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30 January, 03:15

The distance y3, red from the center of the pattern to the location of the third diffraction minimum of the red laser is 4.05 cm. How far L is the screen from the slit

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  1. 30 January, 03:43
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    L = a 1,929 10⁴ m

    a = 0.1 mm = 0.1 10⁻³ m, L = 1,929 m

    Explanation:

    The diffraction phenomenon is described by the expression

    a sin θ = m λ

    Let's use trigonometry to find the breast

    tan θ = y / x

    As the angles are very small

    tan θ = sin θ / cos θ = sin θ = y / x

    We replace

    a y / L = m λ

    L = a y / m λ

    The red light has a wavelength of Lam = 700 nm = 700 10⁻⁹ m, in the third pattern it is m = 3

    L = a 4.05 10⁻² / (3 700 10⁻⁹)

    L = a 1,929 10⁴ m

    To give a specific value we must know the width of the slit, suppose a value of a = 0.1 mm = 0.1 10⁻³ m

    L = 1,929 m
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