Request for hard Relativity questions

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SUMMARY

The discussion centers on a sophomore preparing for an exam in Modern Physics, specifically focusing on chapters 1 and 2 of Sayer's 3rd Edition, which cover Relativity I and II. Key topics include time dilation, length contraction, the Doppler effect, and relativistic conservation of momentum and mass-energy equivalence. The student seeks challenging problems from alternative texts to enhance their preparation, as they feel confident but untested by difficult questions. The request emphasizes the need for higher-level questions that could be expected on the exam.

PREREQUISITES
  • Understanding of time dilation and length contraction concepts in relativity
  • Familiarity with the Doppler effect in the context of light and sound
  • Knowledge of relativistic conservation of momentum
  • Comprehension of mass-energy equivalence as described by Einstein's theory
NEXT STEPS
  • Research advanced problems in relativity from alternative physics textbooks
  • Explore the implications of the Doppler effect in astrophysics
  • Study examples of relativistic momentum calculations
  • Review past exam questions from Modern Physics courses for difficulty levels
USEFUL FOR

This discussion is beneficial for physics students, educators preparing exam materials, and anyone interested in deepening their understanding of relativity concepts and problem-solving techniques in Modern Physics.

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I don't know if this is the right forum. Please move it to a better suited one if it exists.

Basic info: I am a sophomore taking Modern Physics and will be having my first exam this thursday. I've solved a healthy amount of problems already, but I wouldn't mind being as prepared as possible. We are using Sayer's 3rd Edition of Modern Physics and will be tested on chapters 1 & 2, which are Relativity I and Relativity II. That doesn't offer much information... If you're not familiar with the book, chapter 1 covers time-dilation, length-contraction, the doppler effect and chapter 2 covers relativistic conservation of momentum and mass as energy.
I'm pretty comfortable with the material. This might be because I haven't been hit with a truly challenging problem yet. I don't expect the professor to put questions straight out of the book on the test, so I'm wondering if any of you have problems from alternative texts that relate well with this material. And, if you're extremely familiar with this class, what hard question would you yourself put on the test or expect to see on the test?
 
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