Question

A wave travels along a string with a frequency of 50 Hz and wavelength of 2 m. What is its speed?

• A. 25 m/s
• B. 50 m/s
• C. 100 m/s
• D. 200 m/s

Hint:

Use the wave speed formula \( v = f\lambda \) for all types of waves. Always ensure frequency is in hertz (Hz) and wavelength is in meters (m) to get speed in meters per second (m/s).

Answer 1

The Correct Option is C

The speed of a wave is determined by the formula:
\[ v = f \lambda \] where:
\( v \) represents the wave speed
\( f \) represents the wave frequency
\( \lambda \) represents the wavelength of the wave
Procedure:
Step 1: Identify known quantities
Frequency \( f = 50 \, \text{Hz} \)
Wavelength \( \lambda = 2 \, \text{m} \)
Step 2: Apply the formula
\[ v = 50 \times 2 = 100 \, \text{m/s} \]
Step 3: Conclusion
The wave travels at 100 meters per second. This indicates that any specific point on the wave, such as a crest, covers a distance of 100 meters within a one-second interval.