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MMLU-Pro / 9439 / Malus' law: I=I_0*cos^2(…). Where I is the intensity of polarized light…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Malus' law: $I=I_0*cos^2($\theta)). Where I is the intensity of polarized light that has passed through the polarizer, I_0 is the intensity of polarized light before the polarizer, and θ\theta is the angle between the polarized light and the polarizer. Unpolarized light passes through a polarizer. It then passes through another polarizer at angle 30 degree to the first, and then another at angle 50 degree to the second. What percentage of the original intensity was the light coming out of the third polarizer?
Plain-text mathematical notation (without MathML)
Malus' law: $I=I_0*cos^2($\theta). Where I is the intensity of polarized light that has passed through the polarizer, I_0 is the intensity of polarized light before the polarizer, and θ is the angle between the polarized light and the polarizer. Unpolarized light passes through a polarizer. It then passes through another polarizer at angle 30 degree to the first, and then another at angle 50 degree to the second. What percentage of the original intensity was the light coming out of the third polarizer?
Original LaTeX notation
Malus' law: $I=I_0*cos^2($\theta$)$. Where I is the intensity of polarized light that has passed through the polarizer, I_0 is the intensity of polarized light before the polarizer, and $\theta$ is the angle between the polarized light and the polarizer. Unpolarized light passes through a polarizer. It then passes through another polarizer at angle 30 degree to the first, and then another at angle 50 degree to the second. What percentage of the original intensity was the light coming out of the third polarizer?

category

physics

options

  1. 40.0
  2. 45.0
  3. 55.0
  4. 60.0
  5. 50.0
  6. 12.5
  7. 15.0
  8. 25.0
  9. 70.0
  10. 31.0

src

theoremQA-Physics

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Source and history

upstream_id / Original problem ID
9439
task_id
5f5d7f9b-ec3f-56f1-9898-d9a6bc7b40e2
task_key
default--test--9439
task_revision_id
1
config / split
default / test

Official source

initial import