9. One traveling wave is described as y(x,t)=6cos(2\pi t+5\pi x+\pi/7), the numerical constants are in SI units. Which statement is correct?
(A) The traveling direction is
(B) The wavelength is 0.4 m and the frequency is 1.0 Hz.
(C) The maximum transverse speed of string element is 12\pi m/s.
(D) All
(E) None

10. 1 mole of an ideal monatomic gas goes from  a to c in Fig.4, where $p_a = 8$ Pa, $p_c = 3$ Pa, $V_a = 2$ m3, and $V_c = 7$ m3. In the path of $a \rightarrow b \rightarrow c$, work $\dot{W}$ is done by the gas, and heat  Q is added to the gas. Which statement is correct? (A) $W = -15 J (B) Q = 22.5 J (C) Internal energy decreases. (D) All (E) None

11. As shown in Fig.5, the top side of a chamber is covered fully by a glass plate (1.2 mm thick) and a copper plate (5 mm thick). The top face area is 20 cm2. The remaining sides of the chamber consist of thermal insulation materials. One 40 watt hot plate is placed in this chamber. In thermal equilibrium at TL= 25 °C, what's the temperature TH? (thermal conductivity: kCu = 401 W/(m·K), kGlass = 0.8 W/(m·K))(A) 35.65 °C (B) 55.25 °C (C) 75.15 °C (D) 95.85 °C (E) 155.05 °C

12. A non-uniform electric field \(\vec{E} = 3x \hat{i} + y \hat{j} + 5\hat{k}\) V/m pierces the cubic Gaussian surface shown in the Fig.6. What's the total charge inside the cube? (A) \(32\varepsilon_0\) C (B) \(16\varepsilon_0\) C (C) 0 (D) \(8\varepsilon_0\) C (E) None

13. There is an electric potential V(x,y,z)=7xy² in volt, and a +0.2 C charged particle moves from 2î+9ĵ+6k̂ to 5î-2ĵ+7k̂. What's the work done by the electric field? (A) -1216 J (B) 1216 J (C) -198.8 J (D) 198.8 J (E) None

14. A neutral metal strip, initially at rest, moves with a constant velocity \( \vec{v} \) through a uniform magnetic field \( \vec{B} \) as in Fig.7. Which statement is correct? (A) No work is done on the charges in the strip. (B) All charges don't move because \( v \) is constant. (C) According to Newton's 1st Law, electrons move to the end of the strip. (D) Only the electrons move to the right, and the strip remains neutral. (E) None

15. Mean free time is the average time interval between collisions. Five ideal gas systems with various molecular diameters d and average speeds v are listed below. All gas systems have the same number density. Which system has the greatest mean free time? (A) d=5d₀, v=v₀ (B) d=4d₀, v=2v₀ (C) d=3d₀, v=3v₀ (D) d=2d₀, v=4v₀ (E) d=d₀, v=5v₀

16. As in Fig.8, one capacitor consists of two parallel metal plates (of separation \(d\) and area \(A\)) and a dielectric slab (dielectric constant \(\kappa\)) of thickness \(0.6d\). What is the capacitance of the capacitor? (A) \(\frac{\kappa\epsilon_0 A}{d(0.4\kappa+0.6)}\) (B) \(\frac{\kappa\epsilon_0 A}{d(0.4+0.6\kappa)}\) (C) \(\frac{\kappa\epsilon_0 Ad}{0.4+0.6\kappa}\) (D) \(\frac{\kappa\epsilon_0 Ad}{0.4\kappa+0.6}\) (E) None

17. As in Fig.9, initially all capacitors are uncharged and switch S is open. Which statement is correct? (A) Just after the switch S is closed, the current through the 30 Ω resistor is 2.5 A. (B) Just after the switch S is closed, the current through the 15 Ω resistor is 0. (C) After the switch S has been closed for a very long time, the current through the 15 Ω resistor is 2.0 A. (D) After the switch S has been closed for a very long time, the voltage across the 30 Ω resistor is 2.0 A. (E) None

18. A single circular wire loop of radius 0.2 m and resistance 2 Ω is placed in a time-dependent magnetic field B as given in Fig.10. The plane of the loop is perpendicular to B. What is the current induced in the loop? (A) 0.019 A at t=0.5 s (B) 1.5 A at t=1.0 s (C) It reaches a maximum within t=2.0 to 4.0 s. (D) 0.03 A within t=4.0 to 6.0 s (E) None

19. A parallel plate capacitor (without a dielectric) is connected in series to a resistor and an AC voltage source. Considering a point between the two plates of the capacitor, which statement is correct? (A) No magnetic field exists because there are no moving charges. (B) Electromagnetic waves are constantly propagating outward between the plates. (C) The direction of the magnetic field is reverse during charging and discharging of the capacitor. (D) The direction of the magnetic field is the same during charging and discharging of the capacitor. (E) Both ( B ) and ( D ) are correct.

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