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A wave has a frequency of 15,500 Hz and a wavelength of 0.20 m. What is the speed of the wave? Use the equation [tex]\( v = f \times \lambda \)[/tex].

A. 3100 m/s
B. 78,000 m/s
C. 0.00032 m/s
D. 0.0000013 m/s

Sagot :

GinnyAnswer
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]
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