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12 January, 09:07

Constants Light of wavelength 640 nm falls on two slits and produces an interference pattern in which the third-order bright red fringe is 46 mm from the central fringe on a screen 2.6 m away. What is the separation of the two slits?

Express your answer to two significant figures and include the appropriate units.

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  1. 12 January, 11:02
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    1.1 * 10⁻⁴ m = 0.11 mm

    Explanation:

    d y / L = m λ is the formula that relates the slit separation with all other given quantities here.

    y = fringe width = 46 mm = 0.046 m

    L = distance to the screen = 2.6 m

    Wavelength = λ = 640 nm

    Order of the fringe = m = 3

    Slit separation = d = m λL / y = (3) (640 * 10⁻⁹) (2.6) / 0.046

    = 1.1 * 10⁻⁴ m = 0.11 mm
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