13. The electric field of an electromagnetic wave is written as E(x, y, z, t) = E₀ cos(ky - ωt) eₓ, where E₀ is the amplitude, eₓ is the unit vector of z-axis, k is the wave number, and ω is the angular frequency. What is the magnetic field of this wave?
(A) B(x, y, z, t) = (E₀/c) cos(ky - ωt) eₓ
(B) B(x, y, z, t) = -c E₀ cos(ky - ωt) eₓ
(C) B(x, y, z, t) = -(E₀/c) cos(ky - ωt) eᵧ
(D) B(x, y, z, t) = (E₀/c) cos(kz - ωt) eₓ
(E) B(x, y, z, t) = c E₀ cos(kx - ωt) eᵧ

14. Consider electric capacitors made by parallel metallic plates. Which one of the following configurations stores maximum energy in the capacitors? Assume all metallic plates are identical, and the gray areas represent dielectric media. (A) (B)(C) (D) (E)

15. There is a current I passing through an inductor with inductance L. How much energy is stored in the inductor? (A) (B) (C) (D) (E)

16. Consider two observers A and B sit on two trains Tₐ and TB, respectively. These two trains have the same proper length. If Tₐ stays in a station and TB moves with a velocity v with respect to the station. When they overlap in the station, which one of the following statements is correct? (A) The observer A finds that Tₐ is shorter than TB, but the observer B finds that TB is shorter than Tₐ. (B) The observer A finds that TB is shorter than Tₐ, but the observer B finds that Tₐ is shorter than TB. (C) Both A and B find that Tₐ is shorter than TB. (D) Both A and B find that TB is shorter than Tₐ. (E) Both A and B find that TB and Tₐ have the same length.

17. Consider the nuclear activity. Which one of the following elements is the most unstable one? (A) He² (B) Na¹¹ (C) Xe⁵⁴ (D) Pb⁸² (E) Ra⁸⁸

18. Which one of the following description of the matter wave Ψ(x, t) is correct? (A) The probability of finding a particle at position x and time t is proportional to the value of |Ψ(x, t)|². (B) The probability of finding a particle at position x and time t is proportional to the value of |Ψ(x, t)|. (C) The probability of finding a particle at position x and time t is proportional to the value of Ψ(x, t). (D) The mass distribution of a particle at position x and time t is proportional to the value of |Ψ(x, t)|². (E) The mass distribution of a particle at position x and time t is proportional to the value of |Ψ(x, t)|.

19. According to the Bohr model of hydrogen atom, the wave function of the electron forms a standing wave inside the atom. This result is derived from what postulate? (A) quantization of energy of the electron (B) quantization of velocity of the electron (C) quantization of momentum of the electron (D) quantization of angular momentum of the electron (E) quantization of charge of the electron

20. Which one of the following statement of superconductor is wrong? (A) The resistivity goes to zero. (B) When temperature increases higher than its critical temperature, the superconductivity will disappear. (C) The electric field inside a superconductor must be zero. (D) The magnetic field inside a superconductor must be zero. (E) The conductivity goes to infinity.

21. A solid rod is hanged by a wire attached to its right, as shown in the figure. The left of the rod contacts the wall with friction force. If the coefficient of static friction is μs, what is the maximum value of θ that the rod can keep stable? (A) θ = tan⁻¹ μs (B) θ = cot⁻¹ μs (C) θ = sin⁻¹ μs (D) θ = cos⁻¹ μs (E) θ = sec⁻¹ μs

22. As shown in the figure, a copper strip of width d = 2 (cm), carrying a current I = 100 (mA), is put in an external magnetic field B = 0.02 (tesla). A potential difference ΔV = VL - VR is measured to be 5 (mV). What is the drift velocity of the charge carrier? (A) 12.5 (m/sec) (B) 20 (m/sec) (C) 25 (m/sec) (D) 40 (m/sec) (E) 50 (m/sec)

23. 2-kg ice at -10°C is added to 5-kg water at 45°C. What is the final temperature of the system? The specific heat of ice and water are 2100 J/kg-K and 4190 J/kg-K, respectively. The latent heat of ice-water transition is 334000 J/kg. (A) 7.5 °C (B) 7.7 °C (C) 7.9 °C (D) 8.1 °C (E) 8.3 °C

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