106年 - 學士後西醫物理及化學106物理#77053

1. The capacitance of a cylindrical capacitor can be increased by: (A) decreasing both the radius of the inner cylinder and the length. (B) increasing both the radius inner cylinder and the length. (C) increasing the radius outer cylindrical shell and decreasing the length. (D) decreasing the radius inner cylinder and increasing the radius of the outer cylindrical shell. (E) only by decreasing the length.

2.A layer of oil with density 800 kg/m³ floats on top of a volume of water with density 1,000 kg/m ³ . A block floats at the oil-water interface with 1/4 of its volume in oil and 3/4 of its volume in water, as shown in the figure below. What is the density of the block ? (A) 200 kg/m³ (B) 850 kg/m³ (C) 950 kg/m³ (D) 1,050 kg/m³(E) 1,800 kg/m³

3. X rays of wavelength λ= 0.250 nm are incident on the face of a crystal at angle θ, measured from the crystal surface. The smallest angle that yields an intense reflected beam is θ = 14.5°. Which of the following gives the value of the interplanar spacing d? ( sin 14.5° 1/4 )(A)0.125 nm (B) 0.250 nm (C) 0.500 nm (D) 0.625 nm (E) 0.750 nm

4. A rod of length L and mass M is placed along the x-axis with one end at the origin, as shown in the figure below. The rod has linear mass density , where x is the distance from the origin. Which of the following gives the x-coordinate of the rod’s center of mass? (A) (B) (C) (D)(E)

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5. A long, straight, hollow cylindrical wire with an inner radius R and an outer radius 2R carries a uniform current density. Which of the following graphs best represents the magnitude of the magnetic field as a function of the distance from the center of the wire? (A) (B) (C) (D) (E)送分

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6. The density of ice is 0.920 g/cm³ while that of sea water is 1.025 g/cm³ . What fraction of an iceberg is submerged?(A)0.898(B)0.927 (C) 0.976 (D) 1.087 (E) 1.114

7. A series RLC circuit, driven with a sinusoidal external emf with rms voltage 120 V, contains a resistance R = 200 Ω, an inductance L =1.0 H , and a capacitance C = 16 μF. What is the resonance frequency of this circuit? (A) 960 Hz (B) 1,600 Hz (C) 40 Hz (D) 6,400 Hz (E) 250 Hz

8. A star radiates uniformly in all directions. At a distance of 5.0 ✖ 10¹² m from the star, the intensity of the radiation from the star is 15 W / m₂. What is the total power output of the star? (A) 3.2✖10³⁸W (B) 4.7✖10²⁷W (C) 3.8✖10²⁶ W(D) 7.5✖10¹³W (E) 1.1✖10¹⁵W

9. The focal length of a camera lens is 20.0 cm. How far from the lens should the subject for the photo be if the lens is 20.5 cm from the film? (A) 8.20 m (B)4.10 m (C) 2.10 m (D) 6.30 m (E) 10.0 m

10. Two different samples have the same mass and temperature. Equal quantities of energy are absorbed as heat by each. Their final temperatures may be different because the samples have different: (A) thermal conductivities (B) coefficients of expansion (C) densities (D) volumes (E) heat capacities

11. A block whose mass m is 650 g is fastened to a spring whose spring constant k is 65 N/m. The block is pulled a distance x = 11 cm from its equilibrium position at x = 0 on a frictionless surface and released from rest at t = 0. What is the angular frequency of the resulting oscillation motion? (A) 8 rad/s (B) 9 rad/s (C) 10 rad/s (D) 11 rad/s (E) 12 rad/s .

12. The angular velocity vector of a spinning body points out of the page. If the angular acceleration vector points into the page then: (A) the body is slowing down (B) the body is speeding up (C) the body is starting to turn in the opposite direction (D) the axis of rotation is changing orientation (E) none of the above

13. A boy pulls a wooden box along a rough horizontal floor at constant speed by means of a force as shown. In the diagram f is the magnitude of the force of friction, N is the magnitude of the normal force, and Fg is the magnitude of the force of gravity. Which of the following must be true? (A) P = f and N = Fg (B) P = f and N ＞ Fg (C) P ＞ f and N ＜ Fg (D) P ＞ f and N = Fg (E) None of the above.

14. The inertia of a body tends to cause the body to: (A) speed up (B) slow down (C) resist any change in its motion (D) fall toward the Earth (E) decelerate due to friction

15. A thin-walled hollow tube rolls without sliding along the floor. The ratio of its translational kinetic energy to its rotational kinetic energy (about an axis through its center of mass) is: (A) 1 (B) 2 (C) 3 (D) 1/2 (E) 1/3

31. Two stationary tuning forks (350 and 352 Hz) are struck simultaneously. The resulting sound is observed to: (A) beat with a frequency of 2 beats/s (B) beat with a frequency of 351 beats/s (C) be loud but not beat (D) be Doppler shifted by 2 Hz (E) have a frequency of 702 Hz

32. Which of the following graphs represents the magnitude of the electric field as a function of the distance from the center of a solid charged conducting sphere of radius R? (A) (B) (C) (D) (E)

33. A resistor in a circuit dissipates energy at a rate of 1 W. If the voltage across the resistor is doubled, what will be the new rate of energy dissipation? (A) 0.25 W (B) 0.5 W (C) 1 W (D) 2 W (E) 4 W

34. Unpolarized light is incident on a pair of ideal linear polarizers whose transmission axes make an angle of 45° with each other. The transmitted light intensity through both polarizers is what percentage of the incident intensity? (A) 100% (B) 75% (C) 50% (D) 25% (E) 0%

35. The mass of α particle is 6.601✖10^-27 kg. If the α particle falls through the 100 kV potential difference, then the velocity of the α particle is: (e =1.602✖10^-19 C）(A)(B) (C) (D) (E)

36. What is the pressure on a swimmer 2 m below the surface of a swimming pool? (normal atmospheric pressure ) (A)(B) (C) (D) (E)

37. A wheel has a radius of 0.4 m and rotates at an angular velocity of 4 rad/s. A peg at the edge of the wheel is at the heighted point at t = 0. What is the period of the motion of the shadow? (A) 1.51 s (B) 1.57 s (C) 2.05 s (D) 2.36 s (E) 3.14 s

38. A solenoid has an inductance 75 mHand a winding resistance 0.50 Ω. If a battery is connected to the solenoid, how long will the current reach half its final equilibrium value? ( log2 = 0.301,ln 2 = 0.693 ) (A) 0.10 s (B) 45 ms (C) 4.6 s (D) 2.0 s (E) 26 ms

39. The electric potential in an xy plane is given byV . What is the magnitude of the electric field at the point (3.0 m, 2.0 m)? (A) 5.0 N /C (B) 6.0 N /C (C) 8.0 N /C (D) 10 N /C (E) 14 N /C

40. A cyclotron has a dee radius R and is operated at an oscillator frequency f in Hz. What is the magnitude of the magnetic field B needed for deuterons to be accelerated in the cyclotron? The mass of the deuteron is m in kilograms, f is in Hz, and B is in Tesla. (A) 2πmfR /q (B) 2πmf/ (Rq) (C) 2πmf /q (D) (E)

41. A 2.0 kg particle moves along an x axis, being pushed by a variable force directed along that axis. Its position is given by. What is the force on the particle at t = 2.0 s ? (A) (B) (C) (D) (E)

42. A 5.0 kg block of steel slides down a ramp with acceleration 0.40 m / s²directed down the ramp. The ramp makes an angle of o 37 with the horizontal. What is the coefficient of kinetic friction between the block and the ramp? (A) 0.50 (B) 0.70 (C) 0.25 (D) 0.75 (E) 5.0

43. A particle with position vector . What is the torque on the particle about the origin? (A) (B) (C) (D) (E)

44. A disk with a rotational inertia of 5.0 k.gm² rotates around its central axis while undergoing a torque given by . The disk’s angular momentum is 2.5kg m ²/sat time t =1.0 s. What is the disk’s angular momentum at t = 2.0 s ? (A) (B) (C) (D) (E)

45. A tank containing water to a height of 16.0 m also contains air above the water at a gauge pressure of 1.00 atm. Water flows out from the bottom through a small hole. What is the water’s speed? (A) 13 m / s (B) 19 m / s (C) 4.2 m / s (D) 23 m / s (E) 6.5 m / s

46. A sound wave from a sound generator radiates uniformly in all directions in 22.0 ℃air. The sound intensity level is 50 dB at a distance of 4.00 m from the sound generator. The frequency of the sound wave is 500 Hz. At what distance from the sound generator is the sound intensity level 30 dB? (A) 12.6 m (B) 40.0 m (C) 80.0 m (D) 6.67 m (E) 16.0 m

47. Coherent light with wavelength 0.40 μm passes through two very narrow slits. The distance between these two slits is 0.20 mm. The interference pattern is shown on a screen 5.0 m from the slits. What is the width of the central interference maximum? (A) 7.5 mm (B) 5.0 mm (C) 20 mm (D) 10 mm (E) 2.5 mm

48. A cup of tea is made with 0.250 kg of C o 85.0 water. Then, the cup of tea cools down to room temperature 20.0℃ . What is the entropy change of the water while it cools? (For water,) (A) 200 J / K (B) 230 J / K (C) 1050ln(1.22) J / K (D) 1050ln(0.818) J / K (E) 190 J / K

49. A Carnot engine operates between two temperatures TH and TC. It takes in 600 J of heat from high-temperature reservoir at T_H = 327℃ in each cycle and gives up 200 J to the low-temperature (TC) reservoir. What is the thermal efficiency of the cycle? (A) 67% (B) 33% (C) 75% (D)50%(E)25%

50. When a certain rubber band is stretched a distance x, it exerts a restoring force F = ax + bx² , where a and b are constants. The work done in stretching this rubber band from x = 0 to x = L is: (A) aL² + bLx³ (B) aL + 2bL² (C) a + 2bL (D) bL (E) aL²/2 + bL³ /3

51. The diagram shows a U-tube having cross-sectional area A and partially filled with oil of density . A solid cylinder, which fits the tube tightly but can slide without friction, is placed in the right arm. The system reaches equilibrium. The weight of the cylinder is: (A) ALρg (B) L ³ ρg (C) Aρ(L + h)g (D) Aρ(L – h)g (E) None of the above.

52. A solid brass ball of mass 0.280 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 14.0 cm, and the ball has radius r << R. What is h if the ball is on the verge of leaving the track when it reaches the top of the loop? (A) 47.8 cm (B) 27.8 cm (C) 57.8 cm (D) 37.8 cm (E) 78.3 cm

53. The emf E = 1.2 kV, C = 6.5 μF, R₁ = R₂ = R₃ = 0.73 MΩ. With C completely uncharged, switch S is suddenly closed (at t = 0). At t = 0, what is current i1 in resistor R₁? (A) 3.3✖10^-3 A (B) 3.3✖10^-4A (C) 1.1✖10^-4 A (D) 1.1✖10^-3 A (E) 2.2✖10^-3 A

54. The following shows a rod of length L = 10.0 cm that is forced to move at constant speed v = 5.00 m/s along horizontal rails. The rod, rails, and connecting strip at the right form a conducting loop. The rod has resistance 0.400 Ω; the rest of the loop has negligible resistance. A current i = 100 A through the long straight wire at distance a = 10.0 mm from the loop sets up a (nonuniform) magnetic field through the loop. Find the emf. (μ0 = 4π10-7 T  m/A, ln 2 = 0.693, ln 10 = 2.303, ln 11 = 2.398) (A) 2.4✖10^-4V (B) 5.8✖10^-3 V (C) 4.8✖10^-5V (D) 3.9✖10^-4 V (E) 8.8✖10^-4 V

55. If the five lenses shown below are made of the same material, which lens has the shortest positive focal length? (A) (B) (C) (D) (E)

56. For quantum model, E = hν = hc / λ, where E is photon energy in unit of eV, h is the Planck’s constant ( ), ν is the frequency (s ^-1 ), λ is the wavelength in meters (m), then E✖λ (eV m) is: (A) 1.24 ✖10^{- 3}(B) 1.24✖ 10^{- 4} (C) 1.24 ✖10^-5 (D) 1.24✖ 10^{- 6} (E) 1.24✖ 10^-7

57. A particle with mass m and charge q, moving with a velocity v, enters a region of uniform magnetic field B, as shown in the figure below. The particle strikes the wall at a distance d from the entrance slit. If the particle’s velocity stays the same but its charge-to-mass ratio is doubled, at what distance from the entrance slit will the particle strike the wall? (A) 2d (B) (C) d (D) (E)

58. The position of a particle moving on x-axis is given by x = , with x in meters and t in seconds. Which statement in the following is correct? (A) The particle is moving in the positive direction of x with a speed of 1.5m/s at t =1.0 s. (B) The acceleration of the particle at t = 1.0 s is -0.50 m / s ² . (C) The acceleration of the particle is constant. (D) The particle is moving in the negative direction of x with a speed of 0.50m/s at t =1.0 s. (E) The velocity of the particle is constant.

59. A wire loop of area 1000 cm ²has a resistance of 10 ohms. A magnetic field B normal to the loop initially has a magnitude of 0.1 T and is reduce to zero at a uniform rate in 10^-4 s. Thus, the resulting current is: (A) 10000 A (B) 1000 A (C) 100 A (D) 10 A (E) 1 A

60. A rod of semiconducting material with length L and cross-sectional area A lies along the x-axis between x = 0 and x = L . Its resistivity varies with x according to . The material obeys Ohm’s Law. What is the total resistance of the rod? (A)(B)(C)(D) (E)

106年 - 學士後西醫物理及化學106物理#77053

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