15. Two long solenoids (radii 20 mm and 30 mm respectively) carry the same amount of current. The smaller solenoid is mounted inside the larger, along a common axis. It is observed that there is zero magnetic field within the inner solenoid. Therefore, the inner solenoid must have X times as many turns per length as the outer solenoid where X is:
(A) 4/9
(B) 2/3
(C) 3/2
(D) 1
(E) 9/4.

11. Two large parallel conducting plates are separated by a distance d, placed in a vacuum, and connected to a source of potential difference V. A "doubly charged" oxygen ion starts from rest on the surface of one plate and accelerates to the other. If e denotes the electron charge, the final kinetic energy of this ion is: (A) 2 eV (B) eV/d (C) eVd (D) Vd/e (E) eV/2.

12. A 7 µF and a 3 µF capacitor are each charged to a potential difference of 100 V. The positive terminal of the 3 µF capacitor is then connected to the negative terminal of the 7 µF capacitor and the negative terminal of the 3 µF capacitor is connected to the positive terminal of 7 µF capacitor. What total energy is now stored on the two-capacitor system? Answer in J. (A) 0 (B) 1.6 × 10-2 (C) 8.0 × 10-3 (D) 4.0 × 10-2 (E) 5.0 × 10-2

13. It is better to send V (A) t (B) t (C) t (D) t (E) t

14. In the capacitor discharge formulaq = qe-t/RC the symbol "t" means: (A) the time constant (B) the time it takes for C to lose the fraction 1/e of its initial charge (C) the time it takes for C to lose essentially all of its initial charge (D) the time it takes for C to lose the fraction (1 – 1/e) of its initial charge (E) none of the above.

16. A copper penny slides on a horizontal frictionless table. There is a square region of uniform magnetic field perpendicular to the table as shown. Which graph correctly shows the speed v of the penny as a function of time t? (A) (B) (C) (D) (E)

17. In the circuit shown, switch S is first pushed up to charge the capacitor. When S is then pushed down, the current in the circuit will oscillate at a frequency of:(A) 0.01 Hz (B) 318 Hz (C) 12.6 kHz (D) 2000 Hz (E) depends on Vo.

18. Consider: radio waves (r), visible light (v), infra-red (i), x-rays (x), ultraviolet (u). In order of increasing frequency, they are: (A) r, v, i, x, u (B) i, r, v, u, x (C) r, i, v, u, x (D) i, v, r, u, x (E) r, i, v, x, u.

19. A rocket ship of rest length 100 m is moving at speed 0.8 C past a timing device which records the time interval between the passage of the front and back ends of the ship. This time interval is: (A)0.20 με (B) 0.33 με (C) 0.25 με (D) 0.52 με(Ε) 0.69 μs.

20. Three different monochromatic light sources are used to liberate free electrons from the surface of an unknown material. Source 1 has wavelength 500 nm, and a stopping potential of 1.08 volts is observed. Source 2 has wavelength 650 nm and a stopping potential of 0.510 volts. If source 3 has wavelength 590 nm, what is the maximum energy of electrons that can be liberated from the surface by source 3? Answer in electron volts. (A) 0.50 (B) 0.70 (C) 0.20 (D) 0.90 (E) 0.10

1. Which of the following statements regarding the reaction force is false?(A) The reaction force of the centripetal force is the centrifugal force.(B) As to the force that the earth attracts the moon, the reaction force is the one that the moon attracts the earth.(C) The Lorentz force violates Newton's third law without considering the contribution of the field.(D) Newton's third law is compatible with conservation of linear momentum.