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A cyclotron works because the period of a charged particle's circular motion is

  • A.proportional to its speed
  • B.inversely proportional to its speed
  • C.proportional to the square of its speed
  • D.independent of its speed

Answer: D

The radius grows in proportion to the speed but so does the circumference, so the time for one revolution depends only on the mass, charge and flux density. A fixed accelerating frequency therefore keeps step with the particle throughout, until relativistic mass increase breaks the condition at high energies.

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