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113年 - 113 國立中興大學_學士後醫學系招生考試_學士後醫學系：物理#119346

科目：學士後西醫-物理 | 年份：113年 | 選擇題數：50 | 申論題數：0

試卷資訊

所屬科目：學士後西醫-物理

選擇題 (50)

1.Cart A, of mass m, starts from rest and travels in a straight line with acceleration a. It traverses a ance x in time t. Cart B, of mass 4m, starts from rest and travels in a straight Iine with acceleration a/2. At time t it has traversed the distance (A) x/4 (B) x/2 (C) x (D) 2x (E) 4x
2. An automobile traveling along a straight road increases its speed from 30.0 m/s to 50.0 m/s in a nce of 180 m. If the acceleration is constant, how much time elapses while the au distance? (A) 6.00 s (B) 4.50 s (C) 3.60 s (D) 4.00 s (E) 9.00 s

3. A particle moves in the xy plane with a constant acceleration given by a = -m/s2. At t = 0, its position and velocity are m/s, respectively. Here, t and j are unit vectors ng x and y directions, respectively. What is the distance from the origin to the pa 2.0 s? (A) 6.4 m (B) 10 m (C) 8.9 m (D) 2.0 m (E) 6.2 m

4. Two balls, projected at different times so they don't collide, have trajectories A and B, as shown ow. Ignore the air resistance and friction. Which of the following is necessarily true? (A) The initial velocity of ball B is greater than that of ball A. (B) The initial velocity of ball A is than that of ball B. (C) Ball A is in the air for a longer time than ball B. (D) B for a longer time than ball A.(E) Ball B has a greater acceleration th

5. lf M= 6.0kg, what is the tension in string 2? Note that the acceleration due to gravity g=9.8m/s2.

(A) 39 N (B) 35 N (C) 29 N(D) 44 N
(E) 51 N

6.The horizontal surface on which the objects slide is frictionless. If M = 1.0 kg and the magnit rce of the small block on the large block is 5.2 N, determine F. (A) 6.0 N (B) 9.0N (C)4.8N(D)4.1N(E)7.8 N

7.The total force needed to drag a box at constant speed across a surface with coefficient of kinetic friction μ is least when the force  is applied at an angle θ such that (A) sinθ = μ(B) cosθ=μ(C) tan θ=μ(D) cotθ=μ(E) secθ =μ
8. Arace car traveling at 100 m/s enters an unbanked turn of 400 m radius. The coeffic ion between the tires and the track is 1 .1. The track has both an inner and an outer statement is correct? (A) The race car will crash into the outer wall. (B) The race car will crash into the inner wall. (C) The car will stay in the center of the track. (D) The car will stay in the er of the track if the driver speeds up. (E) The car would stay in the center of the radius were reduced to 200 m.
9.A certain pendulum consists of a 1.5-kg mass swinging at the end of a string (length=2.0m).At the lowest   point in the swing the tension in the string is equal to 20 N. To what maximur e this lowest point will the mass rise during its oscillation? Note that the accele gravity g = 9.8 m/s2. (A) 77 cm (B) 50 cm (C) 63 cm (D) 36 cm (E) 95 cm

10. Two equal masses are raised at constant velocity by ropes that run over pulleys, as shown below. B is raised twice as fast as mass A. The magnitudes of the forces exerted by masses A and B are, respectively, FA and FB, while the power supplied for each is PA and PB. Which statement is correct? (A) FB =FA；PB=PA.(B) FB = FA； PB=2 PA.(C) FB=2 FA；PB=PA. (D) FB = 2 FA； PB = 2 PA. (E) PA = FA； PB = FB.
11.A ball of mass mB is released from rest and acquires velocity of magnitude vB befor d. The ratio of the kinetic energy the Earth acquires to the kinetic energy the ball (A)0(B) (mB；/mE)2 (C)mB/mE (D) 1(E)mE/mB
12.A wheel rotating about a fixed axis with a constant angular acceleration of 2.0 rad/s2 turns through  2.4 revolutions during a 2.0-s time interval. What is the angular velocity at the end of this time interval? (A) 9.5 rad/s (B) 8.5 rad/s (C) 8.0 rad/s (D) 10.2 rad/s (E) 12.3 rad/s

13. A uniform cylinder of radius R, mass M, and length L rotates freely about a horizontal axis pa o the cylinder, as shown below. The moment of inertia of the cylinder about this axis is  (A)(B) (C)MR2(D)(E)
14.A body of mass 5.0 kg is suspended by a spring which stretches 10 cm when the mass is att displaced downward an additional 5.0 cm and released. Note that the accele g = 9.8 m/s2. Its position as a function of time is approximately (A)-0.10 sin 9.9t m (B)-0.10 cos 4.9t m(C) -0.05 cos 4.9t m (D) -0.05 sin 4.9t m(E) -0.05 cos 9.9t m.

15. The motion of a particle connected to a spring is described by x = 10 sin πt. At what time (in s) is the potential energy equal to the kinetic energy? (A) 0 (B) 0.25 (C) 0.5 (D) 0.86 (E) 1.0
16. Bats can detect small objects such as insects that are of a size on the order of a waveleng a chirp at a frequency of 60 kHz and the speed of soundwaves in air is 330 m/s smallest size insect they can detect? (A) 1.5 mm (B) 3.5 mm (C) 5.5 mm (D) 7.5 mm (E) 9.8 mm
17. If y=0.2 sin(30x-400t) (SI units), the velocity of the wave is (A)3/40 (m/s) (B) 40π/3 (C) 60π/400 (m/s)(D) 400/60π (m/s)(E) 40/3 (m/s)
18.An organ pipe open at both ends is 1.5 m long. A second organ pipe that is closed a at the other is 0.75 m long. The speed of sound in the room is 330 m/s. Which of sets of frequencies consists of frequencies which can be produced by both pipes? (A) 110 Hz, 220 Hz, 330 Hz. (B) 220 Hz, 440 Hz, 660 Hz. (C) 110 Hz, 330 Hz, 550 Hz. (D) 330 Hz, 660 Hz, 990 Hz.. . (E) 330 Hz, 440 Hz, 550 Hz.
19. Two harmonic waves traveling in opposite directions interfere to produce a standing wave cribed by y = 2 sin 4x cos(3t) where x is in m and t is in s. What is the speed (in n interfering waves?(A)0.75(B)0.25(C)1.33(D) 12(E)3.0
20. A hydraulic lift raises a 2000-kg automobile when a 500-N force is applied to the smaller piston. If the smaller piston has an area of 10 cm2, what is the cross-sectional area of the larger piston? Note that the acceleration due to gravity g = 9.8 m/s2. (A) 40 cm2 (B) 80 cm2 (C) 196 cm2 (D) 392 cm2 (E) 160 cm2
21. People can snorkel down to a depth of roughly one meter. This means that the additional pressure on the air in their lungs is roughly (A) 9800 N (B) 9800 Pa (C) 9800 atm (D) 19600 N(E) 19600
22. Consider a thin horizontal layer of the atmosphere, of thickness dy, of area A, with pressure P at the om. This layer contains ny molecules per unit volume with an average mass m p and is under the influence of gravity with gravitational acceleration g. What is the magnitude, dP, of the pressure difference between the top and bottom of the layer? (A) mgdy. (B) mgnydy. (C) mgAdy.(D) mgnvAdy.(E)mgnvAPdy.

23. A gas expands from A to B as shown in the graph. Calculate the work (in joules) done by the gas. (1 atm = 1.01 x 105 N/m2. ) (A) 12 (B) 24 (C) 1.21✖106 (D) 2.42 ✖ 106 (E) 3.64 ✖106 
24. A heat pump has a coefficient of performance of 4. If the heat pump absorbs 20 cal of cold outdoors in each cycle, the heat expelled (in cal) to the warm indoors is about (A) 14 (B) 27 (C) 40(D) 48(E) 77
25. Consider n moles of an ideal gas being compressed isothermally at absolute temperature T from an initial volume V1 to a final volume V2. The R and ke are, respectively, universal gas constant and Boltzmann constant. What is the change in entropy? (A) nR In (V2/V1) (B) nRT ln (V2/V1) (C) nkB In (V2/V1) (D) nkBT In (V2/V1) (E) nkB (V2-V1.)

26.A charge per unit length given by λ(x) = bx, where b = 12 nC/m2, is distributed along the  x axis from x = +9.0 cm to x = +16 cm. If the electric potential at infinity is taken to be zero, what is the electric potential at the point P on the y axis at y= 12 cm? (A)5.4 V (B)7.2 V (C)9.0 V (D)12.2 V(E)16.0 V
27. Light of wavelength 580 nm is incident on a slit having a width of 0.300 mm. The viewing scr 2.00 m from the slit. Find the width of the central bright fringe. (A) 3.2mm (B) 5.0mm (C) 7.7mm (D) 9.2mm (E) 11.3mm
28. For a long ideal solenoid having a circular cross-section, the magnetic field strength within the solenoid is given by the equation B(t) = 5.0t[T], where t is time in seconds. If the induced electric field outside the solenoid is 1.1 V/m at a distance of 2.0 m from the axis of the solenoid, find the radius of the solenoid. (A) 30.2m (B) 15.4m (C) 6.4m (D) 2.4m (E) 0.9m
29. You are designing a generator to have a maximum enf of 8.0 V. If the generator coil has 200 turns and a cross-sectional area of 0.030 m2, what should be the frequency of the generator in a uniform magnetic field of 0.030 T? (A) 7.1 Hz (B) 8.4 Hz (C) 9.7 Hz (D) 10.6 Hz (E) 12.6 Hz

30. A neutron has a mass of 1.67 ✖ 10-27 kg. Its de Broglie wavelength is 1.4 ✖10-10 m. What is its kinetic energy (h=6.626 ✖10-34m2kg/s) ? (A) 40 eV (B) 4 eV (C) 0.4 eV (D) 0.04 eV (E) 0.004 eV
31. What is the quantum number n of a particle of mass m confined to a one-dimensional box of length L when its momentum is 4h/L? (A) 1 (B) 2 (C)4 (D) 8 (E) 16

32. A conducting circular loop is placed in a uniform magnetic field of 0.04 T with its plane endicular to the magnetic field. The radius of the loop starts shrinking at 2 mm/s. emf in the loop when the radius is 2 cm is (A) 0.8π μV(B) 1.2π μV (C) 1.6π μV (D) 2.4π μV (E) 3.2π μV

33. An alternating current is supplied to an electronic component with a warning that the voltage across it should never exceed 12V. What is the highest rms voltage that can be supplied to this component while staying below the voltage limit in the warning? (A) (B) (C) 12V (D) 6 V (E) 24V

34. An ac circuit is shown in the figure. The rms current in the circuit is measured to be 1.8 A. What is the capacitance of the capacitor?

(A)11 μF (B) 17μF (C) 23 μF (D) 29 μF (E) 35 μF

35. Two flat 4.0cm ✖ 4.0cm electrodes carrying equal but opposite charges are spaced 2.0 mm apart with their midpoints opposite each other. Between the electrodes but not near their edges, the electric field strength is 106 N/C. What is the magnitude of the xc= 100Q charge on each electrode? (ε0 = 8.85✖10-12 F/m) (A) 4 nC (B) 10 nC (C) 14 nC (D) 20 nC (E) 24 nc

36. Which one of the phasor diagrams shown below best represents a series LRC circuit driven at resonance? (A)1(B)2(C)3(D) 4 (E) 5
37. A solid nonconducting sphere of radius R carries a uniform charge density throughout its volume. ial distance r1= R/4 from the center, the electric field has a magnitude E0. magnitude of the electric field at a radial distance r2 = 2R ? (A) E0/8 (B) E0/4 (C) E0/2 (D)E0(E)2E0

38. Which of the following expressions is a static electric field (A)=(2xy,-2yz,-y2)(B)=(2z,-2yz,-x2)(C)=(2x,-2yz,-y2) (D)=(yz,yz,yz)(E)=(2xy-3,2x2,0)

39. The coil shown in the figure has 2 turns, a cross-sectional area of 0.20 m2, and a field (parallel to the axis of the coil) with a magnitude given by B = (4.0 + 3.0t2) I, where t is in s. What is the potential difference, VA - Vc, at t = 3.0 s (A) +7.2V (B) -7.2V (C) +4.8V (D) -4.8V (E) -12.0V M
40. A fish appears to be 2.00 m below the surface of a pond when viewed almost directly above by a fisherman. What is the actual depth of the fish? (nwater = 1.33) (A) 1.33 m (B) 0.38 m (C) 4.12 m (D) 3.02 m (E) 2.66 m

41. As shown in the figure, point charges q and Q are positioned as shown. Ifq = +2.0 nC, Q = -2.0 nC, a = 3.0 m, and b = 4.0 m, what is the electric potential difference, VA - VB? (A) 2.4V (B) 4.8V (C) 6.0V (D) 7.2V (E) 8.4V
42. In a transformer, how many turns are necessary in a 110V primary if the 24V secondary has 100 turns? (A) 458 (B) 240 (C) 110 (D) 22 (E) 4

43. Charge of uniform density (20 nC/m2) is distributed over a cylindrical surface (radius = 1.0 cm), and a second coaxial surface (radius = 3.0 cm) carries a uniform charge density of -12 nC/m2. Determine the magnitude of the electric field at a point 4.0 cm from the symmetry axis of the two surfaces (ε0 = 8.85✖10-12 F/m) (A) 0.23 KN/C (B) 1.1 KN/C (C) 1.7 kN/C (D) 0.45 KN/C (E) 0.1 KN/C

44. Light of wavelength 400 nm falls on a metal surface having a work function 1.70 eV. W inetic energy of the photoelectrons emitted from the metal? (c = 3.00×108 m/s， h=6.626✖10-34m2kg/s,leV=1.60✖10-19J) (A) 4.5 eV (B) 3.1 ev (C) 1.4 eV (D) 2.2 eV (E) 1.0 eV

45. Consider: radio waves (r), visible light (v), infra-red (i), x-rays (x), ultraviolet (u). In order of increasing frequency, they are: (A) r, v, i, x, u (B) r, i, v, u, x (C) i, r, v, u, x (D) i, v, t, u, x (E)r, i, v, x, u

46. As shown in the figure, a small particle of charge q= -7.0 x10-6 C and mass m=3.1 x10-12 kg has velocity v=9.4 x103 m/s as it enters a region of uniform magnetic field. The particle is observed to travel in the semicircular path shown, with radius R = 5.0 cm. Calculate the magnitude of the magnetic field in the region. (A) 0.26T (B) 0.20T (C) 0.14T (D) 0.08T (E) 0.02T

47. A hydrogen atom in the 4f state has a total angular momentum (in terms of h) of magnitude (A)(B) (C)(D)(E)
48.What is the energy of an incident photon that is just enough to excite a hydrogen ground state to its n = 4 state? (A) 0.85 eV (B) 2.40 ev (C) 3.40 ev(D)10.20 eV  (E) 12.75 eV

49. Three long wires parallel to the x axis carry currents as shown. If I = 20 A, what is the magnitude of the magnetic field at the origin? (A)10μT (B) 19μT (C) 28μT (D) 37μT (E) 52μT
50. A mall bulb is rated at 7.50 W when operated at 125 V. The
tungsten filament has a temperature coefficient of resistivity a = 4.50 x 10-3/ ℃. Wher is hot and glowing, its temperature is seven times room temperature (20 ℃). What is the resistance of the filament (in ohms) at room temperature? (A) 240(B)1350(C) 2080 (D) 4530 (E) 5630

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