51. Two people, A and B, each ofmass 70 kg, are inside an elevator. Person A stands on the floor, while person B hangs from a light rope attached to the ceiling. Let be the force exerted on A by the floor, and be the force exerted on B by the rope. Which of the following statements is correct?
(A)
(B)
(C)
(D)
(E)

52. A particle of extremely small mass m is confined in a one-dimensional infinite potential well (box) of width L. Its quantum mechanical nature must be taken into account. Which of the following statements is correct? (A) The ground state energy of the particle is zero. (B) The allowed wavenumbers depend on the particle's mass. (C) The allowed energy states of the particle are multiples of the ground state energy. (D) The allowed wavelengths of the particle are multiples ofthe wavelength of the ground state. (E) The allowed wavenumbers of the particle are multiples of the wavenumber ofthe3. A cylindrical tube of length 17.0 cm is closed at one end and open at the other.

53.Assuming the speed of sound in air is v = 340 m/s, what are the lowest two resonance frequencies of the tube? (A) 250 Hz and 500 Hz (B) 250 Hz and 750 Hz (C) 500 Hz and 1000 Hz (D) 500 Hz and 1500 Hz (E) 1000 Hz and 2000 Hz

54. A uniform rod of mass M and length L is pivoted at one end and allowed to swing freely under gravity. For small-angle oscillations, what is the period T of the motion? (Assume gravitational acceleration is g and neglect air resistance.)2L (A)(B)  (C) (D) (E)

55. Two copper wires are connected in parallel. Both wires have the same resistivity, p≈2.0 x 10-8 Ω•m. Wire A has length 200 m and cross-sectional area 1.0 mm². Wire B has length 300 m and cross-sectional area 0.5 mm². What is the equivalent resistance of the two-wire combination? (A) 2.0 Ω(B) 3.0Ω (C) 4.0Ω(D) 8.0 Ω (E) 12.0Ω

56. A soap film (refractive index of n≈ 1.35) is surrounded by air and illuminated by normally incident monochromatic light of wavelength 540 nm (in air). What is the minimum film thickness required to produce constructive interference in the reflected light? (A) 50 nm (B) 75 nm (C) 100 nm (D) 200 nm (E) 300 nm

57. An electric kettle with resistance 12 Ωis connected to a 110 V (rms), 60 Hz AC power supply. The kettle is used to heat 1.0 L of water. Assuming all electrical energy is converted into heat, approximately how long will it take to raise the water temperature by 1 °C? The specific heat of water is about 4.2(A) about 2 s (B) about 4 s (C) about 6s (D) about 8 s (E) about 10 s

58. An elevator starts from rest and accelerates upward with constant acceleration a = 2g. A small ball is released from rest relative to the elevator at a height h above the floor. The ball then falls and strikes the floor. What is the speed of the ball just before it hits the floor, as measured in the ground frame? (A) (B) (C) (D)(E)

59. Eight resistors of equal length, each of resistance R, are connected along the edges of a regular square pyramid: four resistors form the square base, and four resistors connect each base vertex to the apex as shown below. What is the equivalent resistance between point A and B of the square base? (A) (B) (C) R (D)(E) 2R

60. A microscope has an objective lens with an aperture diameter of 2.6 mm and a focal length of 5.0 mm. The sample is illuminated with monochromatic light of wavelength 520 nm. Considering the diffraction limit, which of the following is closest to the minimum resolvable distance between two points? (A) 0.4 µm (B) 0.5 µm (C) 0.8 µm (D) 1.2 µm (E) 2.0 µµm

1. A policewoman crouched inside a boxlike vehicle_________ the area looking for cars parked illegally, for meter violations, lapsed inspection stickers. (A) spares (B) conducts (C) patrols (D) bickers (E) remits

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