QQuestionPhysics
QuestionPhysics
What is the formula to find the speed of light?
A. c=λ/f
B. c=λf
C. c=f / λ
D. c=λ2 / f
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Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Understand the Wave Equation
The speed of light (c) is related to wavelength (λ) and frequency (f) through a fundamental wave equation. This equation applies to all electromagnetic waves, including light.
Step 3:: Derive the Formula
- $$f$$ is the frequency
The relationship between wave speed, wavelength, and frequency is given by the fundamental wave equation: Where:
Step 4:: Verify the Correct Answer
c = \lambda f
Comparing the given options with the derived formula, we can see that option B matches the correct formula:
Step 5:: Explanation of the Formula
- The speed of light is a constant: $$c = 3 \times 10^{8} \mathrm{~m/s}
- The speed of light is equal to the wavelength multiplied by the frequency - This relationship holds true for all electromagnetic waves in a vacuum
Final Answer
B. c = \lambda f
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