Consider 3 polarizers. Polarizer 1 has a vertical transmission axis and polarizer 3 has a horizontal transmission axis. Taken together, pola

Question

Consider 3 polarizers. Polarizer 1 has a vertical transmission axis and polarizer 3 has a horizontal transmission axis. Taken together, polarizers 1 and 3 are a pair of crossed polarizers. Polarizer 2, with a transmission axis of 30o to the vertical, is placed between polarizers 1 and 3. What is the intensity of light transmission that these polarizers given an initial intest of light Io?

A. 0.375 Io
B. 0.25 Io
C. 0.18 Io
D. 0.09 Io
E. zero

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Thiên Di 6 months 2021-08-05T21:59:01+00:00 1 Answers 7 views 0

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    2021-08-05T22:00:34+00:00

    Answer:

    Option D.) 0.09 I₀

    Explanation:

    The intensity, I, of a polarized light after passing through a polarizing filter is given by I = I_{0} cos^{2}  \theta

    I_{0} = Original Intensity

    \theta = Angle between the direction of polarization and the axis of filter

    After passing through the first polarizer, the initial intensity, I_{o} is halved, i.e I_{1} = \frac{I_{0} }{2}

    After passing through the second polarizer, the angle of polarization, θ = 30⁰

    I_{2} = I_{1} cos^{2} \theta

    I_{2} = \frac{I_{0} }{2} cos^{2} 30\\I_{2} =\frac{3}{8} I_{0} \\I_{2} = 0.375 I_{0}

    After passing through the third polarizer, the angle of polarization, θ = 90⁰-30⁰ = 60⁰

    I_{3} = I_{2} cos^{2} \theta

    I_{3} = 0.375I_{0} cos^{2} 60

    I_{2} =0.09 I_{0}

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