Verified Solution • 2025–26 Session moderate

QPages 248-249: Q8: HC Verma: Concepts of Physics - Volume 2 Magnetic Field Due to a Current Pages 248-249: Q8 Solution: A particle is projected in a plane perpendicular to a uniform…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often see the radius formula $r=\frac{mv}{qB}$ and conclude the area $A=\pi r^2$ is simply proportional to $p=mv$, overlooking that the squaring introduces a $p^2$ dependence. Remember: $A\propto(p)^2\propto v^2$, so the correct proportional quantity is the square of momentum (or kinetic energy), not momentum itself.

A particle is projected in a plane perpendicular to a uniform magnetic field. The area bounded by the path described by the particle is proportional to

Multiple Choice Options

  • A the velocity
  • B the momentum
  • C the kinetic energy
  • D none of these.

Step-by-Step Verified Solution

**Answer:** (b) the momentum. **Step-BY-Step Explanation:** The area of the circular path is A = �r_ = �(mv/qB)_ _ p_. So area is proportional to the square of momentum. Among the options, momentum is the relevant quantity.

All Questions in this Chapter

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