Exam-style question
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Why does the Lorentz factor γ appear in the transformation of time between frames?.
- A.To account for gravitational time dilation.
- B.To adjust for different clock rates due to motion.
- C.To mix spatial and temporal coordinates, affecting simultaneity.
- D.To correct for measurement errors.
Model answer
What a good answer should say
- To mix spatial and temporal coordinates, affecting simultaneity.
Explanation
Why this works
Cause: The requirement that the speed of light remains constant. Mechanism: γ scales the time component and couples it with spatial separation, producing a mixed term.
Effect: The time coordinate in one frame depends on both time and space from another. Consequence: Simultaneity varies between inertial observers.
Common mistake
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