Which equation shows how wavelength is related to velocity and frequency?
A. [tex]$\lambda=v \times f$[/tex]
B. [tex]$\lambda=\frac{v}{f}$[/tex]
C. [tex]$\lambda=\frac{f}{v}$[/tex]
D. [tex]$\lambda=v+f$[/tex]
Answer (2)
The correct equation that shows the relationship between wavelength, velocity, and frequency is λ = f v . Therefore, the answer is option B.
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The problem requires identifying the correct equation relating wavelength, velocity, and frequency.
Recall the formula: λ = f v .
Compare the formula with the given options.
The correct equation is λ = f v .
Explanation
Understanding the Problem The question asks us to identify the correct equation that relates wavelength, velocity, and frequency from the given options.
Recalling the Formula The relationship between wavelength ( λ ), velocity ( v ), and frequency ( f ) is given by the equation: λ = f v where:
λ represents the wavelength,
v represents the velocity, and
f represents the frequency.
Identifying the Correct Option Comparing the derived equation with the given options, we find that option B matches the correct relationship.
Conclusion Therefore, the correct answer is option B.
Examples
Understanding the relationship between wavelength, velocity, and frequency is crucial in various fields such as telecommunications, music, and medical imaging. For example, in telecommunications, the frequency of a radio wave determines its wavelength, which affects its ability to penetrate obstacles and travel long distances. Similarly, in music, the frequency of a sound wave determines its pitch, while the wavelength affects the sound's perceived quality. In medical imaging, different frequencies of ultrasound waves are used to create images of different depths and resolutions within the body. Knowing the correct formula allows engineers and scientists to design and optimize these technologies for specific applications.
