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. \( 340 \, \text{m/s} \)
• B. \( 500 \, \text{m/s} \)
• C. \( 200 \, \text{m/s} \)
• D. \( 680 \, \text{m/s} \)

Hint:

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).

Answer 1

The Correct Option is A

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 \( 340 \, \text{m/s} \).