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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 $N$ photons per second. Imagine that Gracie is running toward George at a speed $v$.
Module 39: The Relativistic Doppler Effect – Problem 2
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Question 1 of 7
1. Question
From George’s perspective, what is the distance between each of the photons that are shooting toward Gracie?
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Question 2 of 7
2. Question
From George’s perspective, what is the time interval between Gracie receiving one photon and the next?
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Question 3 of 7
3. Question
From George’s perspective, how many photons does Gracie receive per second?
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Question 4 of 7
4. Question
From Gracie’s perspective, how many photons does George send out per second?
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Question 5 of 7
5. Question
From Gracie’s perspective, what is the distance between each successive photon that George fires?
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Question 6 of 7
6. Question
According to Gracie what is the time interval between the arrival of successive photons?
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Question 7 of 7
7. Question
According to Gracie, then, how many photons does she receive per second?
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