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QPage 457: Q1: The Special Theory of Relativity Solutions — HC Verma: Concepts of Physics - Volume 2
⚠️ Common Exam Traps & Conceptual Pitfalls
Students often incorrectly assume relativistic momentum is directly proportional to velocity ($p \propto v$) or the Lorentz factor alone, ignoring that $p = \frac{mv}{\sqrt{1-v^2/c^2}}$ is a non-linear function of $v$. Always verify proportionality by checking if the ratio $p/v$ remains constant, which it does not in relativity.
The magnitude of linear momentum of a particle moving at a relativistic speed is proportional to ____________.
Multiple Choice Options
- A
- B
- C
- D none of these
Step-by-Step Verified Solution
**Answer:** (d) none of these.
**Step-by-Step Explanation:**
Relativistic momentum p = _m_v. It is not simply proportional to v.
All Questions in this Chapter
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