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QPage 229: Q5: HC Verma: Concepts of Physics - Volume 2 Magnetic Field Page 229: Q5 Solution: Which of the following particles will have minimum frequency of …

⚠️ Common Exam Traps & Conceptual Pitfalls

When comparing cyclotron frequencies, remember $f=\frac{|q|B}{2\pi m}$, so the smallest frequency comes from the smallest $|q|/m$ value, not just the largest mass; always include the ion's actual charge when evaluating $q/m$.

Which of the following particles will have minimum frequency of revolution when projected with the same velocity perpendicular to a magnetic field?

Multiple Choice Options

  • A Electron
  • B Proton
  • C He+
  • D Li+

Step-by-Step Verified Solution

**Answer:** (d) Li__. **Step-BY-Step Explanation:** f = qB/(2�m). Li__ has the largest q/m ratio, so the highest frequency. But the question asks for minimum frequency, which would be the smallest q/m, i.e., the heaviest particle with smallest charge. Among the options, Li__ has q/m = 2/7, proton has 1/1, electron has 1/0.0005, He_ has 1/4. The minimum q/m is Li__ (2/7 � 0.286). So Li__ has minimum frequency.

All Questions in this Chapter

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