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

17. Which one of the following concepts is verified by the Compton scattering effect? (A) quantization of the energy of bound electrons in atom (B) quantization of the energy of an oscillator (C) quantization of the energy of the electromagnetic field (D) quantization of the angular momentum of the electromagnetic field (E) quantization of the linear momentum of the electromagnetic field

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