38. What is the magnitude of the magnetic field at point P if a = R and b = 2R?
(A)
(B)
(C)
(D)
(E)

58. A solenoid with 200 turns of copper wires is operated by a 1000 V power supply and must be 25 cm long. What is the magnitude of magnetic field that is created in the solenoid? (The resistance of Cu wire is 0.2 Ω and the permeability T⋅m/A) (A) 5.03 T (B) 3.21 T (C) 7.84 T (D) 4.58 T (E) 4.36 T

39. The wave function φ(x) of a particle confined to 0≤x≤L is given by φ(x) = Ax. φ(x) = O for x ＜ 0 and x＞ L. When the wave function is normalized, the probability density at coordinate x has the value (A)(B)(C)(D) (E)

40. Two conducting spheres, of radii R1 = 0.2 m and R2 = 0.1 m, carry charges q1 = 6 x10-8 C, q2 = -2 x10-8 C and are placed at a distance>> R1, R2 from cach other. They are then connected by a conducting wire. What are their final charges (q1', q2')? (A) 1.85✖10-8 C, 2.15 ✖10-8C (B) 2.67✖10-8 C, 1.33✖10-8C (C) 2.33 ✖10-8 C, 1.67 ✖10-8C (D) 2.15✖10-8 C, 1.85✖10-8C (E) 1.33 ✖10-8 C, 2.67 ✖10-8C

41. Given a sample of radium-226 having a half-life of 4 days, find the probability that a nucleus disintegrates after two half-lives. (A) 1/2 (B) 1/4 (C) 2/3 (D) 3/4 (E)1/3

42. Two batteries of different emfs and different internal resistances are connected. The voltage across AB in volt is   (A) 1(B) 2 (C) (D) (E) 5

43. An ideal gas is allowed to undergo a free expansion. If its initial volume is V1 and its final volume is V2, the change in entropy is (A) 0 (B) nRin(V2/V1.) (C) nRTIn(V2/V1) (D) nkin(V2/V1) (E) nRV2/V1

44. The magnetic field of a plane-polarized electromagnetic wave moving in the z-direction is given by in St units. What is the speed of the EM wave? (A) 3 x 108m/s (B) 100m/s (C) 106m/s (D) 2 x 107m/s (E) 2x108m/s

45. A wave generated in a medium is a longitudinal wave when (A) there is a net transport of matter by the wave. (B) the molecules of the medium are unable to exert forces on each other. (C) molecular displacements are parallel to the wave velocity. (D) molecular displacements are perpendicular to the wave Velocity. (E) the density of the medium is less than the density of matter.

46. The path difference between two waves is 5 m. If the wavelength of the waves emitted by the two sources is 4 m, what is the phase difference (in degrees)? (A) 90 (B) 400 (C) 1.57 (D) 7.85 (E) 15

47. Two blocks are accelerated across a horizontal frictionless surface as shown below. Frictional forces keep the two blocks from sliding relative to each other, and the two move with the same acceleration. If F = 1.2 N and M = 1.0 kg, what is the horizontal component (frictional force) of the force of the small block on the large block?  (A) 0.48 N to the right  (B) 0.72 N to the right (C) 0.72 N to the left (D) 0.48 N to the left (E) 0.65 N to the left

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