45. A rectangular conductor coil has width L = 10 cm, resistance R = 0.3 Ω, and mass m = 100 g. Ignoring the air drag, when the coil falls in a uniform magnetic field B = 10 T, the final terminal velocity value of the coil is: 

(Gravitational acceleration g = 10 m/s² )
(A) 0.3 m/s
(B) 0.5 m/s
(C) 0.7 m/s
(D) 3.0 m/s
(E) 5.0 m/s

41. An electronics technician wishes to construct a parallel plate capacitor using rutile (κ = 100) as the dielectric. The area of the plates is 1.0 cm2 . What is the capacitance if the rutile thickness is 1.0 mm? (permeability constant μ0 = 8.85×10-12 C2 /N·m2 ) (A) 88.5 pF (B) 177 pF (C) 8.85 μF (D) 35.4 μF (E) 100 μF

42. Two conducting wires A and B of the same length and radius are connected across the same potential difference. Conductor A has twice the resistivity of conductor B. What is the ratio of the power delivered to A to the power delivered to B? (A) 2 (B) (C) 1 (D) (E)

43. A heart surgeon monitors the flow rate of blood through an artery using an electromagnetic flowmeter as shown in the figure. Electrodes A and B make contact with the outer surface of the blood vessel, which has a diameter of 3.0 mm. For a magnetic field magnitude of 0.04 T, an emf of 160 μV appears between the electrodes. Calculate the speed of the blood.(A) 1.33 m/s (B) 2.33 m/s (C) 3.66 m/s (D) 4.66 m/s (E) 6.66 m/s

44. A rectangular coil with 1000 turns has a length and width of 10 cm and 20 cm respectively and carries a counterclockwise current of 10 A. When the magnetic dipole moment makes an angle of 60° with a magnetic field of 0.5 T, what is its potential energy? (A) -50 J (B) -87 J (C) -100 J (D) 50 J (E) 100 J

46. A 5 µF capacitor is linked to an electromotive force experiencing uniform increment at a rate of 100 V/s over time. The displacement current between the plates is: (A) 0 (B) 5 A (C) 5×10-2 A (D) 5×10-4 A (E) 5×10-6 A

47. In a certain cyclotron a proton moves in a circle of radius 0.50 m. The magnitude of the magnetic field is 1.20 T. What is the oscillator frequency? (The mass of proton mp = 1.67×10-27 kg) (A) 1.83×107 Hz (B) 2.53×107 Hz (C) 3.62×107 Hz (D) 4.71×107 Hz (E) 5.83×107 Hz

48. A gas is at 200 K. If we wish to double the root mean square speed (vrms) of the molecules of the gas, to what value must we raise its temperature? (A) 283 K (B) 400 K (C) 500 K (D) 600 K (E) 800 K

49. In the figure, a gas enclosed within a sealed chamber follows a closed path as illustrated. What is the total amount of work performed by the gas?(A) +40 J (B) +20 J (C) 0 J (D) -20 J (E) -40 J

50. When a fixed pressure of one atmosphere is maintained, an ideal gas receives 25 J of energy in the form of heat. During this process, the gas's volume expands from 20 cm³ to 40 cm³. What is the molar specific heat of this ideal gas? (The universal gas constant R = 8.31 J/mol·K, 1 atm = 1.01×105 Pa) (A) 80 J/mol·K (B) 85 J/mol·K (C) 90 J/mol·K (D) 95 J/mol·K (E) 100 J/mol·K

51. Two objects with temperatures T1 and T2 (T2 = 2T1) are isolated from their surroundings. A small amount of heat Q is transferred without changing their temperatures. What is the total entropy change of the two objects? (A) (1/2)·(Q/T1) (B) (3/2)·(Q/T1) (C) (1/3)·(Q/T2) (D) (2/3)·(Q/T2) (E) (1/4)·(Q/T2)