33. Two concentric conducting spheres have an inner sphere of radius a and an outer sphere of radius b. One terminal of a battery is connected to the outer sphere, while the other terminal is grounded (see Figure). What is the capacitance of this system?

(A)
(B) C = 4πε₀(a+b)
(C)
(D) C = 4πε₀β
(E) Ο = 4πε₀α

29. A liquid above the packed solid following a centrifugation is called the _____(A) solvonatant (B) analyte (C) serum (D) decanted (E) supernatant

30. Which of the options below shows an INCORRECT chemical formula for the named compound? (A) iron(II) oxide FeO (B) potassium sulfate K2SO4 (C) sodium sulfide NaS (D) zinc nitrate Zn(NO3)2 (E) calcium carbonate CaCO3

31. During the heart's beating process, the activity of cardiomyocytes generates a magnetic field in space. In 1963, Baule and others first recorded the magnetic field generated by the electrical currents in the human heart, leading to the development of magnetocardiography (MCG). Using the Biot-Savart law to estimate the magnetic field. Suppose that I = A is the total current generated by myocardial activity and r = 0.1 m is the distance to the measurement point, what is the order of magnitude of the magnetic field generated by the heart in T? The permeability of free space is µ0=1.26× (T·m/A). (A)T (B) T (C) T (D)T (E) T

32. A particle moving in circular motion on a plane with a radius r has an angular momentum L and mass m. Which of the following expressions represents the centripetal force F of this circular motion? (A) F = mr²L (B) (C) F = rmL (D) (E)

34. A beam of light traveling from point A to point B (see Figure) undergoes refraction as the figure shows. If the refractive indices of the top and bottom media are n₁ and n2, respectivly, what is the ratio ? (A) 2/3 (B) 3/2 (C) √8/3 (D) 3/√8 (E) √2/1

35. Consider the circuit in the Figure and assume the battery has no internal resistance. Just after the switch is closed, what is the current in the battery? (A) 0 (B) ε/2R (C) 28/R (D) ε/R (Ε) ε/3R

36. For any given scattering angle 8, this equation gives the same value for the Compton shift for any wavelength. Keeping that in mind, for which of the following types of radiation is the fractional shift in wavelength at a given scattering angle the largest? (A) radio waves (B) microwaves (C) visible light (D) x-rays (E) infrared

37. A fancy sports car passes Big Ben at a speed of 0.600c. What time interval will the driver measure for a one-second interval on the large clock? (A) 1.67 s (B) 0.600 s (C) 0.800 s (D) 1.00 s (E) 1.25 s

38. The correct form of the Ampère-Maxwell law is (A)(B)(C)(D)(E)

39. When a driver is traveling at a speed of v1, they hear the frequency of a distant whistle as f₁. When they reduce their speed to v2, the frequency of the whistle is heard as f2. The car is moving toward the sound source. Assuming the sound source is stationary relative to the ground, what is the speed of sound? (A)(B)(C)(D)(E)