Question
- Obtain the expression for the cyclotron frequency.
- A deuteron and a proton are accelerated by the cyclotron. Can both be accelerated with the same oscillator frequency? Give reason to justify your answer.
✓
Answer
- $\frac{mv^2}{r}=qvB$
Frequency of revolution $(v)=\frac{1}{Time\text{ }period}=\frac{v}{2\pi r}$
$v=\frac{qB}{2\pi m}$
- No The mass of the two particles, i.e deuteron and proton, is different. Since (cyclotron) frequency depends inversely on the mass, they cannot be accelerated by the same oscillator frequency.
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