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Moving Charges and Magnetism — Physics STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 SciencePhysicsMoving Charges and Magnetism3 Marks
Question
  1. Obtain the expression for the cyclotron frequency.
  2. 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.
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Answer

  1. $\frac{mv^2}{r}=qvB$

$r=\frac{mv}{qB}$

Frequency of revolution $(v)=\frac{1}{Time\text{ }period}=\frac{v}{2\pi r}$

$v=\frac{qB}{2\pi m}$

  1. 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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