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A wave has a frequency of [tex]240 \, \text{Hz}[/tex] and a wavelength of [tex]3.0 \, \text{m}[/tex]. What is the speed of the wave? Use [tex]v = f \times \lambda[/tex].

A. [tex]720 \, \text{m/s}[/tex]
B. [tex]80 \, \text{m/s}[/tex]
C. [tex]240 \, \text{m/s}[/tex]
D. [tex]0.012 \, \text{m/s}[/tex]

Sagot :

GinnyAnswer
To determine the speed of the wave, we use the wave speed formula:

[tex]\[ v = f \times \lambda \][/tex]

Where:
- [tex]\( v \)[/tex] represents the speed of the wave,
- [tex]\( f \)[/tex] represents the frequency of the wave, and
- [tex]\( \lambda \)[/tex] represents the wavelength of the wave.

Given:
- The frequency ([tex]\( f \)[/tex]) is [tex]\( 240 \)[/tex] Hz,
- The wavelength ([tex]\( \lambda \)[/tex]) is [tex]\( 3.0 \)[/tex] meters.

Substitute the given values into the formula:

[tex]\[ v = 240 \, \text{Hz} \times 3.0 \, \text{m} \][/tex]

Multiplying these values gives:

[tex]\[ v = 720 \, \text{m/s} \][/tex]

Therefore, the speed of the wave is:

[tex]\[ \boxed{720 \, \text{m/s}} \][/tex]
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