MiSP Speed of Light and Sound Worksheet #3
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- Felicity Wade
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1 MiSP Speed of Light and Sound Worksheet #3 Comparing the Speed of Sound and the Speed of Light in Air and Water You have learned a number of differences between electromagnetic waves, like light, radio frequency and sound waves. One of these differences involves the ability to travel in a vacuum. 1. Can light travel in a vacuum?. Explain why or why not. 2. Can sound travel in a vacuum?. Explain why or why not. 3. There is also a difference in what happens to light and sound waves when they travel through different media. Complete the table below and then graph the data to see the difference. Time traveled Distance (m) traveled Sound in air Sound in water Light in air Light in water 0 seconds second ,000, ,500,000 2 second 3 second 4. Convert the distance data for the distance traveled by light into millions of meter rather than in meters. Place the new data in the table below. Time traveled Distance (m) traveled Distance (million m) traveled Sound in air Sound in water Light in air Light in water 0 seconds second second 3 second 1
2 5. Graph the data. Make one graph for sound and one for light. Plot distance on the y-axis and time on the x-axis. You will have two lines on each graph. Use different symbols or colors to show the data points for distance traveled in air and the data points for distance traveled in water. 6. Draw separate lines connecting the data points for air and for water on both of your graphs. Make a legend for your graphs. 2
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5 Analysis 1. For each of the lines on your sound and light graphs, pick an ordered pair and calculate the unit rate of change. Unit rate of change = y = (y 2 - y 1 ) = distance x (x 2 - x 1 ) time SOUND Ordered Pair (x 1, y 1 ) (x 2, y 2 ) Difference in distance ( meters) Differences in Time (sec) Difference in distance Difference in time Sound in air Sound in water LIGHT Ordered Pair (x 1, y 1 ) (x 2, y 2 ) Difference in distance ( millions of meters) Differences in Time (sec) Difference in distance Difference in time Light in air Light in water 5
6 2. Speed = distance time. On your graph this is the unit rate of change (slope) or y / x. What is the a. Speed of sound in air: b. Speed of sound in water: c. Speed of light in air: d. Speed of light in water: 3. The equation for a line is y = mx + b, where m is the unit rate of change (slope) and b is the y-intercept. Use the slope you just calculated and one ordered pair from each of your lines to find the y-intercept for each line. The write the equation for each line. Y Intercept for Sound in Air m = Ordered pair (x, y) = (, ) y = mx +b Solve for b: Y Intercept for Sound in Water m = Ordered pair (x, y) = (, ) y = mx +b Solve for b: Equation for the line: Equation for the line: Y Intercept for Light in Air m = Ordered pair (x, y) = (, ) y = mx +b Solve for b: Y Intercept for Light in Water m = Ordered pair (x, y) = (, ) y = mx +b Solve for b: Equation for the line: Equation for the line: 6
7 4. How long it would take for sound produced at the surface of the ocean to reach a submarine one mile below the surface? (One mile = about 1610 m). Use your graph to estimate the time needed. Calculate the time needed using your equation for sound in water. Show your work. 5. How long would it take for the sound to travel a mile in the air? Use your graph to estimate the time needed. Calculate the time needed using your equation for sound in air. Show your work. 6. How long would it take for a light signal to reach the submarine? Use your graph to estimate the time needed. Calculate the time needed using your equation for light in water. Show your work. 7
8 7. How long does it take light to travel a mile in air? Use your graph to estimate the time needed. Calculate the time needed using your equation for light in air. 8. Using what you know about the differences between electromagnetic waves and mechanical waves, write a possible explanation for the difference between sound and light when they travel in air and water. 8
9 Extension Your calculation for the speed of sound in the ocean is undoubtedly inaccurate because the ocean is salt water, not pure water. Based on what you know about the density of salt water compared to pure water, would you predict that sound would travel faster or slower in salt water compared to pure water? Explain your answer 9
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