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Physics 30 Electromagnetic Principles – Practice - Nd

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Physics 30  Electromagnetic Principles – Practice Written Response    1. In the figure, suppose that the angle of incidence is θi = 30.0°, the thickness of the glass pane is 6.00 mm, and the refractive index of the glass is n2 = 1.52. (10 marks) Find the amount (in mm) by which the emergent ray is displaced relative to the incident ray. 2. A concave mirror has a focal length of 30.0 cm. The distance between an object and its image is 45.0 cm. Find the object and image distances assuming that (10 marks) (a) the object lies beyond the center of curvature (b) the object lies within the focal point. Physics 30  Electromagnetic Principles – Practice Written Response    3. A thin convex lens A of focal length fA = 10 cm is positioned on an x-axis as shown . An object of height 5 cm, represented by the arrow, is positioned 15 cm to the left of lens A. (10 marks) a) On the figure above, draw necessary rays and sketch the image produced by lens A b) Calculate the location of the image produced by lens A. c) Calculate the height of the image produced by lens A. A second thin convex lens B of focal length fB = 10 cm is now positioned 10 cm to the right of lens A, as shown above. d) Determine the location on the x-axis given above of the final image produced by the combination of lenses. e) Circle the appropriate descriptions below to indicate the characteristics of the final image produced by the combination of lenses. inverted larger than the original object upright smaller than the original object Explain your answers. Physics 30  Electromagnetic Principles – Practice Written Response    4. Students were curious to know how laser light behaves after it is normally incident upon the surface of a stationary compact disc. The compact disc has a smooth surface that is covered with many extremely tiny pits. The students set up the apparatus as shown. The diagram is not drawn to scale. (5 marks) The laser light strikes the compact disc, which acts as a diffraction grating, and then forms an interference pattern of bright spots on the screen. The students used a helium - neon laser with a wavelength of 6.328 x 10-7 m, and then repeated the -7 procedure using an argon laser with a wavelength of 4.87 x 10 m. They recorded the results: Wavelength (10-7 m) Distance between compact disc Distance between compact disc and screen (m) and first bright spots (m) Distance between central and and laser (m) 6.238 4.87 1.03 1.03 4.50 4.50 0.536 0.401 Light Source Helium - Neon Argon Use the data from both light sources to calculate the best estimate for the distance between the tiny pits on the surface of the compact disc. State any approximations or assumptions that you used in your estimation. Physics 30  Electromagnetic Principles – Practice Written Response    5. In an investigation of the photoelectric effect, a student determined the stopping voltage for various frequencies of incident light. The results are summarized below. (10 marks) Frequency (1014 Hz) Trial 1 2 3 4 5 5.0 6.0 7.0 8.0 9.0 Stopping Voltage (V) 1.0 1.3 1.8 1.9 2.3 a) Construct a graph using the above data with axes properly labeled. b) From the graph, determine the experimental values for Planck's constant and the threshold frequency. c) Calculate the percentage error in the experimental value of Planck's constant. 6. The figure shows the setup for measuring the Compton effect. With a fixed incident wavelength, a wavelength of λ1'; is measured for a scattering angle of θ1, = 30o, while a wavelength of λ2' is measured for a scattering angle of θ2 = 70o. Find the difference in wavelengths, λ2' - λ1'. (6 marks)