Practice Polarization in Physics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Polarization is the restriction of a transverse wave's oscillations to one direction or plane.

A polarizing filter only lets through certain vibration directions.

Showing a random 20 of 50 problems.

Example 1

challenge
Unpolarized light I0 passes N polarizers, each rotated by 90∘/N from the previous. Derive the output intensity for N=5 and compare with the crossed case (N=2).

Example 2

medium
Polarized light enters a polarizer and 1/3 of the intensity emerges. Find the angle θ.

Example 3

medium
Find Brewster's angle for light going from air (n1=1.00) into water (n2=1.33).

Example 4

easy
Vertically polarized light hits a polarizer rotated 90∘ from vertical. Find the transmitted intensity in terms of I0.

Example 5

medium
Linearly polarized light of intensity I0 hits a polarizer at θ=30∘ to its polarization. Find I.

Example 6

hard
Polarized light of intensity I0 passes a single polarizer; the output is 0.4 I0. Find the angle θ to one decimal place.

Example 7

easy
Light is already polarized vertically and hits a polarizer with a vertical axis. How much passes?

Example 8

hard
A photographer uses a circular polarizer to deepen the blue sky. Why is sky light partially polarized?

Example 9

challenge
Unpolarized light I0 passes three polarizers at 0∘, 30∘, and 60∘ (each angle relative to the previous). Find the final intensity.

Example 10

easy
Polarization restricts a wave's oscillations to one direction. What type of wave can be polarized?

Example 11

easy
Unpolarized light of intensity 80 W/m2 passes a single ideal polarizer. Find the transmitted intensity.

Example 12

easy
Two ideal polarizers are aligned with each other and unpolarized light I0 enters. What intensity emerges?

Example 13

medium
Light passes two polarizers and the output is 0.10 I0 when the input was polarized along the first polarizer's axis. Find the angle θ between the polarizers.

Example 14

easy
Polarized sunglasses block glare from a wet road. The reflected glare is mostly polarized in which orientation?

Example 15

easy
Can a longitudinal sound wave in air be polarized?

Example 16

medium
A 200 W/m^2 unpolarized beam passes through two ideal polarizers, the second at 60∘ to the first. Find the final intensity.

Example 17

medium
Polarized light I0 at 45∘ to a polarizer. Find the transmitted intensity.

Example 18

hard
Find Brewster's angle for light passing from water (n1=1.33) into glass (n2=1.52).

Example 19

challenge
Polarized light passes two polarizers. The first is aligned with the light; the second is at angle θ. The final intensity is 3I0/8. Find θ.

Example 20

easy
Polarization restricts oscillations of a wave to one direction. Which mathematical law describes the intensity through an ideal polarizer when the input is linearly polarized at angle θ to the axis?