Practice Speed of Light in Physics

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

Quick Recap

The speed of light is the speed at which electromagnetic waves travel in a vacuum. It is one of the most important constants in physics.

Light moves incredibly fast, but not infinitely fast.

Showing a random 20 of 50 problems.

Example 1

medium
How long does a signal take to travel 36000 km to a geostationary satellite (one-way)?

Example 2

easy
Light travels through a vacuum. What is its speed?

Example 3

easy
In vacuum, do red light and blue light travel at the same speed?

Example 4

medium
Blue light has vacuum wavelength λ0=450 nm. Find its wavelength in glass with n=1.52.

Example 5

medium
Compare light speed in vacuum vs. diamond (n=2.42). Find the speed ratio.

Example 6

easy
Green light has wavelength λ=5.0×10−7 m in vacuum. Find its frequency.

Example 7

challenge
An observer measures light from a fast-moving spaceship's headlight. The ship moves at 0.5c toward the observer. What speed does the observer measure for the light?

Example 8

medium
A pulse must travel 500 m through a fiber with n=1.45. Find the travel time.

Example 9

challenge
A pulse must travel 300 m through air (n≈1) then 200 m through glass (n=1.5). Find the total time. Use c=3.0×108 m/s.

Example 10

hard
Light slowed to v=1.5×108 m/s in a medium has the same vacuum wavelength of 600 nm. Find the wavelength in the medium.

Example 11

easy
Light from the Moon takes about 1.28 s to reach Earth. Find the Earth-Moon distance.

Example 12

hard
Earth's circumference is about 4.0×107 m. How many times can light circle Earth per second (in vacuum)?

Example 13

medium
A green laser has vacuum wavelength 532 nm. Find its frequency.

Example 14

easy
Fill in the blank: in vacuum, X-rays travel at ____ m/s.

Example 15

easy
Is the speed of light in vacuum the same for all observers?

Example 16

challenge
A round-trip light-pulse experiment over 2L=600 m in air gives t=2.00×10−6 s. From this, estimate c.

Example 17

medium
A signal travels 1.5 AU between Earth and Mars (closest approach). Time in minutes?

Example 18

medium
Which has higher frequency in vacuum: red light or blue light?

Example 19

easy
How long does light take to travel 3.0×108 m in vacuum?

Example 20

easy
A laser pulse travels through vacuum for 5.0×10−9 s. How far does it go? Use c=3.00×108 m/s.