7. Two uniform cylinders have different masses and different rotational inertias. They simultaneously start from rest at the top of an inclined plane and roll without sliding down the plane. The cylinder that gets to the bottom first is:
(A) the one with the larger mass
(B) the one with the smaller mass
(C) the one with the larger rotational inertia
(D) the one with the smaller rotational inertia
(E) neither (they arrive together).

8. A meter stick is pivoted at a point a distance a from its center and swings as a physical pendulum. Of the following values for a, which results in the shortest period of oscillation? (A) a = 0.5 m (B) a = 0.3 m (C) a = 0.2 m (D) a = 0.1 m (E) a = 0 m.

9. A quantity of an ideal gas is compressed to half its initial volume. The process may be adiabatic, isothermal or isobaric. Rank those three processes in order of the work required of an external agent, least to greatest. (A) adiabatic, isothermal, isobaric (B) adiabatic, isobaric, isothermal (C) isothermal, adiabatic, isobaric (D) isobaric, adiabatic, isothermal (E) isobaric, isothermal, adiabatic.

10. For all reversible processes involving a system and its environment: (A) the entropy of the system does not change. (B) the entropy of the system increases. (C) the total entropy of the system and its environment does not change. (D) the total entropy of the system and its environment increases. (E) none of the above (the provided information is not enough).

11. The figure shows two charged particles (q₁ = +6e, q2 = -2e) that are fixed in place and separated by distance d = 1.50 m. At what x coordinate (m) can a third charged particle be placed such that the net force on the third particle is zero?  (A) 0.35 (B) -3.96 (C) 3.55 (D) -0.54 (E) 7.10.

12. The figure shows six charged rods. Some have the same sign charge throughout and are uniformly charged. The rest have one sign on one half and the opposite sign on the other half, with each half uniformly charged. For each rod, a point P on a perpendicular bisector is indicated. In which situation is the net electric field at P in the positive direction of the y axis?(A) 2 and 5, (B) 2 and 6, (C) 4 and 5, (D) 1 and 4, (E) 3 and 5.

13.The figure shows a Gaussian rectangular structure with sides parallel to the axes and in the electric field =(3.00x+2.00)+4.00+14.0N/C. What is the charge ( C ) enclosed by the structure?  (A) 7.91×10-11, (B) 9.56×10-10, (C) 2.66×10-9, (D) 0, (E) 3.72×10-8. 

14. The figure shows three graphs of how a potential varies along an x axis. V₁ = -200 V, x₁ = 0.20 m； V2 = 400 V, x2 = 0.40 m； V3 = 300 V, x3 = 0.30 m. Rank the situations according to the magnitude of the electric field along the axis. (A) 1=2=3, (B) 2＞3＞1, (C) 3＞1＞2, (D) 3＞1=2, (E) 1＞2＞3. 

15. The figure shows a battery (30.0 V) and three (uncharged capacitors): C₁=12.0 µF, C2= 4.00 μF, C3=6.00 µF. The switch is first thrown to the left to charge C₁. Then the switch is thrown to the right to transfer charge to C2 and C3. When equilibrium is reached, what is the energy (J) stored in C₁? (A) 3.75×10-3, (B) 2.52×10-6, (C) 5.89×10-5, (D) 9.60×10-2, (E) 1.04×10-4. 

16. The figure shows an array of identical real batteries, each with emf 0.050 V and internal resistance 0.20 ohm. There are 400 branches, each with 200 batteries. What is the current ( A ) through the external resistor, which has resistance R = 0.40 Ω? (A) 2.5, (B) 5.6, (C) 20, (D) 12, (E) 58. 

17. The first figure shows a closed loop with current i. The loop consists of a half-circle of radius r and a half circle of radius R = 2r. The second figure shows the same half-circles but the small one has been flipped over. The net magnetic field at the common center of the circular sections is B₁ for the first figure and B2 for the second figure. What is the magnitude of the ratio B2 / B1?(A) 0.75, (B) 3.0, (C) 0.10, (D) 1.5, (E) 5.0.

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