Maximum kinetic energy gained by the charged particle in the cyclotron is independent of

Question

Maximum kinetic energy gained by the charged particle in the cyclotron is independent of (A) radius of the dees (B) charge (C) mass (D) frequency of revolution

Tardigrade Admin · Accepted Answer

Maximum kinetic energy gained by charged particle in a cyclotron is given by

E_{K} = \frac{q ^{2} B ^{2} R ^{2}}{2 m}

where,

q =

charge of the cyclotron,

B =

intensity of magnetic field,

R =

radius of orbit and

m =

mass of the particle, Hence,

E_{K}

is independent of frequency of revolution.

Q. Maximum kinetic energy gained by the charged particle in the cyclotron is independent of

radius of the dees

charge

mass

frequency of revolution

Maximum kinetic energy gained by charged particle in a cyclotron is given by EK​=2mq2B2R2​ where, q= charge of the cyclotron, B= intensity of magnetic field, R= radius of orbit and m= mass of the particle, Hence, EK​ is independent of frequency of revolution.