56. A medical blue light therapy laser treatment pen emits a blue light with wavelength of 415 nm in the visible light. The index of refraction for air and cornea is 1.00 and 1.34, respectively. What is the wavelength of this blue light when that enters into cornea from air? (Speed of light in vacuum is 3 × 10⁸ m/s)
(A) 185 nm
(B) 310 nm
(C) 486 nm
(D) 556 nm
(E) 693 nm

52. If a farsighted patient’s near point of eyes is 40 cm, what kinds of lens and focal length of a corrective lens have to enable the eye to see clearly an object 20 cm away? (A) converging lens, f = 13.3 cm (B) diverging lens, f = 13.3 cm (C) converging lens, f = 40 cm (D) diverging lens, f = 40 cm (E) converging lens, f = 20 cm

53. There are two point-charges −Q, and 2Q located at the distance 2d, and 4d from the origin O, respectively. What is the electric field at the origin O? (Vacuum permittivity is ε0) (A) 0 (B)E= (C)E=   (D)E= (E)E=

54. There is a cylindrical conductor with radius R which carries current I. Which diagram is correct for the magnetic field of this conductor? (A) (B) (C) (D) (E)

55. There are two parallel, straight current-carrying conductors with current I1 = 10 A and length I2 = 2 A. Both of these two conductors are 1 m length, and the distance between them is 2 m. What is the force between these two parallel conductors? (Permeability constant is μ0) (A) (B) (C) (D) (E)

57. There is an ideal polarizer with the angle of ϕ = 60° between the polarizing axis and the vertical axis, and there is an ideal analyzer with the angle of ϕ = 0° between the polarizing axis and the vertical axis.When an unpolarized light with intensity I is incident on this ideal polarizer, what is its transmitted intensity? (A) 0.125 I (B) 0.250 I (C) 0.750 I (D) 0.866 I (E) 1.000 I

58. There is thin converging lens with focal length f = 140 mm. When an object is placed at the distance of 210 mm from the lens, what is the lateral magnification? (A) 0.3 (B) 0.5 (C) 1.0 (D) 2.0 (E) 3.0

59. The X-ray typically operate at a potential difference of 1.00 x 105 V. What is the minimum wavelength the X-ray tubes produce when electrons are accelerated through this potential difference? ( The Planck’s constant is 6.63 x 10-34 J•s) (A) 1.24 x 10−7 m (B) 1.24 x 10−9 m (C) 1.24 x 10−11 m (D) 1.24 x 10−13 m (E) 1.24 x 10−15 m

60. In process ab, 20 J of heat is added to the system. In process bd, 80 J of heat is added to the system. Find the internal energy change ΔU in process abd. (A) 21 J (B) 59 J (C) 79 J (D) 101 J (E) 121 J

複選題61. Regarding the reactions of organic compounds, which of the following statements is NOT true?(一律送分，請勾選ABCDE) (A) The reaction of benzene and chloromethane can produce toluene. (B) Methanol is prepared in industry by the hydrogenation of carbon dioxide. (C) The commercial production of ethanol is carried out by the reaction of water with ethylene. (D) Aldehyde can be produced commercially by the oxidation of primary alcohol. (E) Ketone can be produced commercially by the oxidation of secondary alcohol.

62. Consider the following data concerning the equation: (A) Rate = k[H2O2][I– ][H+ ] (B) Rate = k[H2O2]2 [I– ]2 [H+ ]2 (C) Rate = k[I– ][H+ ] (D) Rate = k[H2O2][H+ ] (E) Rate = k[H2O2][I– ]