A wave is traveling through a medium. The velocity can be calculated using the equation v = f x λ. What is the velocity of a wave that has a frequency of 3,500 Hz and wavelength of 15.0 m?

52,500 Hz

52,500 m/s

7,000 Hz

233 m/s

1 answer

To find the velocity of the wave using the equation \( v = f \times \lambda \), where:

  • \( v \) is the velocity,
  • \( f \) is the frequency,
  • \( \lambda \) is the wavelength.

Given:

  • Frequency \( f = 3,500 , \text{Hz} \)
  • Wavelength \( \lambda = 15.0 , \text{m} \)

Now, substitute the values into the equation:

\[ v = 3,500 , \text{Hz} \times 15.0 , \text{m} \]

\[ v = 52,500 , \text{m/s} \]

So, the velocity of the wave is 52,500 m/s. Therefore, the correct answer is 52,500 m/s.