6. Consider an ideal gas system. Which one of the following physical quantities is not a "state variable"?
(A) heat
(B) volume
(C) pressure
(D) temperature
(E) density

7. The Temperature(T)-Entropy(S) diagram of the Carnot cycle is shown in the right figure (solid line). What area in the T-S diagram represents the work done by the system in each cycle?(A) α (B) β (C) γ (D) α + β (E) β + γ

8. Which one of the following statements of the second law of thermodynamics is wrong? (A) It is impossible for a heat engine that operates in a cycle to convert its work input completely into heat. (B) It is impossible for a cyclical device to transfer heat continuously from a cold body to a hot body without the input of work or other effect on the environment. (C) No cyclical heat engine has a greater efficiency than a reversible engine operating between the same two temperatures. (D) In a reversible process the entropy of an isolated system stays constant; in an irreversible process the entropy increases. (E) None of the above is wrong.

9. Assume v is the speed of sound and f₀ is its frequency. If the sound source S moves toward an observer O at speed v_S and the observer O moves away from the sound source S at speed v_O. What is the frequency heard by O? (A) (B) (C) (D) (E)

10. A uniform disk of mass m and radius R is hanged as a physical pendulum as shown in the right figure. What is the oscillation period of that pendulum? (A) (B)(C) (D) (E)where g is the gravitational acceleration.

11. A charge q sits at the back corner of a cube, as shown. The length of its edges is L. What is the flux of electric field E through the shaded side of the figure? (A) (B) (C) (D) (E)

12. 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 vd of the charge carrier? (A) 1.25 m/s (B) 2 m/s (C) 2.5 m/s (D) 12.5 m/s (E) 25 m/s

13. The pattern of capacitors of equal value C shown in the right figure is repeated indefinitely. What is the effective capacitance between the terminals A and B? (A) (B) (C) (D)(E)

14. The circuit in the right figure has reached steady-state condition, where V = 12 (volt), R₁ = 2 (ohm), R₂ = 4 (ohm), and C = 1 (μF).What is the potential difference across resistor R₁? (A) 12 volt (B) 2 volt (C) 6 volt (D) 8 volt (E) 4 volt

15. The magnetic field of an electromagnetic wave is written as B(x, y, z, t) = B₀ ex cos(kz - ωt), where B₀ is the amplitude, ex is the unit vector along x-axis, k is the wave number, and ω is the angular frequency. What is the electric field of this wave? (A) E(x, y, z, t) = -cB₀ ey cos(kz - ωt) (B) E(x, y, z, t) = cB₀ ez sin(ky - ωt) (C) E(x, y, z, t) = -(B₀/c) ez cos(kz - ωt) (D) E(x, y, z, t) = cB₀ ey sin(kz - ωt) (E) E(x, y, z, t) = (B₀/c) ey cos(ky - ωt) where c is the speed of light, e_y and e_z are the unit vectors along y-axis and z-axis respectively.

16. A rod of 1-m proper length moves relative to an observer with velocity v = 3/5 c, where c is the speed of light. What is the length of the rod measured by the observer? (A) 0.6 m (B) 0.64 m (C) 0.8 m (D) 1 m (E) 1.25 m

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