Special Relativity: Doppler Effect?

Dec 7, 2013

mintsnapple

Homework Statement

Homework Equations

Shown below

The Attempt at a Solution

I know I probably did something wrong...but what?

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Dec 7, 2013

mfb

Mentor

Insights Author

Solving for v went wrong. As you did not provide steps of this, I cannot tell what exactly.

Dec 7, 2013

mintsnapple

Ahhhh! I subtracted by 550 by accident. However, is my procedure correct?

Dec 7, 2013

mfb

Mentor

Insights Author

Looks correct.

Dec 7, 2013

mintsnapple

How does this look?

Dec 8, 2013

mfb

Mentor

Insights Author

Looks good.
Certainly the fine for the red light would have been cheaper.

What is the Doppler effect in special relativity?

The Doppler effect in special relativity is a phenomenon in which there is a change in the observed frequency of a wave due to the relative motion between the source of the wave and the observer. It is a consequence of the principles of relativity and can affect both electromagnetic and sound waves.

Can the Doppler effect in special relativity be observed in everyday life?

Yes, the Doppler effect in special relativity is observed in everyday life in various forms. For example, the change in pitch of a siren of a moving ambulance, the redshift of light from distant galaxies due to the expansion of the universe, and the color change of stars in binary systems are all examples of the Doppler effect in special relativity.

How is the Doppler effect in special relativity used in scientific research?

The Doppler effect in special relativity is an important tool in scientific research, especially in astronomy. By studying the redshift of light from distant objects, scientists can determine the velocity and direction of their motion. This information helps in understanding the structure and evolution of the universe.

What is the formula for calculating the Doppler effect in special relativity?

The formula for calculating the Doppler effect in special relativity is given by f' = f (1 ± v/c), where f is the original frequency, f' is the observed frequency, v is the relative velocity between the source and observer, and c is the speed of light. The ± sign is used for approaching and receding objects, respectively.