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Question 20210
JEE Physics · Hard

Magnetism: Cyclotron Max Energy MCQ

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Cyclotron Max EnergyHardQuestion 20210

Question

In a cyclotron with dees of radius R and magnetic field B, maximum kinetic energy of the particle (charge q, mass m) is:
  1. A
    qBR/m
  2. B
    q²B²R²/2m
    Correct
  3. C
    q²B²R/m
  4. D
    qBR²/2m

Correct answer

q²B²R²/2m

Explanation

Maximum speed at radius R: v = qBR/m. KE = ½mv² = ½m(qBR/m)² = q²B²R²/(2m).

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