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QuestionPhysics

How are the frequency and wavelength of light related?
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Answer

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Step 1:
I'll solve this problem following the specified LaTeX and formatting guidelines:

Step 2:
: Recall the Fundamental Relationship

c = f \lambda

Step 3:
: Rearrange the Equation

- $$\lambda$$ is wavelength (in meters, m)
We can rearrange this equation to express frequency in terms of wavelength: Where:

Step 4:
: Key Insights

- As wavelength increases, frequency decreases - As wavelength decreases, frequency increases - They are inversely proportional to each other

Final Answer

The frequency and wavelength of light are related by the equation f = \frac{c}{\lambda}, where they are inversely proportional to each other through the constant speed of light.