10. If the period of a simple pendulum on Earth is T what would be the period of the same pendulum on the Moon, where the gravitational acceleration is 1/6 of that on Earth?
(A) √6T
(B) √3T
(C) T
(D) T/√3
(E) T/√6

11. Two spherical shells, A and B, surround an isolated charged point particle. Given that the radius of shell A is twice that of the radius of shell B, what is the ratio between the electric flux through shell A and the electric flux through shell B? (A) 4 (B) 2 (C) 1 (D) 1/2 (E) 1/4

12. A thin hoop rolls without sliding on a level surface (see Fig. 2). What is the ratio between the rotational energy and the translational energy? (A) 2 (B) √2 (C) 1 (D) 1/√2 (E) 1/2

13. A combination of pulleys is shown in Fig. 3, where a weight of mass m₁ is hung on the leftmost pulley, and a weight of mass m₂ is attached to the right end of the string. What is m₂ in terms of m₁ so that the system is in equilibrium? (A) m₁ (B) m₁/2 (C) m₁/3 (D) m1/8 (E) m₁/16

14. The heat capacities of objects A, B, and Care , respectively. If the temperatures of objects A, B, and C are 60°C, 30°C, and 20°C, what is the equilibrium temperature after objects A, B, and C are in touch? (A) 30°C (B) 35°C (C) 40°C (D) 45°C (E) 50°C

15. About two-thirds of a solid wooden ball of density 0.53 g/ml is floating in an unknown liquid. Which of the following liquids could be the unknown liquid? (A) Ethyl alcohol (density 7.89 × 102 kg/m³) (B) Water (density 1.00 × 103 kg/m³) (C) Mercury (density 1.36 × 104 kg/m³) (D) Hexane (density 6.54 × 102 kg/m³) (E) Olive oil (density 9.11 × 102 kg/m³)

16. A rocket weighs 1.7 × 106 kg, where 80% of it is the fuel, and exhausts fuel with a relative speed of 2000 m/s. If the rocket is initially at rest in space, what is its speed after consuming all the fuel? (A) 1.0 × 104 m/s (B) 2.5 × 103 m/s (C) 3.2 x 103 m/s (D) 1.6 × 103 m/s (E) 4.0 × 102 m/s

17. A coil with a constant cross-section is moving with velocity in a constant and uniform magnetic field . What is the voltage in the coil generated by the magnet? (A)(B) (C) 0 (D)(E)

18. How much work is done by an ideal gas in an isothermal expansion from volume ? (Let n be the amount of the gas, R be the gas constant, and T be the absolute temperature.) (A) (B)(C)(D)(E)

19. A block of mass m₁ is stacked on top of another block of mass m2 and attached via a massless string (see Fig. 4). The coefficient of static friction between the blocks is µg, and the coefficient of static friction between the block and the surface is us. The pullies are massless and frictionless. What is the maximal mass W of a weight attached to the bottom block that still makes the system stationary? (A)(B) (C)(D)(E)

20. After heating a metal annular disc with inner radius r and outer radius r0 (see Fig. 5), which of the following statements is not true? (A) The outer radius r0 increases. (B) The inner radius rĄ increases. (C) The total area of the annular disc increases. (D) The width w, where w = , of the annular disc remains the same. (E) The sum of the areas of the annular disc and the hole increases.

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