Question:
In a cyclotron, the frequency of revolution of a charged particle of energy E moving in a magnetic field is f. If the energy of the charged particle in it is doubled, then the frequency of revolution of the charged particle is
In a cyclotron, the frequency of revolution of a charged particle of energy E moving in a magnetic field is f. If the energy of the charged particle in it is doubled, then the frequency of revolution of the charged particle is
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Cyclotron frequency depends only on the specific charge ($q/m$) and magnetic field.
Updated On: Apr 27, 2026
- f
- $\frac{f}{2}$
- 2f
- $\frac{f}{4}$
- 4f
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The Correct Option is A
Solution and Explanation
Step 1: Concept
Cyclotron frequency $f = \frac{qB}{2\pi m}$.
Step 2: Meaning
The frequency is independent of the velocity and energy of the particle.
Step 3: Analysis
Doubling the energy does not change $q, B$, or $m$.
Step 4: Conclusion
The frequency remains $f$.
Final Answer: (A)
Cyclotron frequency $f = \frac{qB}{2\pi m}$.
Step 2: Meaning
The frequency is independent of the velocity and energy of the particle.
Step 3: Analysis
Doubling the energy does not change $q, B$, or $m$.
Step 4: Conclusion
The frequency remains $f$.
Final Answer: (A)
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