Question:
A sound wave travels through air with a frequency of 500 Hz and a wavelength of 0.68 m. Calculate the speed of sound in air.
A sound wave travels through air with a frequency of 500 Hz and a wavelength of 0.68 m. Calculate the speed of sound in air.
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When calculating the speed of a wave, simply multiply its frequency by its wavelength. The unit of frequency is Hz (hertz), and the unit of wavelength is meters (m).
Updated On: Apr 15, 2025
- \( 340 \, \text{m/s} \)
- \( 500 \, \text{m/s} \)
- \( 200 \, \text{m/s} \)
- \( 680 \, \text{m/s} \)
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The Correct Option is A
Solution and Explanation
We can use the formula for the speed of a wave:
\[
v = f \lambda
\]
Where:
- \( v \) is the speed of sound,
- \( f = 500 \, \text{Hz} \) is the frequency,
- \( \lambda = 0.68 \, \text{m} \) is the wavelength.
Substitute the values:
\[
v = 500 \times 0.68 = 340 \, \text{m/s}
\]
Thus, the speed of sound in air is \( 340 \, \text{m/s} \).
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