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A sound wave travels at a speed of 340 m/s. If its frequency is 170 Hz, what is
Practice Questions
Q1
A sound wave travels at a speed of 340 m/s. If its frequency is 170 Hz, what is its wavelength?
0.5 m
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Questions & Step-by-Step Solutions
A sound wave travels at a speed of 340 m/s. If its frequency is 170 Hz, what is its wavelength?
Steps
Concepts
Step 1: Understand the wave equation, which is v = fλ. Here, v is the speed of the wave, f is the frequency, and λ (lambda) is the wavelength.
Step 2: Identify the values given in the question. The speed (v) is 340 m/s and the frequency (f) is 170 Hz.
Step 3: Rearrange the wave equation to solve for wavelength (λ). The formula becomes λ = v / f.
Step 4: Substitute the values into the formula. So, λ = 340 m/s / 170 Hz.
Step 5: Perform the division. 340 divided by 170 equals 2.
Step 6: Conclude that the wavelength (λ) is 2 meters.
Wave Equation
– The relationship between the speed of a wave (v), its frequency (f), and its wavelength (λ) is given by the equation v = fλ.
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