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What is the relationship between the frequency and wavelength of a wave?
What is the relationship between the frequency and wavelength of a wave?
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Practice Questions
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Q1
What is the relationship between the frequency and wavelength of a wave?
Frequency = Wavelength × Speed
Wavelength = Speed / Frequency
Speed = Frequency × Wavelength
All of the above
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The relationship is given by the equation Speed = Frequency × Wavelength, which can be rearranged to show the other relationships.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the relationship between the frequency and wavelength of a wave?
Solution:
The relationship is given by the equation Speed = Frequency × Wavelength, which can be rearranged to show the other relationships.
Steps: 6
Show Steps
Step 1: Understand that waves travel through space and have two important characteristics: frequency and wavelength.
Step 2: Frequency is how many waves pass a point in one second, measured in Hertz (Hz).
Step 3: Wavelength is the distance between two consecutive points of the wave, like from one peak to the next peak.
Step 4: The speed of a wave is how fast it travels, and it can be calculated using the formula: Speed = Frequency × Wavelength.
Step 5: If you know the speed of the wave, you can find the frequency if you know the wavelength, or vice versa.
Step 6: Rearranging the formula gives you: Frequency = Speed / Wavelength and Wavelength = Speed / Frequency.
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