Question

What is the wavelength of a sound wave with a frequency of \( 500 \, \text{Hz} \) in air (speed of sound \( v = 343 \, \text{m/s} \))?

• A. \( 0.686 \, \text{m} \)
• B. \( 1.2 \, \text{m} \)
• C. \( 0.8 \, \text{m} \)
• D. \( 1.0 \, \text{m} \)

Hint:

The wavelength of a wave is calculated using \( \lambda = \frac{v}{f} \), where \( v \) is the speed of sound and \( f \) is the frequency of the wave.

Answer 1

The Correct Option is A

Step 1: Use the formula for the wavelength of a sound wave The wavelength \( \lambda \) of a wave is related to the speed of sound \( v \) and the frequency \( f \) by the formula: \[ \lambda = \frac{v}{f} \] Step 2: Substitute the given values Given: - Speed of sound \( v = 343 \, \text{m/s} \), - Frequency \( f = 500 \, \text{Hz} \). Substitute these values into the formula: \[ \lambda = \frac{343}{500} = 0.686 \, \text{m} \] Answer: Therefore, the wavelength of the sound wave is \( 0.686 \, \text{m} \). So, the correct answer is option (1).