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Maximum kinetic energy gained by the charged particle in the cyclotron is independent of
  • a)
    the radius of the dees
  • b)
    charge
  • c)
    mass
  • d)
    frequency of revolution
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Maximum kinetic energy gained by the charged particle in the cyclotro...
Maximum kinetic energy gained by a charged particle in a cyclotron is given by
where q = charge of the cyclotron,
B = intensity of the magnetic field,
R = radius of orbit
And the m = mass of the particle,
Hence, EK is independent of frequency of revolution.
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Maximum kinetic energy gained by the charged particle in the cyclotro...
Introduction:
The cyclotron is a device used to accelerate charged particles to high speeds. It consists of two hollow semicircular electrodes called dees, placed in a magnetic field. The charged particle is accelerated by an alternating electric field between the dees. The maximum kinetic energy gained by the charged particle in the cyclotron is independent of certain factors.

Factors affecting the maximum kinetic energy:
1. The radius of the dees: The radius of the dees determines the path of the charged particle. However, the maximum kinetic energy gained by the particle does not depend on the radius of the dees. This is because the electric field between the dees is constant and independent of the radius of the dees.

2. The charge of the particle: The charge of the particle affects the force experienced by the particle in the magnetic field. However, the maximum kinetic energy gained by the particle does not depend on its charge. This is because the electric field between the dees accelerates the particle regardless of its charge.

3. The mass of the particle: The mass of the particle affects the force experienced by the particle in the magnetic field. However, the maximum kinetic energy gained by the particle does not depend on its mass. This is because the electric field between the dees accelerates the particle regardless of its mass.

4. The frequency of revolution: The frequency of revolution of the charged particle depends on the strength of the magnetic field and the radius of the dees. However, the maximum kinetic energy gained by the particle is independent of the frequency of revolution. This is because the electric field between the dees accelerates the particle regardless of its frequency of revolution.

Conclusion:
The maximum kinetic energy gained by the charged particle in the cyclotron is independent of the radius of the dees, charge of the particle, mass of the particle, and frequency of revolution. This is because the electric field between the dees accelerates the particle regardless of these factors.
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Maximum kinetic energy gained by the charged particle in the cyclotron is independent ofa)the radius of the deesb)chargec)massd)frequency of revolutionCorrect answer is option 'D'. Can you explain this answer?
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