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Describe the motion of a charged particle in a cyclotron if the frequency of the radio frequency (rf) field were doubled. - Physics

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प्रश्न

Describe the motion of a charged particle in a cyclotron if the frequency of the radio frequency (rf) field were doubled.

टीपा लिहा

उत्तर

The frequency va of the applied voltage (radio frequency) is adjusted so that the polarity of the dees is reversed at the same time that it takes the ions to complete one-half of the revolution. The requirement va = vc is called the resonance condition.

When the frequency of the radio frequency (rf) field was doubled, then the resonance condition are violated and the time period of the radio frequency (rf) field was halved. Therefore, the duration in which a particle completes half revolution inside the dees, radio frequency completes the cycle.

So, particles will accelerate and decelerate alternatively. So, the radius of path in the dees will remain the same.

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पाठ 4: Moving Charges And Magnetism - MCQ I [पृष्ठ २५]

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एनसीईआरटी एक्झांप्लर Physics [English] Class 12
पाठ 4 Moving Charges And Magnetism
MCQ I | Q 4.15 | पृष्ठ २५

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संबंधित प्रश्‍न

Which one of the following particles cannot be accelerated by a cyclotron?

(A) Electrons

(B) Protons

(C) Deuterons

(D) α- particles


State the underlying principle of a cyclotron. Write briefly how this machine is used to accelerate charged particles to high energies


Deduce an expression for the frequency of revolution of a charged particle in a magnetic field and show that it is independent of velocity or energy of the particle.


Explain the principle and working of a cyclotron with the help of a schematic diagram. Write the expression for cyclotron frequency.


A cyclotron is used to accelerate protons to a kinetic energy of 5 MeV. If the strength of magnetic field in the cyclotron is 2T, find the radius and the frequency needed for the applied alternating voltage of the cyclotron. (Given : Velocity of proton= `3xx10^7 m//s`)


\[\ce{Fe+}\] ions are accelerated through a potential difference of 500 V and are injected normally into a homogeneous magnetic field B of strength 20.0 mT. Find the radius of the circular paths followed by the isotopes with mass numbers 57 and 58. Take the mass of an ion = A (1.6 × 10−27) kg, where A is the mass number.


Answer the following question.
State the underlying principle of a cyclotron. Explain its working with the help of a schematic diagram. Obtain the expression for cyclotron frequency.


A charged particle is moving in a cyclotron, what effect on the radius of path of this charged particle will occur when the frequency of the ratio frequency field is doubled?


An aircraft executes a horizontal loop of radius 1.00 km with a steady speed of 900 km/h. Its centripetal acceleration is ______.


The cyclotron was designed by ______


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