World Science Scholars
39.6 The Relativistic Doppler Effect
problems
Problem

Module 39: The Relativistic Doppler Effect - Problem 2

I derived the Relativistic Doppler Shift formula for light waves, and noted that the same formula has to apply to rates associated with a series of light flashes. Here, you’ll work that out explicitly. To that end, imagine that George is firing photons toward Gracie at a rate of NN photons per second. Imagine that Gracie is running toward George at a speed vv.

  1. 1. Question

    From George's perspective, what is the distance between each of the photons that are shooting toward Gracie?

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  2. 2. Question

    From George's perspective, what is the time interval between Gracie receiving one photon and the next?

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  3. 3. Question

    From George's perspective, how many photons does Gracie receive per second?

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  4. 4. Question

    From Gracie's perspective, how many photons does George send out per second?

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  5. 5. Question

    From Gracie's perspective, what is the distance between each successive photon that George fires?

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  6. 6. Question

    According to Gracie what is the time interval between the arrival of successive photons?

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  7. 7. Question

    According to Gracie, then, how many photons does she receive per second?

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