At what angle should the axes of two Polaroids be placed so as to reduce the intensity of the incident unpolarized light to

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At what angle should the axes of two Polaroids be placed so as to reduce the intensity of the incident unpolarized light to

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Khánh Gia 3 years 2021-08-10T08:59:54+00:00 1 Answers 18 views 0

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  1. thaiduong
    0
    2021-08-10T09:01:52+00:00
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    Answer:

    Ok, the question is incomplete buy ill try to answer this in a general way.

    Suppose that you have no-polarized light.

    When that light hits one polaroid, the light becomes polarized along some line, and has an intensity I0.

    Now, when polarized light hits a polaroid which axis is at an angle θ with respect to the polarization of the light, the intensity of the resulting beam is given by the Malus’s law:

    I(θ) = I0*cos^2(θ)

    For example, if the axis of the polaroid is exactly the same as the one of the polarized light, then we have θ = 0°

    and:

    I(0°) = I0*cos^2(0°) = I0

    So the intensity does not change.

    Now, knowing the initial intensity, you can find the angle needed to get a given intensity.

    For example, if the question was:

    “At what angle should the axes of two Polaroids be placed so as to reduce the intensity of the incident unpolarized light to A”

    We should solve:

    I(θ) = A = I0*cos^2(θ)

    (A/i0) = cos^2(θ)

    √(A/I0) = cos(θ)

    Acos(√(A/I0)) = θ

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