 20mg (D) 21 mg (E) 22 mg 
75. What factors affect the ionization energy of an atom? (A) Electron shielding (B) Electron configuration (C) Nuclear charge (D) All of the above (E) None of the above

76. How can we explain the fact that CCl4 is a liquid and CL. is a solid at 25℃? Which of the following options is the best explanation? (A) CCl4 has a larger dipole moment than Cl4 due to the higher electronegativity of CI compared to I. (B) Cl4 has a larger dipole moment than CCl4 because there is stronger electron repulsion in the Cl-I bonds than in the C-CI bonds. (C) London dispersion forces are stronger in C Cl4 than in  Cl4 because Cl is more electronegative than I. (D) London dispersion forces are stronger in  Cl4 than in C Cl4 because  Cl4 has a more easily polarizable electron cloud. (E) None of the above. 
77. How many microstates does a s1d1 electron configuration have? (A)5(B)10 (C)15 (D) 20 (E) 25
78. The most probable distribution function for a system of molecules is given by (A) Maxwell-Boltzmann distribution (B) Fermi-Dirac distribution (C) Bose-Einstein distribution (D) All of the above (E) None of the above 
79. What is the oxidation state of the terminal nitrogen atom in azide ions? (A)-3 (B)-1 (C)+1 (D) +4 (E)+5 

80. What is the highest occupied molecular orbital of a C24- ion? (A)σ2s* (B) π2p (C) σ2p(D)π2p* (E) σ2p*
81. On the basis of VSEPR, what is the predicted point group for XeO2F2? (A)Ci (B) Cs (C)C2v (D) C4v (E) D3h
82. Sort the ions in the order from the largest radius to the smallest radius:
(1) Se2- (2) Br- (3) Rb+ (4) SR2+ (A)1,2,3,4 (B)4,3,2,1 (C)3,1,2,4 (D)3,2,1,4 (E) 3,1,4,2
83. What is the highest molecular orbital degeneracy of cyclic H3+? (A)0(B)1 (C)2 (D)3 (E)4
84. Which of the following [M(H2O)o"* complexes reacts the slowest in a water exchange reaction? (A) Cu2+ (B) High-spin Fe3+ (C) V3+(D) Ti3+ (E) Cr3+ 
85. How many carbonyI stretching bands could be observed in the IR spectrum of the [Co(CO)3(PPh3)2]+ complex exhibiting a trigonal bipyramidal molecular geometry, where all three CO ligands are in the equatorial plane? (A)1 (B) 2 (C)3 (D)4 (E) 5 
86. The infrared spectrum of synthesized [Co(CO)2(CN)2Br2]- exhibits two bands attributable to C-O stretching but only one band attributable to C-N stretching. What is the most likely arrangement of the coordinated CO and CN ligands around the Co center, respectively? (A) cis C-O, trans C-N (B) cis C-O, cis C-N (C) trans C-O, cis C-N (D) trans C-O, trans C-N (E) None of the above
87. In Valence Bond theory, bonds between atoms are formed by________.(A) overlap of proton wave functions (B) overlap of neutron wave functions (C) overlap of electron wave functions (D) overlap of proton and neutron wave functions (E) overlap of positron wave functions
88. What is the formal charge of the oxygen atom in a molecule of CO2? (A)0(B)+1 (C)-1 (D)+2 (E)-2
89. What does a low relative standard deviation indicate? (A) High accuracy (B) High precision (C) Low accuracy (D) Low precision (E) None of the above 

90. What is the number of σ-bonds in ethylene (C2H4)? (A)1 (B)2 (C)3 (D)4 (E) 5

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