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QPage 229: Q9: HC Verma: Concepts of Physics - Volume 2 Magnetic Field Page 229: Q9 Solution: A particle moves in a region with a uniform magnetic field and…
⚠️ Common Exam Traps & Conceptual Pitfalls
Students often assume the path is a helix with uniform pitch by focusing only on the magnetic force, neglecting that the parallel electric field accelerates the particle along the field axis. This acceleration increases the axial velocity over time, causing the pitch to expand rather than remain constant.
A particle moves in a region with a uniform magnetic field and a parallel, uniform electric field. At some instant, the velocity of the particle is perpendicular to the field direction. The path of the particle will be
Multiple Choice Options
- A a straight line
- B a circle
- C a helix with uniform pitch
- D a helix with non-uniform pitch
Step-by-Step Verified Solution
**Answer:** (d) a helix with non-uniform pitch.
**Step-by-Step Explanation:**
With both electric and magnetic fields parallel, the electric field accelerates the particle along the field direction, making the pitch non-uniform.
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