As an admirer of Thomas Young, you perform a double-slit experiment in his honor. You set your slits 1.01 mm apart and position your screen

Question

As an admirer of Thomas Young, you perform a double-slit experiment in his honor. You set your slits 1.01 mm apart and position your screen 3.09 m from the slits. Although Young had to struggle to achieve a monochromatic light beam of sufficient intensity, you simply turn on a laser with a wavelength of 639 nm . How far on the screen are the first bright fringe and the second dark fringe from the central bright fringe

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Đan Thu 4 years 2021-08-27T12:24:12+00:00 1 Answers 28 views 0

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  1. trucchi
    0
    2021-08-27T12:25:12+00:00
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    Answer:

    0.00195\ \text{m}

    0.00293\ \text{m}

    Explanation:

    m = Order = 1

    D = Distance between screen and slit = 3.09 m

    d = Slit distance = 1.01 mm

    \lambda = Wavelength = 639 nm

    Distance from the first bright fringe from the central bright fringe is given by

    y=\dfrac{m\lambda D}{d}\\\Rightarrow y=\dfrac{1\times 639\times 10^{-9}\times 3.09}{1.01\times 10^{-3}}\\\Rightarrow y=0.00195\ \text{m}

    Distance from the first bright fringe from the central bright fringe is 0.00195\ \text{m}

    Distance from the second dark fringe from the central bright fringe is given by

    y=(m+\dfrac{1}{2})\dfrac{\lambda D}{d}\\\Rightarrow y=(1+\dfrac{1}{2})\dfrac{639\times 10^{-9}\times 3.09}{1.01\times 10^{-3}}\\\Rightarrow y=0.00293\ \text{m}

    Distance from the second dark fringe from the central bright fringe is 0.00293\ \text{m}.

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