12. A gas undergoing a series of pressure and volume changes from a state (a) to state (b) by the following five paths. Which of the following paths requires the highest work for the changing?
(A) I
(B) II
(C) III
(D) IV
(E) V

8. Find the resonance frequency of the following LC circuit?(A) 0.02 Hz (B) 0.04 Hz (C) 0.06 Hz (D) 0.08 Hz (E) 0.10 Hz

9. Find the current of the following circuit. (A) 3.3 A (B) 4.4 A (C) 5.6 A (D) 6.7 A (E) 7.8 A

10. In the 4 He atom, when the 3rd orbital electron jumps to the 1st orbit, what is the photon energy being emitted? (A) 44.2 eV (B) 48.4 eV (C) 52.3 eV (D) 54.1 eV (E) 60.6 eV

11. An engine does 15 kJ of work while exhausting 37 kJ to a cold reservoir. What is the efficiency of the engine? (A) 0.15 (B) 0.29 (C) 0.33 (D) 0.45 (E) 1.20

13. The speed of a transverse wave on a string is 170 m/s when the string tension is 120 N. To what value must the tension be changed to raise the wave speed to 180 m/s? (A) 120 N (B) 125 N (C) 130 N (D) 135 N (E) 140 N

14. Which of the following aberrations is related to the wavelength of light? (A) spherical aberration (B) chromatic aberration (C) coma (D) astigmatism (E) distortion

15. An ideal fluid flows through a horizontal pipe whose diameter varies along its length. Measurements would indicate that the sum of the kinetic energy per unit volume and pressure at different sections of the pipe would __________. (A) decrease as the pipe diameter increases (B) increase as the pipe diameter increases (C) increase as the pipe diameter decreases (D) decrease as the pipe diameter decreases (E) remain the same as the pipe diameter changes

16. A point in the wave function where the amplitude is zero defines__________ . (A) the node (B) the excited state (C) the amplitude of the wave function (D) the frequency of radiation (E) none of the above

17. For a heterogeneous catalyzed reaction, the reaction can be divided into four processes: I. Escape or desorption of the products.II. Reaction of the adsorbed reactants.III. Migration of the adsorbed reactants on the surface of the catalyst.IV. Adsorption and activation of the reactants.What is the correct order of the process? (A) I → II →  III →  IV (B) IV →  III →  II →  I (C) I →  IV →  II→  III (D) IV →  II→  III → I (E) III →  II →  I →  IV

複選題18. The band gap of the semiconductor aluminum phosphide (AlP) is 2.5 eV. What color of light is emitted by AlP diode? (1 eV = 1.6 × 10-19 J； Planck’s constant: 6.626 × 10-34 J·s = 4.136 × 10-15 eV·s) (A) red (B) orange (C) yellow (D) green (E) blue