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(D) The maximum kinetic energy $E_K$ gained by a charged particle in a cyclotron is given by the formula:$E_K = \frac{q^2 B^2 R^2}{2m}$where,$q$ is th

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Frequency of revolution

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(D) The maximum kinetic energy $E_K$ gained by a charged particle in a cyclotron is given by the formula:$E_K = \frac{q^2 B^2 R^2}{2m}$where,$q$ is the charge of the particle,$B$ is the magnetic field intensity,$R$ is the maximum radius of the orbit (radius of the dees),and $m$ is the mass of the particle.From the formula,it is evident that $E_K$ depends on $q$,$B$,$R$,and $m$.However,$E_K$ does not depend on the frequency of revolution $(f = \frac{qB}{2\pi m})$,as the frequency is determined by the cyclotron resonance condition and is independent of the energy or radius of the particle's path.

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

Similar Questions

What is a cyclotron? Discuss the principle of a cyclotron.

The oscillator frequency of a cyclotron is $10 \,MHz$. What should be the operating magnetic field for accelerating protons (in $,T$)? (Given: mass of proton $m = 1.67 \times 10^{-27} \,kg$,charge of proton $q = 1.6 \times 10^{-19} \,C$)

In a cyclotron,a charged particle

What do you mean by 'dees' which is used in cyclotron?

Bohr model is applied to a particle of mass '$m$' and charge '$q$' moving in a plane under the influence of a transverse magnetic field '$B$'. The energy of the charged particle in the $n^{th}$ level will be ($h$ = Planck's constant).

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