Question

The speed of a wave is \( 30 \, \mathrm{m/s} \). If the distance between 11 crests is \( 1 \, \mathrm{m} \), what is the frequency (in Hz)?

• A. \( 300 \, \mathrm{Hz} \)
• B. \( 330 \, \mathrm{Hz} \)
• C. \( 350 \, \mathrm{Hz} \)
• D. \( 360 \, \mathrm{Hz} \)

Hint:

N/A

Answer 1

The Correct Option is A

The wavelength (\( \lambda \)) of a wave is the distance between two consecutive crests. When there are 11 crests, the distance between them corresponds to 10 wavelengths: \[ 10 \lambda = 1 \, \mathrm{m}. \] Thus, the wavelength is: \[ \lambda = \frac{1}{10} = 0.1 \, \mathrm{m}. \] The frequency (\( f \)) of a wave is given by the formula: \[ f = \frac{v}{\lambda}, \] where: \( v = 30 \, \mathrm{m/s} \) is the speed of the wave, \( \lambda = 0.1 \, \mathrm{m} \) is the wavelength. Substitute the values: \[ f = \frac{30}{0.1} = 300 \, \mathrm{Hz}. \] Thus, the frequency of the wave is \( \mathbf{300 \, \mathrm{Hz}} \).