Question

What is the wavelength of a sound wave with a frequency of \( 500 \, \text{Hz} \) in air? (Take the speed of sound in air as \( 340 \, \text{m/s} \))

• A. \( 0.68 \, \text{m} \)
• B. \( 0.68 \, \text{cm} \)
• C. \( 1.7 \, \text{m} \)
• D. \( 1.5 \, \text{m} \)

Hint:

Remember: The wavelength of a wave is given by \( \lambda = \frac{v}{f} \), where \( v \) is the speed and \( f \) is the frequency.

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 given by the formula: \[ \lambda = \frac{v}{f} \] where:
- \( v \) is the speed of sound,
- \( f \) is the frequency of the wave.
Step 2: Substitute the given values
We are given:
- Speed of sound \( v = 340 \, \text{m/s} \),
- Frequency \( f = 500 \, \text{Hz} \).
Substitute these values into the formula: \[ \lambda = \frac{340}{500} = 0.68 \, \text{m} \] Answer: Therefore, the wavelength of the sound wave is \( 0.68 \, \text{m} \). So, the correct answer is option (1).