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QPage 457: Q7: HC Verma: Concepts of Physics - Volume 2 The Special Theory of Relativity Page 457: Q7 Solution: A charged particle is projected at a very high speed…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often assume that relativistic mass increase causes the radius of curvature to change over time, leading them to select spiral or varying radius options. However, since the magnetic force does no work, the particle's speed and relativistic mass remain constant, ensuring a fixed radius and a perfectly circular path.

A charged particle is projected at a very high speed perpendicular to a uniform magnetic field. The particle will ___________.

Multiple Choice Options

  • A move along a circle
  • B move along a curve with increasing radius of curvature
  • C move along a curve with decreasing radius of curvature
  • D move along a straight line

Step-by-Step Verified Solution

**Answer:** (a) move along a circle. **Step-by-Step Explanation:** In a uniform magnetic field, a charged particle moves in a circle even at relativistic speeds (radius changes but path is circular).

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