12. The speed of light propagating in vacuum is equal to
(A)
(B)
(C)
(D)
(E) ∈_0μ0. 
Note that∈₀ is the electric constant and μ₀ is the magnetic constant.

13. A metal’s conductivity depends on temperature T. In classical physics, thermal speed describing the characteristic speed of the random motion of particles is proportional to . On the other hand, experiments show that resistivity is nearly proportional to (A) (B) 1/ (C) T (D) 1/T (E) T2 .

14. The nucleus of oxygen-17 has spin . How many possible orientations are there for its spin angular momentum vector? (A) 5 (B) 6 (C) 10 (D) 11 (E) 16

15. A 2 kg object is launched from the ground with an initial speed of 30 m/s at an angle of 30° above the horizontal. Neglecting air resistance, what is its kinetic energy when it reaches its maximum height? (A) 0 J (B) 225 J (C) 450 J (D) 675 J

16. A charged raindrop carrying 10 μC experiences an electric force of 0.3 N in the +x-direction. What is the electric field at its location? (A) 3 kN/C (B) 10 kN/C (C) 30 kN/C (D) 100 kN/C (E) None of the above.

17. A uniform rope of length L and mass M lies on a frictionless horizontal table. If a horizontal force F is applied to pull one end of the rope, what is the magnitude of the tension in the rope at a distance of L/3 from the pulled end? (A) F (B) 2F/3 (C) F/3 (D) F/2

18. A polar molecule may be modeled approximately as a positive charge ? at x = a and a negative charge −q at x = −a. If we calculate the electric field on the y-axis, what is an approximate expression valid at large distance ( |y| ≫ a )? Note that k is the Coulomb constant, and and are the unit vectors. (A)(B) (C) (D) (E)

19. In the figure, ?1, ?2, and ?3 are charges on a two-dimensional plane. We take . If the force on q1 points in the −x-direction, what is the magnitude of ?3? (A) Q (B) (C) (D) (E)

20. A force F = (3x² + 2x) N (where x is in meters) acts on an object along the x-axis. As the object moves from x = 0 to x = 2 m, how much work is done by this force on the object? (A) 10 J (B) 12 J (C) 14 J (D) 16 J

21. A U-shaped tube contains mercury (density 13.6 g/cm3 ). If a 13.6 cm column of water is poured into the left arm, what is the difference in height between the mercury levels in the two arms? (Assume the system reaches equilibrium) (A) The mercury level in the left arm is 12.6 cm higher. (B) The mercury level in the right arm is 1 cm higher. (C) The mercury level in the left arm is 1 cm higher. (D) The mercury levels in both arms are at the same height.

22. The potential difference across a cell membrane is 64 mV. On the outside are 4.0 × 106 singly ionized potassium atoms. Assuming an equal negative charge on the inside, what is the membrane’s capacitance? Note that one elementary charge is about 1.6 × 10−19 C. (A) 1 nF (B) 10 nF (C)100 nF (D) 1 pF (E) 10 pF.

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