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QPage 457: Q10: HC Verma: Concepts of Physics - Volume 2 The Special Theory of Relativity Page 457: Q10 Solution: Two events take place simultaneously at points A and B as seen…
⚠️ Common Exam Traps & Conceptual Pitfalls
In the Lorentz time transformation $t'=gamma!left(t-rac{v,x}{c^{2}} ight)$, only the component of the spatial separation along the relative velocity $v$ contributes to the time difference. If the two events are separated perpendicular to $v$, then $x=0$ and $t'=t$, so simultaneity is preserved. Students often overlook this and assume any non‑zero relative velocity will spoil simultaneity.
Two events take place simultaneously at points A and B as seen in the lab frame. They also occur simultaneously in a frame moving with respect to the lab in a direction ________________.
Multiple Choice Options
- A parallel to AB
- B perpendicular to AB
- C making an angle of 45� with AB
- D making an angle of 135� with AB
Step-by-Step Verified Solution
**Answer:** (b) perpendicular to AB.
**Step-by-Step Explanation:**
Simultaneity is absolute only for events separated perpendicular to the motion.
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