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QPage 457: Q12: HC Verma: Concepts of Physics - Volume 2 The Special Theory of Relativity Page 457: Q12 Solution: A rod of rest length L moves at a relativistic speed. Let . Its …

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often assume length contraction applies to the entire object regardless of orientation, forgetting that only the component parallel to the velocity vector contracts. If the rod is oriented perpendicular to the motion, its length remains $L$, which is greater than $L'$, and if it is at an angle, the length lies between $L'$ and $L$.

A rod of rest length L moves at a relativistic speed. Let L′=L/γL' = L/\gamma. Its length

Multiple Choice Options

  • A must be equal to L′L'
  • B may be equal to LL
  • C may be more than L′L' but less than LL
  • D may be more than LL

Step-by-Step Verified Solution

**Answer:** (c), (d). **Step-by-Step Explanation:** The length may be more than L' but less than L (c) depending on orientation, or more than L (d) if oriented perpendicular to motion.

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