所屬科目：學士後西醫物理及化學
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)
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 wavesare 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
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.
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 asE(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.
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.
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
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
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
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)
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)
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
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
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
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
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
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
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.
80. What is the highest occupied molecular orbital of a C24- ion? (A)σ2s* (B) π2p (C) σ2p(D)π2p* (E) σ2p*
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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(B)
(C)
(D)
(E) 
(D)2f (E)4f
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
(B)LI2 (C) 2LI2 (D)
(E)4LI2
is placed between two mirrors of distance
apart. If object 
away from mirror 1 (see the right figure), what is the distance of the second closest image of object 
(A)
is proportional to the number of undeeayed substance. (B) The rate of decay 
and a magnetic field 
whose magnitudes depend on x and t as
. Which fact below is correct? (A) 
(B)The directions of 
(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.
(B)
(C)
(D)
(E) None of the above
has 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
) 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
while 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)
(A)
(B)
(C)
(D)
(E)
(A) 102 mH (B) 15.38 mH (C) 140mH (D) 7.81 mH (E) 60 mH
(A)m (B)
(C)2m (D)m/2 (E)4m
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
acts on a 0.25 kg object that has position vector
and 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
(A) A (B) B (C) C (D) D (E) AIl arrive at the end of the inclined plane at the same time. 
(E)
(B)
(C)
(D)
(E)
(A)
(B)
(C)
(D)
(E)0
(B)
(C)
(D)
(E)
= (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
(A)h=6cm (B)h=4cm (C)h=3cm (D)h=2 cm (E)h=1 cm
(A) 10 mol (B) 49.8 mol (C) 0.26 mol (D) 3.74 mol (E) 104.3 mol
(A)T0S0 (B)T0S0/2 (C)4T0S0 (D)3T0S0/2 (E)0
(B)
(C)
(D)
(E)
(A)+1,+1(B)+2,+2(C)+3,+3(D)+0.5.0.5(E)+1.5.+1.5
(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