47. For a classical electromagnetic plane wave travelling in the x direction in a vacuum (with speed c), the electric field has the form = E₀ cos(kx - wt) (V/m). Which of the following statements is true?
(A) The magnetic field oscillates in the x direction with an amplitude | E₀l/c (T).
(B) The energy density of the electromagnetic wave is a constant everywhere in space.
(C) The radiation pressure due to the electromagnetic wave shinning on a wall does not depend on its frequency.
(D) The instantons power per unit area delivered by the electromagnetic wave is a constant.
(E) None of the above is correct.

43. For a monatomic ideal gas undergoing the following three consecutive thermodynamic processes. First, an isochoric process from (P0, V0) to (2P0, V0). Second, an adiabatic free expansion from (2P0, V0) to (P0, 2V0). Finally, an isobaric process from (P0, 2V0) to (P0, V0). Which of the following statements is true? (A) The entropy of the gas and the entropy of the surroundings increase. (B) The entropy of the gas increases during the isochoric process. (C) The entropy of the gas increases during the isobaric process. (D) The entropy of the gas increases after one cycle is unknown since the gas undergoes the adiabatic free expansion process. (E) None of the above is true.

44. According to the Drude model, the speed of charge carriers driven in conducting media can be described by the concept of drift velocity under a bias voltage. Also, charge carriers (say, electrons) are used to be treated as free particles like ideal gas molecules that are thermally agitated into random motion with an average velocity . In common situations, what the estimated ratio (in the order of magnitude) of would be? (A) or even more (B) around 105(C) about 1(D) around   (E) or even less

45. For a sound wave travelling in a cylinder along the x-direction, a snapshot of the displacement field of air molecules is shown in the following figure. At which marked position, the sound wave possesses the largest energy density? The wave equation of sound is (A) The sound wave at A, C, and E all possess the largest energy density. (B) Only at point A since its amplitude is the largest. (C) Only at point C since it has the largest curvature. (D) The sound wave at B and E possess the largest energy density. (E) Only at point D since it has the largest slope.

46. Gold (Au) and tin (Sn) wires are joined together at both ends. The length ratio of the Au and Sn wires is 1:3 and both wires have the same cross-sectional area. A potential difference of Vis applied to the free ends. The ratio of the conductivities of Au and Sn is 5:1 and the ratio of the free electron densities of Au and Sn is 5:2. Which of the following statements is correct? Au Sn (A) The resistance of Au and Sn wires has the relation = 1:6. (B) The voltage across of Au and Sn wires has the relation = 1:15. (C) The electric field in Au and Sn wires has the relation = 1:1. (D) The drift velocity of electrons in Au and Sn wires has the relation =1:5. (E) None of the above is correct.

48. A bar magnet approaches a conducting loop from the left with its north pole directed towards the loop. Considering the effect of electromagnetic induction, the induced current in the loop has the greatest magnitude and a clockwise direction ________.(A) as the north pole of the magnet approaches the loop (B) when the north pole has passed through the loop, but the south pole has not yet passed through (C) when the north pole has passed through and the south pole is about to pass through the loop (D) as the south pole of the magnet leaves the loop (E) after the south pole of the magnet is several centimeters to the right of the loop

49. Which of the following values is closest to the wavelength (nm) of a photon with energy 1.0 eV? h = 6.6 × m²kg/s; c = 3.0 × 108 m/s (A) 1 (B) 10 (C) 100 (D) 1000 (E) 10000

50. A parallel-plate capacitor has a capacitance of 100 pF, a plate area of 100 cm², and the space between the plates is completely filled with a mica dielectric (k =5.4). At a potential difference of 50 V, which of the following values is closest to the magnitude of the electric field E in the mica? (A) 1.0 × 10⁴ V/m (B) 1.0 × 10³ V/m (C)1.0 × 102 V/m (D) 1.0 × 10¹ V/m (E) 1.0 V/m

51. As shown in the figure on the right, a particle with charge Q is located at a small distance d above the center of a plane on a hemisphere of radius R. What is the electric flux through the circular face (of area πR²)  as δ → 0⁺? (A)-Q/ε0  (B)(C) 0(D)(E) Q/ε₀ 

52. As shown in the figure below, a uniform thin stick of mass M and length L is held vertically by two strings of negligible mass. What is the linear acceleration in the middle of the stick when one of the strings is cut? (Hint: The moment of inertia of the stick is I = ML²/3 for an axis through one end.) (A) 1.50 g (B) 1.0 g (C) 0.75 g (D) 0.50 g (E) 0.25 g

53. As shown in the figure below, particle 1 of mass m₁ is sliding to the right along the x-axis on a frictionless floor with velocity v₁. When it reaches x = 0, it undergoes a one-dimensional elastic collision with stationary particle 2 of mass m2. When particle 2 reaches the wall at , (＞0), it bounces off the wall  without losing velocity. What is the condition that (0 Xw particle 2 collides only twice with particle 1? (A) m2 ＜m1 (B) 1/3 ＜ m1/m2 ≤ 1 (C) 1/3 ≤ m1/m2 ≤1 (D) 1/3 ≤ m1/m2 ＜ 1 (E) None of the above.