Sure, let's solve this step-by-step.
We are given:
- Frequency ([tex]\(f\)[/tex]) = 15,500 Hz
- Wavelength ([tex]\(\lambda\)[/tex]) = 0.20 meters
The equation to find the speed of a wave ([tex]\(v\)[/tex]) is given by:
[tex]\[ v = f \times \lambda \][/tex]
Now, let's plug in the given values into the equation:
[tex]\[ v = 15,500 \, \text{Hz} \times 0.20 \, \text{m} \][/tex]
Multiplying these values:
[tex]\[ v = 3100 \, \text{m/s} \][/tex]
Thus, the speed of the wave is:
[tex]\[ v = 3100 \, \text{m/s} \][/tex]
Based on the given choices, the correct answer is:
A. [tex]\(3100 \, \text{m/s}\)[/tex]
