Question

What is the wavelength of a sound wave that has a frequency of \( 500 \, \text{Hz} \) and travels at a speed of \( 343 \, \text{m/s} \)?

• A. \( 0.5 \, \text{m} \)
• B. \( 1.0 \, \text{m} \)
• C. \( 2.0 \, \text{m} \)
• D. \( 3.0 \, \text{m} \)

Hint:

The wavelength of a wave is inversely proportional to its frequency. Use \( \lambda = \frac{v}{f} \) to find the wavelength of sound or any wave when the speed and frequency are known.

Answer 1

The Correct Option is B

The wavelength \( \lambda \) of a wave is related to its speed \( v \) and frequency \( f \) by the equation: \[ \lambda = \frac{v}{f} \] Where: - \( v = 343 \, \text{m/s} \) (speed of sound), - \( f = 500 \, \text{Hz} \) (frequency). Substitute the known values: \[ \lambda = \frac{343}{500} = 0.686 \, \text{m} \] Thus, the wavelength of the sound wave is \( 0.686 \, \text{m} \).