Question

What is the frequency of a wave with a wavelength of \( 2 \, \text{m} \) and a velocity of \( 4 \, \text{m/s} \)?

• A. \( 2 \, \text{Hz} \)
• B. \( 0.5 \, \text{Hz} \)
• C. \( 1 \, \text{Hz} \)
• D. \( 4 \, \text{Hz} \)

Hint:

Always remember the formula: \( v = f \lambda \) for waves. If you know any two quantities (velocity, frequency, wavelength), you can solve for the third.

Answer 1

The Correct Option is A

Step 1: Use the wave equation \[ v = f \lambda \] Where: - \( v \) is the velocity of the wave - \( f \) is the frequency - \( \lambda \) is the wavelength Given: - Wavelength \( \lambda = 2 \, \text{m} \) - Velocity \( v = 4 \, \text{m/s} \) Rearrange the formula to solve for frequency \( f \): \[ f = \frac{v}{\lambda} = \frac{4}{2} = 2 \, \text{Hz} \] Answer: Therefore, the frequency of the wave is \( 2 \, \text{Hz} \). So, the correct answer is option (1).