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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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