4. What is the correct form of the 1-dimensional wave equation?_______

where f is dynamic variable, x is position, t is time, and v is wave velocity.
(A)
(B)
(C)
(D)
(E) 

5. In general, the resistivity of a conductor increases as the temperature increases. However, the resistivity of a pure semiconductor may decreases as the temperature increases. What is the possible reason of this unusual behavior of semiconductor? (A) The collisions between free electrons and atoms are reduced as the temperature increases. (B) The collisions between free electrons and atoms are enhanced as the temperature increases. (C) The drift velocity of electrons is increased as the temperature increases. (D) The electron density is decreased as the temperature increases. (E) The electron density is increased as the temperature increases.

6. A radio station broadcasts electromagnetic waves with a power of 2000 W. Assume the station acts as a point source. What is the amplitude of the electric field at a position 860-m away from the station? (A) 0.8 V/m (B) 0.7 V/m (C) 0.6 V/m (D) 0.5 V/m (E) 0.4 V/m

7. A parallel plate capacitor has circular plates of radius r = 2 cm separate by a distance d = 1 mm. If the potential difference between the plates changes at 10⁴ (volt/sec), what is its displacement current? (A) 4.0 × 10⁻¹⁰ amp (B) 2.0 × 10⁻⁹ amp (C) 1.0 × 10⁻⁸ amp (D) 5.0 × 10⁻⁸ amp (E) 2.5 × 10⁻⁷ amp

8. An observer A stands on the ground with clock CA and an observer B sits on a train with clock CB. The train moves with a velocity v with respect to the ground. Consider the relativistic time dilation effect, which one of the following descriptions is correct? (A) Both A and B find that CA counts slower than CB. (B) Both A and B find that CA counts as fast as CB. (C) Both A and B find that CA counts faster than CB. (D) The observer A finds that CA counts slower than CB, but the observer B finds that CB counts slower than CA. (E) The observer A finds that CA counts faster than CB, but the observer B finds that CB counts faster than CA.

9. The circuit in Fig. 4 has reached steady-state condition. Find the potential difference across the first resistor R₁. Take V = 12 volt, R₁ = 3 Ω, R₂ = 1 Ω, and C = 1 μF. (A) 3 volt (B) 6 volt (C) 9 volt (D) 10 volt (E) 12 volt

10. A positron collides head on with an electron and both are annihilated. Each particle had a kinetic energy of 1.5 MeV. What is the wavelength of the resulting photons? (A) 3.09 × 10⁻¹³ m (B) 6.18 × 10⁻¹³ m (C) 1.24 × 10⁻¹² m (D) 2.48 × 10⁻¹² m (E) 1.24 × 10⁻¹¹ m

1. Which ones of the following principles can be used to explain the propagation of light? (A) Heisenberg's uncertainty principle (B) Fermat's principle of least time (C) Huygens' principle of wave (D) Pauli's exclusion principle (E) Newton's law of motion

2. Consider the second law of thermodynamics. Which ones of the following statements are correct? (A) It is possible for a heat engine that operates in a cycle to convert its heat input completely into work. (B) In a reversible process the entropy of an isolated system increases; in an irreversible process the entropy stays constant. (C) In a reversible process the entropy of an isolated system stays constant; in an irreversible process the entropy decreases. (D) No cyclical heat engine has a greater efficiency than a reversible engine operating between the same two pressures. (E) It is possible for a heat engine that operates in a cycle to transfer heat continuously from a hot body to a cold body without the input of work.

3. Consider an ideal gas is initially confined to part of a thermally insulated box with a thin membrane. When the membrane is punctured, the gas rapidly expands to fill the whole box. Compare the initial and final states of the system. Which ones of the following quantities are not varied? (A) temperature of the gas (B) internal energy of the gas (C) pressure of the gas (D) entropy of the gas (E) entropy of the box

4. Consider the single-slit diffraction of light. Which ones of the following actions can broaden the diffraction pattern? (A) Increase the width of slit. (B) Increase the intensity of light. (C) Increase the frequency of light. (D) Increase the wavelength of light. (E) Increase the distance between the slit and the screen.

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