QQuestionPhysics
QuestionPhysics
"Which equations are used to calculate the velocity of a wave?
A. velocity = distance × time
B. velocity = wavelength × frequency
C. velocity = distance/time
D. velocity = wavelength/frequency"
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Understand Wave Velocity Equation
The velocity of a wave is determined by the relationship between wavelength and frequency. This is a fundamental equation in wave physics.
Step 3:: Analyze the Wave Velocity Formula
- $$\lambda$$ (lambda) is the wavelength
The correct equation for wave velocity is: Where:
Step 4:: Examine the Given Options
D. $$velocity = wavelength/frequency$$ - Incorrect
B. velocity = wavelength \times frequency - Correct ✓
Step 5:: Verify the Correct Equation
The equation $$v = f \lambda$$ is equivalent to "wavelength × frequency" as stated in option B.
Final Answer
Key Insights: - Wave velocity depends on the wavelength and frequency - The units will be consistent: (meters/second) = (cycles/second) × (meters/cycle) - This equation applies to all types of waves, including sound, light, and mechanical waves
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