所屬科目:學士後◆化學
4. An incompressible fluid of density ρ is in a bucket on the elevator floor accelerating upward with acceleration a. What is the pressure difference between two points in the fluid separated by a vertical distance △h? (Gravitational acceleration is g) (A) ρa△h (B) ρg△h (C) ρga△h (D) ρ(g – a)△h (E) ρ(g + a)△h
5. The figure shows a standing wave pattern in a string. What is the wavelength of one of the component traveling waves? (A) 10 cm (B) 20 cm (C) 40 cm (D) 60 cm (E) 120 cm
6. The figure shows four situations in which a source of sound S and a detector D are either moving or stationary. The arrows indicate the directions of motion. The speeds (when not zero) are all the same. (Note that the detector in situation ③ is stationary). Rank the situations according to the apparent frequency of the source, lowest to highest. (A) ①,②,③,④ (B) ④,③,②,① (C) ①,③,②,④ (D) ②,①,④,③ (E) ②,①,③,④
8. A sample of an ideal gas is taken through the cyclic process abca shown in the figure. The scale of the vertical axis is set by At point a, T = 200 K. What is the temperature of the gas at point c? (A) 400 K (B) 600 K (C) 1419 K (D) 1800 K (E) 4258 K
10. The point P lies along the perpendicular bisector of the line connecting two long straight wires S and T that are perpendicular to the page. A set of directions A through H is shown next to the figure. When the two equal currents in the wires are directed up out of the page, the direction of the magnetic field at P is closest to the direction of ______. (A) A (B) E (C) F (D) G (E) H
16. In the given reaction coordinate diagram, how many intermediate(s) is/are presented? (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
17. How many nanometers is equal to 7.6 meters? (A) 76 × 107 (B) 76 × 108 (C) 76 × 109 (D) (E)
20. Determine the hybridization of Cl in . (A) sp (B) sp2 (C) sp3 (D) dsp3 (E) d2sp3
27. Which of the following anions is the most basic? (A) (B) (C) (D) (E)
28. Which of the following element or ions is the largest in size? (A)(B)(C) Ne (D) (E)
30. I. The hybridization of boron in BF3 is sp3.II.The molecule of is polar.III. The bond order of N2 molecule is two.IV. The molecule of HCN has one pi bond and two sigma bonds.Which is true?(A) All four statements are correct. (B) II is incorrect.(C) I and IV are incorrect. (D) II and III are incorrect.(E) All four statements are incorrect.
31. The velocities of drivers A and B are shown as functions of time in the figure below. Driver B starts her car at the instant driver A passes her. At which moment on the graph are drivers A and B side by side? (A) 0 s, 2 s (B) 0 s, 4 s (C) 2 s, 4 s (D) 2 s, 6 s (E) 4 s, 6 s
32. A uniform cord has the mass per unit length λ and it is arranged as that shown in the figure. Here the tension is maintained by suspending an object of mass M from one end. What is the speed of a pulse on the cord if the tension force is not affected by the mass of the cord? (Gravitational acceleration is g) (A) (B) (C) (D) (E)
33. As shown in figures (a) and (b), a constant force F is applied to the two contact blocks in both cases. In figure (a), block A pushes against block B with a 20 N force directed horizontally to the right. In figure (b), block A pushes against block B with a 10 N force directed horizontally to the left. The total mass of two blocks is 12 kg. Which of the following statement is correct? (Gravitational acceleration g = 10 m/s2 ) (A) The magnitude of F is 20 N. (B) The mass ratio between block A and B is 2. (C) The acceleration in (a) is 1.5 m/s2. (D) The acceleration in (b) is 2.5 m/s2. (E) The mass of block A is 8 kg.
34. A force of acts on a particle, changing only the kinetic energy of the particle. How much work is done on the particle as it moves from (2, 3) to (3, 0)? (A) 6 (B) 5 (C) 3 (D) 2 (E) 1
35. A block of mass 2 kg on a table is pushed by a force of 20 N directed with an angle of 30o downward from the horizontal as shown in the figure. The kinetic frictional coefficient is 0.2. What is the work done by the frictional force after traveling 10 m long? (Gravitational acceleration g = 10 m/s2) (AB) 10 J (AC) 30 J (AD) 40 J (AE) 50 J (BC) 60 J (BD)一律送分
37. An estimated force-time curve for a baseball struck by a bat is shown in the figure. From this curve, determine the average force exerted on the ball. (A) 3 kN (B) 5 kN (C) 6 kN (D) 7 kN (E) 9 kN
38. A ball of mass m is released from a height of ?. What is its speed when it is at a height of y? (Gravitational acceleration is g) (A) (B) (C)(D) (E)
39. A wheel of radius ? and moment of inertia I is mounted on a frictionless horizontal axle as shown in the figure. A light cord wrapped around the wheel supports an object of mass m. What is the linear acceleration of the object? (Gravitational acceleration is g) (A) (B) (C) (D) (E)
40. A block with a speaker bolted to it is connected to a spring having spring constant k = 20 N m as shown in figure. The total mass of the block and speaker is 5 kg, and the amplitude of this unit’s motion is 0.5 m. The speaker emits sound waves of frequency 440 Hz. Determine the highest frequency heard by the person to the right of the speaker. (Assume that the speed of sound is 343ms) (A) 481 Hz (B) 471 Hz (C) 461 Hz (D) 451 Hz (E) 441 Hz
41. A wire of length L, Young’s modulus ?, and cross-sectional area A is stretched elastically by an amount ∆L . It behaves as a spring by using the Hooke’s law. What is the work done in stretching the wire by an amount ∆L? (A)(B)(C)(D)(E)
43. Ethanol of density ?? flows smoothly through a horizontal pipe that tapers in cross-sectional area from A1 to A2 (A1 = 2A2) as shown in the figure. The pressure difference between the wide and narrow sections of pipe is ∆P. What is the volume flow rate of the ethanol? (A) (B) (C) (D) (E)
45. The figure shows a closed cycle for a gas. From c to b, 60 J is transferred from the gas as heat. From b to a, 100 J is transferred from the gas as heat, and the magnitude of the work done by the gas is 80 J. From a to c, 400 J is transferred to the gas as heat. What is the work done by the gas from a to c? (A) -240 J (B) 240 J (C) 320 J (D) -320J (E) -160 J
49. A cylinder contains n mol of helium gas (ideal monatomic gas) at a temperature of 300 K. The universal gas constant is R ( ) , where is Avogadro’ number and is Boltzmann’s constant. If the gas is heated at constant pressure, how much energy must be transferred by heat to the gas after it is heated to 500 K? (A) 200n? (B) 300n? (C) 500n? (D) 800n? (E) 1000n?
50. The switch is connected to position a for a long time interval as shown in the figure. At t = 0, the switch is thrown to position b. After this time, what are the frequency of oscillation of the LC circuit? (A) 159 Hz (B) 359 Hz (C) 559 Hz (D) 759 Hz (E) 959 Hz
51. An infinite long wire is charged uniformly with line charge density λ. What is the electric field at a point with a distance y from the stick? (Electric constant is ε0) (A) (B) (C) (D) (E)
52. A charge +q is at the position a and a second charge – q is placed at – a as shown in the figure. What is the limiting form of the electric field for x ≫ a? (Coulomb’s constant is ) (A) (B) (C) (D) (E)
54. Electric currents I1 and I2 are flowing through two parallel electric wires which are separated apart by a distance ?. What is the force per unit length between the two parallel wires? (Magnetic constant is μ0) (A) (B) (C) (D) (E)
55. While you are under water in a pool, you look up and see objects above water in a circle of light with a radius ?. The rest of your vision is the color of the sides of the pool. Assume that the index of refraction of air is 1 and that of water is n. How deep are you in the pool? (A) (B)(C) (D) Rn (E)
56. The pupil of a cat’s eye narrows to a vertical slit of width 0.5 mm in daylight. Assume the average wavelength of the light is 500 nm. What is the angular resolution for horizontally separated mice? (A)(B)(C)(D) (E)
57. The focal length of a spherical, concave mirror is 8 cm. An object is placed at a distance of 24 cm in front of the mirror. How fast does the image move if the object starts to move at speed toward the concave mirror? (A) (B)(C) (D) (E)
58. In a lecture demonstration of single-slit diffraction, a laser beam of wavelength λ passes through a vertical slit of a wide a and hits a screen at a distance of L away. What is the width of the central diffraction maximum on the screen? (A) (B) (C) (D) (E)
59. An AC voltage source is connected to a capacitor. There is a phase difference between the voltage across the capacitor and the current passing it. Which of the following statement is correct? (A) The phase of the current leads the voltage by π/2. (B) The phase of the current leads the voltage by π/4. (C) The phase of the current lags the voltage by π/2. (D) The phase of the current lags the voltage by π/4. (E) None of the above.
60. MRI machine probes the concentration distribution of water molecules by detecting the magnetic resonance between the nucleus of hydrogen atoms, placed in a strong static magnetic field B, and a small alternating magnetic field of frequency f. If B is 2T and the z-component of the proton magnetic moment is J/T. What is the frequency f of the alternating magnetic field? (Plank constant is J/s) (A) 43 MHz (B) 85 MHz (C) 170 MHz (D) 340 MHz (E) 680 MHz
61. When a certain atom emits a photon of light at 232 nm, what is the frequency of this light? (A) (B)(C) (D)(E) None of the above.
66. Which of these species, , should be paramagnetic? (A)(B) (C)(D) only O2 (E) All three are paramagnetic.
67. Based on the molecular orbital theory, which of the following molecules has the strongest bond? (A) (B) NO (C) (D) (E) All the above molecules have the same bond strength.
72. Consider the following reaction: (A) a. No shift; b. shift to left; c. shift to right (B) a. No shift; b. shift to right; c. shift to left (C) a. Shift to right; b. shift to left; c. no shift (D) a. Shift to left; b. shift to right; c. shift to right (E) a. Shift to left; b. shift to right; c. shift to left
73. Consider the following reaction at equilibrium. Which change will cause the equilibrium to shift to the left? (A) Increase the container volume (B) Remove some NO (C) Decrease the temperature (D) Add more NOBr (E) Increase the temperature
75. What is the point group of triphenylphosphine? (A) (B) D3 (C) (D) C3 (E)
76. Consider a galvanic cell based on the following reactions: What is the value of ∆Go? (A) -84 kJ (B) -373 kJ (C) -746 kJ (D) -1120 kJ (E) -2240 kJ
77. What type of radioactive process would be expected in the following reaction? (A) α particle production (B) β particle production (C) positron production (D) γ ray production (E) electron capture
79. Which one of the following is paramagnetic? (A) (B) (C) (D) (E)
81. Two well-known complex ions containing Ni are , which is green, and , which is purple. Which one of the following statements is true? (A) The crystal field splitting energy (△) is greater for than for . (B) absorbs energy in the red region of the spectrum. (C) Both complex ions are diamagnetic. (D) transmits light with wavelengths of approximately 650–700 nm. (E) The green complex absorbs green light.
82. Which of the labeled C-H bond is the weakest? (A) I (B) II (C) III (D) IV (E) V
84. What is the structural relationship of the following two compounds? (A) not isomers (B) conformational isomers (C) cis-trans isomers (D) structural isomers (E) both conformational isomers and structural isomers
85. A tetracyclic compound, aldrin , was used as an insecticide. How many double bonds are presented in aldrin? (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
86. Which of following structures presents the most stable conformation of cis-1-ethyl-2- isopropylcyclohexane? (A) (B) (C) (D) (E)
87. Determine the most acidic compound shown below. (A) A (B) B (C) C (D) D (E) There is not enough information to determine the acidic order.
88. Peramivir has shown to be effective against the influenza B virus. Rank following nitrogen atoms in the order from the strongest base to the weakest base. (A) 1 > 3 > 2 (B) 2 > 1 > 3 (C) 2 > 3 > 1 (D) 3 > 2 > 1 (E) 3 > 1 = 2