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: Apply the wave equation \[v = f \lambda\]Notation: - \( v \) represents wave velocity - \( f \) denotes frequency - \( \lambda \) signifies wavelengthProvided values: - Wavelength \( \lambda = 2 \, \text{m} \) - Velocity \( v = 4 \, \text{m/s} \)Isolate frequency \( f \) from the equation:\[f = \frac{v}{\lambda} = \frac{4}{2} = 2 \, \text{Hz}\]Result: The wave's frequency is thus \( 2 \, \text{Hz} \). This corresponds to option (1).