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# solutions_42 - PHY2061 R D Field Chapter 42 Solutions...

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PHY2061 R. D. Field Solutions Chapter 42 Page 1 of 2 Chapter 42 Solutions Problem 1: If monochromatic light of wavelength 500 nm is incident on a single narrow slit 0.02 mm wide, what is the width of the central bright spot ( in cm ) on a screen that is 3 meters from the slit? (Hint: the width of the central bright spot is equal to the distance between the two first order minima.) Answer: 15 Solution: The angular position of the first dark fringe is given by W λ θ θ = sin , and L y = θ θ tan . Thus, the width of the central bright spot, D = 2y , is given by cm m m m L W y D 15 ) 3 ( 10 02 . 0 ) 10 500 ( 2 2 2 3 9 = × × = = = λ . Problem 2: Monochromatic light of wavelength 600 nm is incident on a single narrow slit and produces a diffraction pattern on a screen 2 meters away? If the screen is moved 1 meter further away from the slit, what wavelength of monochromatic light ( in nm ) will produce a diffraction pattern with all the diffraction minima at the same points on the screen? Answer: 400 Solution: The angular position of the dark fringes is given by W m λ θ θ = sin , and L y = θ θ tan

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solutions_42 - PHY2061 R D Field Chapter 42 Solutions...

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