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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.

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

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

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संबंधित प्रश्न

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(A) Electrons

(B) Protons

(C) Deuterons

(D) α- particles


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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.


A deuteron and a proton are accelerated by the cyclotron. Can both be accelerated with the same oscillator frequency? Give reason to justify your answer.


Draw a schematic sketch of a cyclotron. Explain clearly the role of crossed electric and magnetic field in accelerating the charge. Hence derive the expression for the kinetic energy acquired by the particles.


Which of the following particles will describe the smallest circle when projected with the same velocity perpendicular to a magnetic field?


Consider a 10-cm long portion of a straight wire carrying a current of 10 A placed in a magnetic field of 0.1 T making an angle of 53° with the wire. What magnetic force does the wire experience?


Figure shows a rod PQ of length 20.0 cm and mass 200 g suspended through a fixed point O by two threads of lengths 20.0 cm each. A magnetic field of strength 0.500 T exists in the vicinity of the wire PQ, as shown in the figure. The wires connecting PQ with the battery are loose and exert no force on PQ. (a) Find the tension in the threads when the switch is open. (b) A current of 2.0 A is established when the switch S is closed. Find the tension in the threads now.


A conducting wire of length l, lying normal to a magnetic field B, moves with a velocity v,as shown in the figure. (a) Find the average magnetic force on a free electron of the wire. (b) Due to this magnetic force, electrons concentrate at one end, resulting in an electric field inside the wire. The redistribution stops when the electric force on the free electrons balances the magnetic force. Find the electric field developed inside the wire when the redistribution stops. (c) What potential difference is developed between the ends of the wire?


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Cyclotron is used to ______.


Assertion: The frequency of circular motion of a charged particle in cyclotron is independent of the mass of the particle.
Reason: Greater the mass of the particle less will be the frequency of the particle.


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?


Which of the following is not correct about cyclotron?


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


The life time of muon in the rest frame is 2 × 10-6 sec. A beam of muons emerges from a cyclotron with velocity where c is the velocity of light The mean life of muons observed in the laboratory frame will be ______.


A cyclotron can accelerate ______.


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