33. The circuit in the figure extends forever to the right, and all the resistors have the same value ?. What is the equivalent resistance measured across the two terminals at left? Note that ≈ 1.414, ≈ 1.732, ≈ 2.236, and≈ 2.646.
(A) 1.57 ?
(B) 1.62 ?
(C) 1.67 ?
(D) 1.72 ?
(E) 1.77 ?

34. What is the function of the circuit in the figure if we focus on the voltage change across the resistor? Assume the RC time constant is large enough in the case. (A) As a step-up transformer (B) As a step-down transformer (C) As a DC power supply (D) As an AC power supply (E) As a photodiode

35. Phasor diagrams summarize phase and amplitude relations among passive components in AC circuits. A phasor is an arrow whose length represents the amplitude of an AC voltage or current, rotating counterclockwise with the angular frequency ω of the AC quantity. The phasor’s component on either axis represents the sinusoidally varying AC quantity. The figure shows the phasor diagram for an RLC circuit. Note that VRp is the peak value of the voltage across the resistor, VCp is the peak value of the voltage across the capacitor, and VLp is the peak value of the voltage across the inductor. About this RLC circuit, which of the following statement is correct? (A) The driving frequency is above resonance. (B) The driving frequency is about resonance. (C) The driving frequency is below resonance. (D) The driving frequency varies. (E) The driving frequency is dominantly determined by V?p.

36. A solid spher of radius ? carries a uniform volume charge density ?. A hole of radius R/2 occupies a region from the center to the edge of the sphere, as shown in the figure. Whate is the electric field everywhere in the hole? Note that ∈0is the electric constant.(A) ρR/2∈0 (B) ρR/3∈0 (C) ρR/4∈0 (D) ρR/5∈0 (E)ρR/6∈0

37. A container filled with water rests on a horizontal floor. If the container moves to the right with a constant acceleration a, the water surface will tilt. Given the acceleration due to gravity is g, which of the following equations is satisfied by the angle θ between the water surface and the horizontal? (A) sin θ = a/g (B) cos θ = a/g (C) tan θ = a/g (D) tan θ = g/a

38. An object of density ρ and volume V is suspended from a spring scale and completely submerged in a liquid of density ρL (ρ ＞ ρL). If the container is placed in an elevator accelerating vertically upward with an acceleration a, what is the reading on the spring scale? (A) V(ρ - ρL)(g + a) (B) V(ρ - ρL)g + Vρa (C) V(ρ + ρL)(g + a) (D) V(ρ - ρL)(g - a)

39. On a thermodynamic P-V (pressure-volume) diagram, comparing the slope of the curve for an adiabatic process to that of an isothermal process (assuming the gas expands), which of the following is correct? (A) The adiabatic curve is steeper (has a greater absolute slope). (B) The isothermal curve is steeper (has a greater absolute slope). (C) The slopes are the same. (D) It depends on the type of gas.

40. An ideal gas undergoes a Carnot cycle. If the volume of the gas doubles during the isothermal expansion, how does the magnitude of the work done on the gas during the isothermal compression compare to the magnitude of the work done by the gas during the isothermal expansion? (A) The work of compression is greater. (B) The work of expansion is greater. (C) Both are equal. (D) It depends on the temperature ratio of the high- and low-temperature reservoirs.

41. One mole of a monatomic ideal gas is mixed with one mole of a diatomic ideal gas. Assuming no chemical reaction occurs and they reach thermal equilibrium, what is the molar specific heat at constant volume of this gas mixture? (assume R is the ideal gas constant) (A) 1.5 R (B) 2.0 R (C) 2.5 R (D) 3.5 R

42. The current density in a particle beam with circular cross section of radius a points along the beam axis with a magnitude that decreases linearly from J0 at the center (r = 0) to half that value at the edge (r = a). What is the total current in the beam? (A) (B) (C) (D)(E)

43. A disk of radius a carries uniform surface charge density σand rotates with angular speed ω about the disk axis. What is the magnetic field at the disk center? (μ0 is the magnetic constant.) (A) μ0σωa (B)μ0πσa2 (C) μ0πσa2(D) μ0σωa2(E) μ0σωa

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