109年 - 109 高雄醫學大學_學士後醫學系招生考試：物理#87237

1. Consider the block and spring system shown in the drawing. On the earth’s surface the natural frequency is ω. The system is then transported into moon’s surface (Gravitational acceleration: g_Moon= g_Earth/6). How will the natural frequency of the system change? (A) 6ω (B) ω (C) ω/6 (D) ω/(E) The frequency doesn’t change.

2. What is this body’s moment of inertia I about axis through disk A? (A) 1.8 kg · m (B) 1.8 kg · m² (C) 4.0 kg · m (D) 4.0 kg · m²(E) 5.0 kg ·m²

3. The figure shows a plot of the time-dependent force acting on a particle in motion along the x-axis. What is the total impulse delivered to the particle? (A) 0 kg · m/s (B) 1 kg · m/s (C) 2 kg · m/s (D) 3 kg · m/s (E) 4 kg · m/s

4. A block of mass m sliding down an incline at constant speed is initially at a height h above the ground, as shown in the figure. The coefficient of kinetic friction between the mass and the incline is μ.If the mass continues to slide down the incline at a constant speed, how much energy is dissipated by friction by the time the mass reaches the bottom of the incline? (A) mgh/µ (B) mgh (C) µmgh/ sin θ (D) mgh sin θ (E) 0

5. A baseball is thrown vertically upward and feels no air resistance. As it is rising (A) both its momentum and its mechanical energy are conserved. (B) both its momentum and its kinetic energy are conserved. (C) its kinetic energy is conserved, but its momentum is not conserved. (D) its momentum is not conserved, but its mechanical energy is conserved. (E) its gravitational potential energy is not conserved, buts its momentum is conserved.

6. Which step is one of the Carnot cycle? (A) Isobaric compression (B) Isochoric compression (C) Isothermal compression (D) Isochoric expansion (E) Isobaric expansion

7. One surface is remained at temperature of 300 K and it’s heat current in radiation is H. When it was heated to 600 K, what is the heat current in radiation of this surface comparing to that at 300 K? (A) 32H (B) 16H (C) 8H (D) 4H (E) 2H

8. A conducting sphere is charged up such that the potential on its surface is 100 V (relative to infinity). If the sphere's radius were twice as large, but the charge on the sphere were the same, what would be the potential on the surface relative to infinity? (A) 25 V (B) 50 V (C) 100 V (D) 200 V (E) 400 V

9. There is a solid insulating sphere with radius R and total charge Q. Which diagram is correct for electric field E at any point inside or outside the sphere? (A) (B) (C) (D) (E)

10. An object is placed at a distance 5.0 cm to the left of a concave mirror with a curvature radius 5.0 cm. Determine the location and magnification of the image formed by this image system. (A) The image is formed 2.5 cm to the right of the mirror and it has a magnification of −1/2. (B) The image is formed 5.0 cm to the right of the mirror and it has a magnification of −1. (C) The image is formed 2.5 cm to the left of the mirror and it has a magnification of 1. (D) The image is formed 5.0 cm to the left of the mirror and it has a magnification of −1. (E) The image is formed 1.25 cm to the left of the mirror and it has a magnification of −1/4.

11. Soap bubble is colorful. What is the phenomenon of the colorful reflection appeared in the thin films? (A) Diffraction (B) Dispersion (C) Interference (D) Refraction (E) Total refraction

12. One rope with weight 2.0 kg and length 10.0 m is tied on a shelf and stretched taut by a 98 kg box at the bottom. What is the speed v of a transverse wave on the rope? (Gravitational acceleration g = 10 m/s²) (A) 10.0 m/s (B) 10.7 m/s (C) 70.0 m/s (D) 70.7 m/s (E) 100.0 m/s

13. A 80 kg baseball player begins his slide into third base at speed of 5 m/s. The coefficient of friction between his clothes and ground is 0.8 to make him stopped when he reached the third base. How far does he slide? (A) 1.22 m (B) 1.32 m (C) 1.41 m (D) 1.50 m (E) 1.59 m

14. Given that the wavelengths of visible light range from 400 nm to 700 nm, what is the highest frequency of visible light? (c = 3.0 × 10⁸ m/s) (A) 3.1 × 10⁸ Hz (B) 5.0 × 10⁸ Hz (C) 4.3 × 10¹⁴Hz (D) 7.5 × 10¹⁴Hz (E) 2.3 × 10²⁰Hz

15. There is a doughnut-shaped toroidal solenoid with 200 turns of wires carrying current 0.02A. The inner radius of that is 1 m and outer radius is 5 m. What is the magnetic field B of this doughnut-shaped toroidal solenoid at the point with distance 0.5 m from center of that? ( μ₀ is permeability constant ) (A) 0 (B) 4 μ0/π (C) 2 μ0/π (D) μ0/2π (E) μ0/4π

31. In a baseball game, the pitcher throw a ball (150 g) at a speed of 30.0 m/s. The batter hit it straight back with a speed of 40.0 m/s. What is the average force exerted by the bat if the bat-ball contact time is 0.005 sec? (A) 300 N (B) 14000 N (C) 1200 N (D) 2100 N (E) 900 N

32. A bullet of mass m traveling at speed v strikes a block of mass M, initially at rest, and is embedded in it as shown below. How far will the block with the bullet embedded in it slide on a rough horizontal surface of coefficient of kinetic friction μ_k before it comes to rest? (A) (B) (C) (D) (E)

33. An unusual spring has a restoring force of magnitude F = (2.00 N/m)x + (1.00 N/m² )x² , where x is the stretch of the spring from its equilibrium length. A 3.00 kg object is attached to this spring and released from rest after stretching the spring 1.50 m. If the object slides over a frictionless horizontal surface, how fast is it moving when the spring returns to its equilibrium length? (A) 5.84 m/s (B) 4.33 m/s (C) 2.06 m/s (D) 5.48 m/s (E) 1.50 m/s

34. Two blocks are in contact on a frictionless table. A horizontal force is applied to the larger block. F = 100 N, m₁ /m₂= 2. The force acting on the small block from the larger one is, (A) 100/2 N (B) 100/3 N (C) 100/4 N (D) 100/6 N (E) 100/8 N

35. A uniform solid sphere of mass M and radius R rotates with an angular speed ω about an axis through its center. A uniform solid cylinder of mass M, radius R, and length 2R rotates through an axis running through the central axis of the cylinder. What must be the angular speed of the cylinder so it will have the same rotational kinetic energy as the sphere? (A) 2ω/5 (B) 2ω/ (C) ω/ (D) ω (E) 4ω/5

36. Two Earth satellites, A and B, of same mass m, are to be launched into circular orbits about Earth’s center. Satellite A is to orbit at an altitude of Earth’ radius, h_A = R_E. Satellite B is to orbit at an altitude of 2h_A. The ratio of the total energy of satellite B to that of satellite A is, (A) 1/2 (B) 2/3 (C) 2 (D) 3/2 (E) 1/4

37. A charged dust particle of mass m = 32 mg and charge value q =100 nC is releasing from plate 1 with zero speed, where V₁ = 130 V, and V₂ = –30 V. The dust particle velocity when reaching plate 2 is, (A) 0.03 m/s (B) 0.05 m/s (C) 0.75 m/s (D) 1.00 m/s (E) 1.25 m/s

38. As a gas is held within a closed chamber, it passes through the cycle shown in the figure. Along path ab, the change in the internal energy is 3.0 J and the magnitude of the work done is 5.0 J. Along path ca, the energy transferred to the gas as heat is 2.5 J. How much the change in the internal energy along path bc? (A) +5.5 J (B) +10.5 J (C) –0.5 J (D) –10.5 J (E) –5.5 J

39. A 30.0 g bullet shoot into an ice at speed of 2.4×10²m/s and stay inside. Assume the kinetic energy is transfer to thermal energy, and absorbed by the ice, what is the change in entropy of the ice? (A) 86.4 J/K (B) 27.0 J/K (C) 31.6 J/K (D) 2.7 J/K (E) 3.16 J/K

40. In process ab, 20 J of heat is added to the system. In process bd, 80 J of heat is added to the system. Find the internal energy change ΔU in process acd? (A) 0 J (B) 20 J (C) 59 J (D) 79 J (E) 100 J

【已刪除】(試題疑義：無答案)41. The density of wood, water and unknown liquid are 0.8 g/cm³ , 1.0 g/cm³ , and 1.2 g/cm³ , respectively. The volume ratio of the wood that can be seen in water and unknown liquid is (A) 5/6 (B) 3/4 (C) 2/3 (D) 1/2 (E) 1/4

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(試題疑義：無答案)42. Water flows through a horizontal pipe and then out into the atmosphere, where d₂/d₁ = 2. The speed of the water at the output of the pipe is v₁ = 10 m/s. The desity of water is 1g/cm³ . What is the gauge pressure at the left section? (1 atm = 1.01 × 10⁵ Pa ) (A) 4.6 atm (B) 4.8 atm (C) 5.0 atm (D) 5.2 atm (E) 5.4 atm

43. A patient need an intravenous drip contains a glucose solution. If the average pressure in the vein is 1.30 kPa, what is the minimum height to hang the bag in order to infuse glucose into the vein? Assume the specific gravity of the solution is 1.02. (A) 0.13 m (B) 1.30 m (C) 0.26 m (D) 2.6 m (E) 0.52 m

44. A balloon is to be filled with helium and used to suspend a mass of 300 kg in air. If the mass of the balloon is neglected, which of the following gives the approximate volume of helium required? (The density of air is 1.29 kg/m³ and the density of helium is 0.18 kg/m³) (A) 50m³(B) 95m³ (C) 135m³ (D) 270m³ (E) 540m³

45. There are two parallel-plate capacitors with same plate area A. As the figure illustrated, C₁ is filled with two materials of dielectric constants κ and 2κ, while C₂ is filled with only one material. The capacitance ratio C₁/ C₂is___________ . (A) 0.5 (B) 1.0 (C) 1.5 (D) 2.0 (E) 2.5

46. What is the equivalent resistance of the circuit in the figure? (A) 8.6 Ω (B) 13.8 Ω (C) 3.6 Ω (D) 42.4 Ω (E) 19.6 Ω

【已刪除】(試題疑義：無答案)47. There is a straight current-carrying conductor with current I =10 A and length L = 2 m. What is the magnetic field B of this conductor at the distance 2 m from that? ( μ0 is permeability constant ) (A) 5 μ₀ (B) 5 μ₀/π (C) 5 μ₀/2π (D) μ₀/2π (E) μ₀/π

48. If the displacement current in a parallel-plate capacitor (0.5 µF) is 4.0 A, at what rate is the potential difference varying across the plates? (A) 2.0 × 10⁶V/s (B) 8.0 × 10⁶V/s (C) 4.0 × 10⁶ V/s (D) 1.25 × 10⁷ V/s (E) The potential difference is not varying

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(試題疑義：無答案)49. Three charge particles are situated as illustrated. Particle 1 and 2 are fixed, while particle 3 is free to move. If there is no net force on the particle 3, what is the charge ratio q₂/q₁? (A) 2 (B) 2/3 (C) 3 (D) –2/3 (E) –2

50. The sliding bar has a length of 1.0 m, and moves at 3.0 m/s in a magnetic field of magnitude 0.5 T. This could induced motional emf. If the resistance in the circuit is 1.0 Ω, what is the power delivered to the resistor if the current goes counterclockwise around the loop? (A) 0.85 W (B) 1.35 W (C) 1.80 W (D) 2.25 W (E) 2.55 W

51. What is the critical angle when a ray passes from diamond into air? The index of refraction for air and diamond is 1.00 and 2.42, respectively. (A) 0° (B) 24° (C) 30° (D) 36° (E) 66°

52. The figure shows the energy levels for an electron in a finite potential energy well. If the electron makes a transition from the n = 3 state to the ground state, what is the wavelength of the emitted photon? (A) 2.3 nm (B) 3.0 nm (C) 5.3 nm (D) 5.7 nm (E) 6.0 nm

53. Light of wavelength 500 nm is incident upon a single slit with width 2 × 10⁻⁴ m. The diffraction pattern is observed on a screen positioned 4 m from the slit. Determine the distance of the second dark fringe from the central peak. (A) 0.01 m (B) 0.02 m (C) 0.03 m (D) 0.04 m (E) 0.05 m

54. Unpolarized light can be polarized, either partially or totally, by reflection. What is the polarizing angle when a ray passes from diamond into air? The index of refraction for air and diamond is 1.00 and 2.42, respectively. (A) 0° (B) 22° (C) 31° (D) 42° (E) 66°

55. Monochromatic light is normally incident on a diffraction grating that is 1 cm wide and has 12,500 slits. The first order line is deviated at a 30° angle. What is the wavelength of the incident light? (A) 300 nm (B) 400 nm (C) 500 nm (D) 600 nm (E) 1000 nm

56. The work function for a certain sample is 2.3 eV. The stopping potential for electrons ejected from the sample by 6.0 × 10¹⁴ Hz electromagnetic radiation is (c = 3.00 × 10⁸ m/s): (A) 0 V (B) 0.18 V (C) 0.36 V (D) 2.0 V (E) 3.6 V

【已刪除】(試題疑義：無答案)57. A police car chases fugitives on the highway at 144 km/hr, its siren emitting sound at a frequency of 500 Hz. What frequency is heard by a passenger in a car traveling at 108 km/hr in the opposite direction as the police car and car approach each other? Assume the speed of sound in the air is 345 m/s. (A) 420 Hz (B) 495 Hz (C) 545 Hz (D) 595 Hz (E) 625 Hz

58. Two cars are approaching to each other. Car A moves at speed v_A = 108.0 km/hr, and the car B at v_B= 72.0 km/hr. The car A sends out a horn sound traveling in air with speed of 343 m/s. The horn’s sound frequency as detected by the car B is 1000 Hz. The horn’s sound frequency that car A sends out is __________. (A) 1212 Hz (B) 1154 Hz (C) 948 Hz (D) 862 Hz (E) 821 Hz

59. The wave function of the string wave is given by , where h denotes a general function. The speed of a wave is____________ . (A) 2 m/s (B) 1.5 m/s (C) 1 m/s (D) 0.5 m/s (E) 0.25 m/s

60. A standing sound wave pattern on a long string is described by y(all in SI unit). The distance between two nodes is ____________. (A) 0.1 m (B) 0.2 m (C) 0.3 m (D) 0.4 m (E) 0.5 m

109年 - 109 高雄醫學大學_學士後醫學系招生考試：物理#87237

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