10. A spaceship approaches the earth with a speed 0.50c. A passenger in the spaceship measures his heartbeat as 70 beats per minute. What is his heartbeat rate (beats per minute) according to an observer that is at rest relative to the earth?
(A) 69,
(B) 73,
(C)80,
(D) 65,
(E) 61.

11. A heat engine performs the reversible cycle abca with 9.0 moles of an ideal gas, as shown in the figure. Path ca is an adiabatic process. The temperatures at points a and b are 300 K and 500 K, respectively. The volume at point c is 0.20 m3. The adiabatic constant of the gas is 1.60. The thermal efficiency of this engine is closest to (A)0.13, (B) 0.10, (C) 0.16, (D) 0.07, (E) 0.19.

12. A cylinder contains 1.2 moles of ideal gas, initially at a temperature of 116℃. The cylinder is provided with a frictionless piston, which maintains a constant pressure of 6.4 x 105 Pa on the gas. The gas is cooled until its temperature has decreased to 27℃. For the gas Cy= 11.65 J/molㆍK, and the ideal gas constant R = 8.314 J/mol.K. (A) The work done by the gas during this process is 890 J. (B) The work done on the gas during this process is 890 J. (C) The change in the internal (thermal) energy of the gas during this process is +1200 J. (D) The heat transferred from the gas during this process is -1200 J. (E) The heat transferred to the gas during this process is +2100 J.

13. A certain particle's energy is measured by a detector to within 1.0 x 10-18 J. What is the minimum uncertainty we can have in its arrival time at the detector? ( Plank constant, h= 6.626 x 10-34Jㆍs) (A) 1.1 x 10-12s, (B) 1.1 x 10-16s, (C) 1.1 x 10-15s, (D) 1.1 x 10-13s, (E) 1.1 x 10-14s.

14. The wave function for a particle must be normalizable because (A) the particle must be somewhere. (B) the particle's angular momentum must be conserved. (C) the particle's charge must be conserved. (D) the particle's momentum must be conserved. (E) the particle cannot be in two places at the same time.

15. In the circuit shown in the figure, the capacitors are initially uncharged. The switch is first thrown to position A and kept there for a long time. It is then thrown to position B. Let the charges on the capacitors be Q1, Q2, and Q3 and the potential differences across them be V1, V2, and V3. Which of the following conditions must be true with the switch in position B?(A) Q1=Q2=Q3,(B) V2=V2=V3,(C)V1+V2=V3,(D) Q1+Q2 =Q3, (E) V3 =V0

16. Two long conducting cylindrical shells are coaxial and have radii of 20 mm and 80 mm. The electric potential of the inner conductor, with respect to the outer conductor, is +600 V. What is the maximum electric field magnitude between the cylinders? (k = 1/4πεo = 8.99 x 109Nㆍm2/C2) (A) 22,000 V/m, (B) 18,000 V/m, (C) 10,000 V/m, (D) 14,000 V/m, (E) 26,000 VIm.

17. In a certain region, the electric potential due to a charge distribution is given by the equation V(x.y) = 2xy - x2 - y, where x and y are measured in meters and V is in volts. At which point is the electric field equal to zero? (A) x=0.5 m,y=0.5 m (B) x=0m,y=0m (C) x=1m,y=1m (D) x=0.5 m,y=1 m (E) x=1m,y=0.5m

18. A long straight very thin wire on the y-axis carries a 10-A current in the positive y-direction. A circular loop 0.50 m in radius, also of very thin wire and lying in the yz-plane, carries a 9.0-A current, as shown. Point P is on the positive x-axis, at a distance of 0.50 m from the center of the loop. What is the magnetic field vector at point P due to these two currents? (μ0 =4πx 10-7 T m/A) (A) zero (B) -8.0 x10-6Tk (C)(+4.0x10-6T)i- (4.0 x10-6T)k (D) (-8.0x10-6T)i - (8.0 x 10-6T)k (E)(-4.0x10-6T)i-(4.0 x10-6T)k

19. Wire is wound on a square frame, 30 cm by 30 cm, to form a coil of 7 turns. The frame is mounted on a horizontal shaft through its center (perpendicular to the plane of the diagram), as shown in the figure. The coil is in clockwise rotation, with a period of 0.060 s. A uniform, horizontal, magnetic field of magnitude 0.40 T is present. At a given instant, the plane of the coil forms a 60° angle with the horizontal, as shown. At that instant, what is the magnitude of the emf induced in the coil? (A) 2.1 V,(B) 23 V, (C) 26 V, (D) 3.6 V, (E) 13 V.

20. An LRC series circuit has R = 15.0 Ω, L = 25.0 mH, and C = 30.0 μF. The circuit is connected to a 120-V (rms) ac source with frequency 200 Hz. (A) The impedance of the circuit is 163 Ω, (B) The rms current in the circuit is 7.16 A, (C) The rms voltage across the resistor is 110V, (D) The rms voltage across the inductor is 239 V, (E) The rms voltage across the capacitor is 123 V

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