A sound wave travels at a speed of 340 m/s in air. What is the wavelength of a s

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Question: A sound wave travels at a speed of 340 m/s in air. What is the wavelength of a sound wave with a frequency of 680 Hz?

Options:

Correct Answer: 1 m

Solution:

Using the wave equation v = fλ, we can find the wavelength: λ = v/f = 340 m/s / 680 Hz = 0.5 m.

A sound wave travels at a speed of 340 m/s in air. What is the wavelength of a sound wave with a frequency of 680 Hz?

A sound wave travels at a speed of 340 m/s in air. What is the wavelength of a sound wave with a frequency of 680 Hz?

Step 1: Identify the speed of the sound wave, which is given as 340 meters per second (m/s).
Step 2: Identify the frequency of the sound wave, which is given as 680 hertz (Hz).
Step 3: Use the wave equation, which states that the speed (v) of a wave is equal to its frequency (f) multiplied by its wavelength (λ): v = f * λ.
Step 4: Rearrange the wave equation to solve for wavelength (λ): λ = v / f.
Step 5: Substitute the values into the equation: λ = 340 m/s / 680 Hz.
Step 6: Perform the division: 340 divided by 680 equals 0.5.
Step 7: Conclude that the wavelength of the sound wave is 0.5 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.
Wavelength Calculation – To find the wavelength, rearranging the wave equation to λ = v/f is essential.