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single-slit diffraction pattern is formed when light of 680.0 nm is passed through a narrow slit. The pattern is viewed on a screen placed one meter from the slit. What is the width of the slit (mm) if the width of the central maximum is 2.69 cm?

  • physics -

    Use the single-slit diffraction formula for the angular distance between the two minima on either side of the maximum. If you need a refresher course on that, see

    http://en.wikipedia.org/wiki/Diffraction

    That angle is given (for small angles) by
    theta = 2 (wavelength)/d

    Set that angle (in radians) equal to 2.69/100 = 0.0269

    Then solve for the slit width, d.

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