Verified Solution • 2025–26 Session moderate

QPages 229-230: Q8: HC Verma: Concepts of Physics - Volume 2 Magnetic Field Pages 229-230: Q8 Solution: Two ions have equal masses but one is singly-ionised and the…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often reverse the $r=\frac{mv}{qB}$ relationship, assuming a larger charge gives a larger circular path; remember the radius is inversely proportional to $q$, so the doubly‑ionised ion traces the smaller circle while both circles still pass through the common launch point.

Two ions have equal masses but one is singly-ionised and the other is doubly-ionised. They are projected from the same place in a uniform magnetic field with the same velocity perpendicular to the field.

Multiple Choice Options

  • A Both ions will move along circles of equal radii.
  • B The circle described by the singly-ionised charge will have a radius that is double that of the other circle.
  • C The two circles do not touch each other.
  • D The two circles touch each other.

Step-by-Step Verified Solution

**Answer:** (b), (d). **Step-by-Step Explanation:** r = mv/(qB). The singly-ionised ion has half the charge, so double the radius (b). The two circles touch each other at the point of projection (d).

All Questions in this Chapter

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