A student sets up a double-slit experiment using monochromaticlight of wavelengt

Question

A student sets up a double-slit experiment using monochromaticlight of wavelength . The distance between theslits is equal to 44. (a) Find the angles at which the m =1, 2, and 3 maxima occur on the viewing screen. m = 1 ° m = 2 ° m = 3 °
(b) At what angles do the first three dark fringes occur? m = 0 ° m = 1 ° m = 2 °
(c) Why are the answers so evenly spaced? Is the spacing even forall orders? Explain.
(a) Find the angles at which the m =1, 2, and 3 maxima occur on the viewing screen. m = 1 ° m = 2 ° m = 3 °
(b) At what angles do the first three dark fringes occur? m = 0 ° m = 1 ° m = 2 °
(c) Why are the answers so evenly spaced? Is the spacing even forall orders? Explain.
m = 1 ° m = 2 ° m = 3 °

Explanation / Answer

The distance between the slits d = 44 For 1 st maxima   d sin = from this sin = / 44                     = 1.302 degrees for 2 nd maxima   d sin = 2                                      = 2.605 degrees for 3 rd maxima d sin = 3                                  = 3.909 degrees for 1 st minima   d sin = / 2                                  = 0.651 degrees for 2 nd minima d sin = 3 / 2                                  = 1.953 degrees for 3 rd minima d sin = 5 / 2                                 = 3.257 degrees For 1 st maxima   d sin = from this sin = / 44                     = 1.302 degrees for 2 nd maxima   d sin = 2                                      = 2.605 degrees for 3 rd maxima d sin = 3                                  = 3.909 degrees for 1 st minima   d sin = / 2                                  = 0.651 degrees for 2 nd minima d sin = 3 / 2                                  = 1.953 degrees for 3 rd minima d sin = 5 / 2                                 = 3.257 degrees

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