A sound wave travels at a speed of 340 m/s in air. If its frequency is 1700 Hz,

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Question: A sound wave travels at a speed of 340 m/s in air. If its frequency is 1700 Hz, what is its wavelength?

Options:

Correct Answer: 0.5 m

Solution:

Using the wave equation v = fλ, we can find the wavelength: λ = v/f = 340 m/s / 1700 Hz = 0.2 m.

A sound wave travels at a speed of 340 m/s in air. If its frequency is 1700 Hz, what is its wavelength?

A sound wave travels at a speed of 340 m/s in air. If its frequency is 1700 Hz, what is its wavelength?

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 of the sound wave (v) is 340 m/s and the frequency (f) is 1700 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 / 1700 Hz.
Step 5: Perform the division. Calculate 340 divided by 1700, which equals 0.2 m.
Step 6: Conclude that the wavelength of the sound wave is 0.2 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.
Units of Measurement – Understanding the units of speed (m/s), frequency (Hz), and wavelength (m) is crucial for solving wave problems.