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11th grade Polarization of light worksheet

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Polarization of light

Grade 11 Science Worksheet

NameDate

Circle the best answer, or write your answer on the line.

  1. Unpolarized light of 200 W/m² passes two filters whose slots are 30° apart. How intense is the light after both, Ari?

  2. Unpolarized light of 120 W/m² passes two filters whose slots are 60° apart. How intense is the light after both, Bo?

  3. Unpolarized light of 80 W/m² passes two filters whose slots are 45° apart. How intense is the light after both, Esme?

  4. Using the table, why does 30° give 60 W/m², Kira?

    • 80 × cos 30° = 60
    • 80 − 30 + 10 = 60
    • 80 × cos² 30° = 60
  5. Using the table, why does 60° give 20 W/m², Luz?

    Use the picture in question 4.

    • 80 ÷ 4 since 60 is 4 × 15
    • 80 × cos² 60° = 20
    • 80 × cos 60° = 20
  6. Two filters are crossed at 90°. How much light gets through both, Milo?

    • Half
    • No light
    • A quarter
  7. A third filter at 45° is slipped between two crossed filters. What happens, Noah?

    • More light than before any filters
    • Some light gets through
    • Still no light
  8. Two filters have their slots lined up. What fraction of the light from the first passes the second, Pia?

    • None of it
    • All of it
    • Half of it
  9. Light reflected off a lake is mostly polarized in which direction, Ren?

    • Horizontally
    • Vertically
    • In many directions at once
  10. Which way should the slots in polarized sunglasses run to block glare off water, Tala?

    • Up and down
    • At random
    • Side to side
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11th grade Polarization of light worksheet – printable
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About this worksheet

Polarization of light. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can use Malus's law, I = I₀ cos² θ, for polarized light through a filter.
  • I can find the light through two filters from unpolarized light: half after the first, then cos² θ.
  • I can work backwards to the angle, θ = cos⁻¹ √(I ÷ I₀), and handle three filters step by step.
  • I can explain why only transverse waves (light, not sound) can be polarized, and how sunglasses, 3-D glasses and LCD screens use it.

Standard: none (TX)

Words to know

polarized: Light vibrating in one direction only

unpolarized: Light vibrating in many directions, like sunlight or a bulb's

filter (polarizer): A sheet that passes only light vibrating along its slots

crossed: Two filters with slots at 90° to each other

transverse: A wave vibrating across its direction of travel

Common mistakes

Your child used cos θ, not cos² θ. Malus's law squares the cosine: I = I₀ cos² θ.

Your child skipped the first halving. A filter passes half of unpolarized light before Malus's law applies.

Your child left out the square root. From I = I₀ cos² θ, cos θ = √(I ÷ I₀).

Questions parents ask

What is the most common mistake with polarization of light?

Your child used cos θ, not cos² θ. Malus's law squares the cosine: I = I₀ cos² θ.

Are these 11th grade science worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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