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Explain why length contraction does not affect the dimensions of an object measured in its own rest frame, and state the length contraction formula that relates the proper length to the contracted length.

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Question

Type

exam_style

Style

Topic

Special relativity

Exam-style question

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Explain why length contraction does not affect the dimensions of an object measured in its own rest frame, and state the length contraction formula that relates the proper length to the contracted length.

Model answer

What a good answer should say

  • In the object's rest frame, its proper length is measured directly and is not contracted.
  • Length contraction only occurs for observers in relative motion.
  • The formula is L = L0 sqrt(1 - v^2/c^2), where L0 is the proper length and L is the observed length.

Explanation

Why this works

This answer shows understanding of the concept that proper length is invariant in the rest frame, and correctly states the length contraction equation, testing the student's grasp of the relationship between proper and observed lengths.

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