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Thread: young's double slit equation....

  1. #1
    Dec 2007

    young's double slit equation....

    Calculate the angle of the second-order maximum for monochromatic light of wavelength 550nm if it illuminates

    a)a double slit with a slit seperation of 2.0x10^-6m

    b)a diffraction grating with 10 500 slits in 1.0m
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  2. #2
    o_O is offline
    Primero Espada
    o_O's Avatar
    Mar 2008
    2nd fringe occurs when m = 2:
    $\displaystyle d\sin \theta = m\lambda$

    $\displaystyle \left(2.0 \cdot 10^{-6}m\right) \sin \theta = (2)\left(5.5 \cdot 10^{-7} m \right)$

    Solve for $\displaystyle \theta$.

    For multiple-slit interference with diffraction gratings, we have the same equation as above also with m = 2:
    $\displaystyle d\sin \theta = m\lambda$

    To find d, note that each slit are presumed to be equally spaced from one another. So, the distance between two slits is:
    $\displaystyle d = \frac{1.0 m}{10500} = 9.5238 \cdot 10^{-5} m$
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