39.5 The Relativistic Doppler Effect

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Module 39: The Relativistic Doppler Effect - Problem 1

In this problem, you will work out the general Doppler Shift result for those velocities that yield particularly simple answers. To that end, let $A^2 + B^2 = C^2$ for three integers $(A, B, C)$ .

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1. Question
If two observers are moving apart at speed $v = {A \over C} c$ , while each sends the other a flash once per year, what is the rate at which the flashes are received? What's the answer if they are moving toward one another at $v = {A \over C} c$ ?
- 1. ${ C - A \over B}$ when racing apart, ${ B \over C - A}$ when approaching
- 2. ${ C \over A + B}$ when racing apart, ${ C \over A + B}$ when approaching
- 3. ${ B \over C - A}$ when racing apart, ${ B \over A + C}$ when approaching
- 4. ${ A \over B + C}$ when racing apart, ${ C \over A + B}$ when approaching
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Module 39: The Relativistic Doppler Effect - Problem 1

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