A sound wave travels through air at a speed of 340 m/s. If the wavelength is 0.8

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Question: A sound wave travels through air at a speed of 340 m/s. If the wavelength is 0.85 m, what is the frequency? (2022)

Options:

Correct Answer: 400 Hz

Exam Year: 2022

Solution:

Frequency (f) = speed (v) / wavelength (λ) = 340 m/s / 0.85 m ≈ 400 Hz.

A sound wave travels through air at a speed of 340 m/s. If the wavelength is 0.85 m, what is the frequency? (2022)

A sound wave travels through air at a speed of 340 m/s. If the wavelength is 0.85 m, what is the frequency? (2022)

Step 1: Identify the speed of the sound wave, which is given as 340 meters per second (m/s).
Step 2: Identify the wavelength of the sound wave, which is given as 0.85 meters (m).
Step 3: Use the formula for frequency, which is Frequency (f) = Speed (v) / Wavelength (λ).
Step 4: Plug in the values into the formula: f = 340 m/s / 0.85 m.
Step 5: Calculate the result: 340 divided by 0.85 equals approximately 400.
Step 6: Conclude that the frequency of the sound wave is approximately 400 Hertz (Hz).

Wave Properties – Understanding the relationship between speed, frequency, and wavelength of sound waves.
Formula Application – Applying the formula f = v / λ to calculate frequency from given speed and wavelength.