Is My Understanding of Basic Relativity Concepts Correct?

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Homework Help Overview

The discussion revolves around basic concepts of relativity, specifically focusing on the relativistic Doppler effect, time dilation, and length contraction. The original poster presents several questions related to these topics to verify their understanding before advancing in their studies.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply length contraction to questions about light wavelength shifts and relative speeds. They also inquire about the relativistic Doppler effect and its relation to their questions.

Discussion Status

Some participants have provided clarifications regarding the nature of the relativistic Doppler effect, indicating that certain questions cannot be treated solely with length contraction. There is an ongoing exploration of the relationships between wavelength shifts and relative velocities.

Contextual Notes

The original poster expresses a desire to refresh their knowledge of relativity concepts before starting a new course, indicating a potential time constraint in their study efforts.

fasterthanjoao
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Right.

Some simple questions, I want to make sure I'm not making stupid mistakes before moving on. I have the questions and my answers, If you tell me that I got them incorrect, i'll run through my working or something (if there could be any..).

1/ How fast must you travel towards a red light (650nm) for it to appear green (525nm)?

Can this just be treated as length contraction?

My Answer: 1.78x10^8m/s.

2/ How great must the relative speed of two observers be for their time-interval measurements to differ by 1%?

My answer: 4.2x10^7m/s.

3/ A distant galaxy is moving away from the Earth such that each wavelength is shifted by a factor of two; what is the speed of the galaxy relative to us?

can this just be treated via length contracion?

4/ A particle moves north at 0.8c, what is this particles speed as measured by an observed traveling south relative to the Earth at 0.5c?

5/Two spaceships of proper length 100m are traveling towards each other, each at a speed of 0.8c, measured on earth.
(i) how long is each ship as measured by the terrestial observer?
(ii)how long is earch ship when measured from the rest-frame of the other?


Thats all the questions I have just now. My idea is that, since I haven't done relativity for ages I should try to brush up on this simple stuff before my new course starts. tomorrow I'm hitting the library for a textbook, sigh.
 
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fasterthanjoao said:
1/ How fast must you travel towards a red light (650nm) for it to appear green (525nm)?

Can this just be treated as length contraction?
No. This, and #3, are examples of the relativistic Doppler effect.
 
Doc Al said:
relativistic Doppler effect.

I'm remembering something about the redshift parameter (z) being the change in wavelength over the 'rest'-wavelength?

I think I've followed on from that:

v/c = ((z+1)^2 - 1)/((z+1)^2 + 1)?

is that what I'm looking for? thanks for the response by the way.

(+sorry for the lack of `tex, I'm on the verge of not thinking straight enough to use it.)
 

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