Physics Final Exam Questions: Optics and Wave Phenomena, Exercises of Physics

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All from 2014-16 final exams
Please submit your hardcopy solutions on papers by the end of 22
Feb, Friday.
(1) A lens made of glass (with index of refraction ng = 1.53) is coated witht a thin film of
ITO (with index of refraction ns = 2.00) of thickness t. Visible light of wavelength 450
nm (in air) is incident normally on the coated lens as in Fig. B11.
Fig. B11
(i) Determine the wavelength and frequency of the light in the ITO layer.(2 marks)
(ii) For what minimum value of t will the reflected light be missing? (4 marks)
(iii) Are there other values of t that will minimize the reflected light at this
wavelength? If yes, write down 2 other values of t. If no, explain.
(2 marks)
(2) An object is located 40 cm from the first of two thin converging lenses of focal lengths
20 cm and 10 cm, respectively (Fig. A1). The lenses are separated by 30 cm. Determine
the location and the lateral magnification of the final image formed by the two-lens
system. State whether the final image is upright or inverted.
(5 marks)
Fig. A1
ITO
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All from 2014-16 final exams Please submit your hardcopy solutions on papers by the end of 22 Feb, Friday. (1) A lens made of glass (with index of refraction n g = 1.53) is coated witht a thin film of ITO (with index of refraction n s = 2.00) of thickness t. Visible light of wavelength 450 nm (in air) is incident normally on the coated lens as in Fig. B11. Fig. B (i) Determine the wavelength and frequency of the light in the ITO layer.(2 marks) (ii) For what minimum value of t will the reflected light be missing? (4 marks) (iii) Are there other values of t that will minimize the reflected light at this wavelength? If yes, write down 2 other values of t. If no, explain. (2 marks) (2) An object is located 40 cm from the first of two thin converging lenses of focal lengths 20 cm and 10 cm, respectively (Fig. A1). The lenses are separated by 30 cm. Determine the location and the lateral magnification of the final image formed by the two-lens system. State whether the final image is upright or inverted. (5 marks) Fig. A ITO

(3) The lens and mirror in Fig. Q9 are separated by d = 1.00 m and have focal lengths of 80. cm and 50.0 cm, respectively. An object is placed p =1.00 m to the left of the lens. Note that the first image produced by the lens will be the object for the mirror, and that the image produced by the mirror will be the second object for the lens. Fig. Q (a) Find the image distance for the lens. (b) Find the object distance for the mirror. ( marks) (c) Find the image distance of the image formed by the mirror. ( marks) (d) Find the image distance of the second image (i.e. the final image) produced by the lens. ( marks) (e) Determine the overall magnification of the image. ( marks) (f) State whether the final image is upright or inverted, real or virtual. ( marks) (g) State the two typical types of lens aberrations. ( marks) (4) Fig. Q2 shows a Newton’s ring experiment for a round wedge prism (n = 1.45) placed on a flat plate. When blue light of wavelength 450 nm is incident normally on the prism, 50 bright rings are observed, with the last one precisely on the edge of the prism. What is the width of the wedge d? (8 marks)

(b) Calculate the polarizing angle for light stricking on the same material.