Light is sent through a single slit of width w = 0.52 mm. On a screen, which is L = 1.9 m from the slit, the width of the central maximum is D = 5.2 mm. a) The angle of the first dark fringe theta dark. Express sin(theta dark) in terms of the wavelength of the light λ and w. sin(theta dark) = b) Express tan(theta dark) in terms of D and L. c) If D << L, how is tan(theta dark) related to sin(theta dark)?
Light is sent through a single slit of width w = 0.52 mm. On a screen, which is L = 1.9 m from the slit, the width of the central maximum is D = 5.2 mm. a) The angle of the first dark fringe theta dark. Express sin(theta dark) in terms of the wavelength of the light λ and w. sin(theta dark) = b) Express tan(theta dark) in terms of D and L. c) If D << L, how is tan(theta dark) related to sin(theta dark)?
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Chapter4: Diffraction
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Problem 32P: The width of the central peak in a single-slit diffraction pattern is 5.0 mm. The wavelength of the...
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Light is sent through a single slit of width w = 0.52 mm. On a screen, which is L = 1.9 m from the slit, the width of the central maximum is D = 5.2 mm.
a) The angle of the first dark fringe theta dark. Express sin(theta dark) in terms of the
sin(theta dark) =
b) Express tan(theta dark) in terms of D and L.
c) If D << L, how is tan(theta dark) related to sin(theta dark)?
d) Express λ in terms of w, D, and L?
e) Solve for the numerical value of λ, in nanometers.
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