Calculating Up-Doppler with 600nm Laser Scanning at 55m/s | Mega Sig Figs

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Homework Help Overview

The discussion revolves around calculating the up-Doppler effect for a 600 nm laser in the context of a motorcycle approaching a speed trap at 55 m/s. The original poster seeks clarification on the appropriate approach to this problem, particularly regarding the use of the speed of sound versus the speed of light.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to determine the up-Doppler effect by considering the speed of sound and questions whether to multiply the wavelength by the velocity of sound over the sum of the velocities. Some participants clarify that the speed of light should be used instead, leading to further confusion about the relevance of sound in this context.

Discussion Status

Participants are actively exploring the differences between sound and light waves in relation to the Doppler effect. There is a mix of understanding and confusion regarding the application of concepts from their current unit on sound to this optical scenario. Guidance has been provided regarding the use of the speed of light, but consensus on the approach has not been reached.

Contextual Notes

The original poster is working within a framework focused on sound waves, which may be influencing their understanding of the problem involving light waves. There is an emphasis on using significant figures in the calculations, as noted in the original question.

motherlovebone
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Okay, I don't need an answer . . . I just need to know how I would go about getting an answer.

Here is the question, exactly worded as on my worksheet:

"What is the up-doppler for a 600.0 nanometer laser scanning an innocent, law-abiding, safe-driving, tax-paying, completely innocent, God-fearing, innocent, motorcyclist closing this barely legal speed trap at a reasonable for conditions 198.00 km/hr? Use mega sig figs."

I converted km/hr into m/s and got 55 m/s for the speed of the motorcycle. Now, for the up-doppler, would I take the 600 nanometer and multiply it by the velocity of sound over the quantity (velocity sound + velocity of source)?

I am really confused.
 
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For electromagnet or optical sources the speed of sound is inmaterial. You would use the speed of light.
 
I don't understand that though . . . we are doing the unit on sound, so how would the speed of light be applicable?
 
Light travels as a wave, similar to sound.
You're doing a chapter on WAVES.
The Doppler effect occurs for water waves and string waves, too.
For most waves, it is important whether the SOURCE is moving, or whether the RECEIVER is moving.
In your case, the motorcycle is moving, the police car is not.
The motorcyclist receives waves of lambda, at a rate f = (c+v)/lambda.
If you want to treat the REFLECTED waves (as the police want to do),
the waves that the motorcyclist emits have lambda_back = (c+v)/f .
 

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