Worksheet: Polarization of Light

In this worksheet, we will practice describing the changes to the polarization angle and intensity of light waves produced by polarizing filters.

Q1:

Unpolarized light passes through two polarizers that have polarization axes 48 apart from each other. The intensity of the light after it passes through both polarizers is 0.15 W/m2. What is the initial intensity of the light?

Q2:

Unpolarized light traveling in air that has a refractive index of 1.00 reflects from a film of oil. The angle from the normal to the surface of the oil of reflected light that is completely polarized is 37.6. What is the refractive index of the oil?

Q3:

Unpolarized light passes through two polarizers. The light has an initial intensity of 1.8 W/m2. The intensity of the light after it passes through both polarizers is 0.85 W/m2. What is the angle between the polarization axes of the polarizers?

Q4:

Vertically polarized light with an intensity of 1.25 W/m2 passes through a polarizer aligned at the angle 𝜃, 35 above the horizontal, as shown in the diagram. What is the intensity of the light transmitted through the polarizer? Give your answer to two significant figures.

Q5:

Vertically polarized light enters a diagonally aligned polarizer, as shown in the diagram. Which of the following diagrams correctly shows the polarization angle of the light that emerges from the polarizer?

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Q6:

Horizontally polarized light enters a vertically aligned polarizer placed in front of a diagonally aligned polarizer, which is placed in front of a horizontally aligned polarizer, as shown in the diagram. Which of the following diagrams correctly shows the polarization angle of the light that emerges from the horizontal polarizer?

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  • E

Q7:

Unpolarized light enters a horizontally aligned polarizer, as shown in the diagram. Which of the following diagrams correctly shows the polarization angle of the light that emerges from the polarizer?

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  • E

Q8:

Unpolarized light with an intensity of 2.4 W/m2 passes through a polarizer aligned at the angle 𝜃, 55 above the horizontal, as shown in the diagram. What is the intensity of the light transmitted through the polarizer?

Q9:

Vertically polarized light enters a vertically aligned polarizer placed in front of a diagonally aligned polarizer, which is placed in front of a horizontally aligned polarizer, as shown in the diagram. Which of the following diagrams correctly shows the polarization angle of the light that emerges from the horizontal polarizer?

  • A
  • B
  • C
  • D
  • E

Q10:

Unpolarized light enters a vertically aligned polarizer, as shown in the diagram. Which of the following diagrams correctly shows the polarization angle of the light that emerges from the polarizer?

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  • D
  • E

Q11:

Vertically polarized light with an intensity of 2.2 W/m2 passes through a polarizer aligned at the angle 𝜃, 25 from the vertical, as shown in the diagram. What is the intensity of the light transmitted through the polarizer?

Q12:

Unpolarized light enters a vertically aligned polarizer placed in front of a diagonally aligned polarizer, as shown in the diagram. Which of the following diagrams correctly shows the polarization angle of the light that emerges from the diagonal polarizer?

  • A
  • B
  • C
  • D
  • E

Q13:

Unpolarized light enters a vertically aligned polarizer placed in front of a diagonally aligned polarizer, which is in turn placed in front of a horizontally aligned polarizer, as shown in the diagram. Which of the following diagrams correctly shows the polarization angle of the light that emerges from the horizontal polarizer?

  • A
  • B
  • C
  • D
  • E

Q14:

Vertically polarized light enters a horizontally aligned polarizer, as shown in the diagram. Which of the following diagrams correctly shows the polarization angle of the light that emerges from the polarizer?

  • A
  • B
  • C
  • D
  • E

Q15:

Vertically polarized light enters a vertically aligned polarizer placed in front of a diagonally aligned polarizer, as shown in the diagram. Which of the following diagrams correctly shows the polarization angle of the light that emerges from the diagonal polarizer?

  • A
  • B
  • C
  • D
  • E

Q16:

Vertically polarized light enters a vertically aligned polarizer, as shown in the diagram. Which of the following diagrams correctly shows the polarization angle of the light that emerges from the polarizer?

  • A
  • B
  • C
  • D
  • E

Q17:

Unpolarized light enters a diagonally aligned polarizer, as shown in the diagram. Which of the following diagrams correctly shows the polarization angle of the light that emerges from the polarizer?

  • A
  • B
  • C
  • D
  • E

Q18:

Diagonally polarized light enters a diagonally aligned polarizer, as shown in the diagram. Which of the following diagrams correctly shows the polarization angle of the light that emerges from the polarizer?

  • A
  • B
  • C
  • D
  • E

Q19:

Unpolarized light enters a diagonally aligned polarizer, as shown in the diagram. Which of the following diagrams correctly shows the polarization angle of the light that emerges from the polarizer?

  • A
  • B
  • C
  • D
  • E

Q20:

Unpolarized light enters a vertically aligned polarizer placed in front of a horizontally aligned polarizer, as shown in the diagram. Which of the following diagrams correctly shows the polarization angle of the light that emerges from the horizontal polarizer?

  • A
  • B
  • C
  • D
  • E

Q21:

Unpolarized light traveling in air that has a refractive index of 1.00 reflects from water that has a refractive index of 1.33. At what angle from the normal to the surface of the water is the reflected light completely polarized?

Q22:

Unpolarized light passes through two polarizers that have polarization axes 33 apart from each other. The light has an initial intensity of 1.6 W/m2. What is the intensity of the light after it passes through both polarizers?

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