Home
Class 12
PHYSICS
A cyclotron is device for accelerating i...

A cyclotron is device for accelerating ions and charged particles. It was developed by Lawerence in 1932.
The heart of the appritus consists of a split metal pillbox. Figure sHOws top and front views of the halves called dees. A rapidly oscilating potential difference is applied between the Dees. This produces an oscilating electric field in the gap between the dees, the region inside each dee being essentially free of electric field. The Dees are enclosed in an evaccutaed container, and the entire unit is placed in a uniform magnetic field B whose direction is normal to the plane Of Dees, A charged particle of mass 'm' and charge 'q' in the gap between the dees, it moves with constant speed in a semi-circle.
The period of uniform circular motion is `T=(2pim)/(qB)` and is independant of speed. If the time-period of the oscilating elctric field is equal to this time, then the charged particle will be accelerated again and again

Answer the following questions (consider the mass of particles remains constant during motion):
A cyclotron is accelerating deutrons having mass=`2xx1.6xx10^(-27)` kg and charge +e. If B=2T, then the required angular frequency of oscilating electric field is :

A

`10^(8)` radian`//`sec

B

`10^(7)` radian`//`sec

C

`10^(10)` radian`//`sec

D

`10^(9)` radian`//`sec

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MAGNETIC FIELD AND MAGNETIC FORCES

    CENGAGE PHYSICS ENGLISH|Exercise Subjective|11 Videos

  • MAGNETIC FIELD AND MAGNETIC FORCES

    CENGAGE PHYSICS ENGLISH|Exercise Multiple|2 Videos

  • MAGNETIC FIELD AND MAGNETIC FORCES

    CENGAGE PHYSICS ENGLISH|Exercise Single Correct Answer Type|42 Videos

  • INDUCTANCE

    CENGAGE PHYSICS ENGLISH|Exercise Concept Based|8 Videos

  • MISCELLANEOUS VOLUME 3

    CENGAGE PHYSICS ENGLISH|Exercise True and False|3 Videos

Similar Questions

Explore conceptually related problems

A cyclotron is device for accelerating ions and charged particles. It was developed by Lawerence in 1932. The heart of the appritus consists of a split metal pillbox. Figure sHOws top and front views of the halves called dees. A rapidly oscilating potential difference is applied between the Dees. This produces an oscilating electric field in the gap between the dees, the region inside each dee being essentially free of electric field. The Dees are enclosed in an evaccutaed container, and the entire unit is placed in a uniform magnetic field B whose direction is normal to the plane Of Dees, A charged particle of mass 'm' and charge 'q' in the gap between the dees, it moves with constant speed in a semi-circle. The period of uniform circular motion is T=(2pim)/(qB) and is independant of speed. If the time-period of the oscilating elctric field is equal to this time, then the charged particle will be accelerated again and again Answer the following questions (consider the mass of particles remains constant during motion): A cyclotron has been adjusted to accelereted deutrons. It is now to be adjusted to accelerate other particles , for this following changes may be made: (a) In order to keep the frequency of oscillating electric field same, the magnetic field is halved for proton (b) If the magnetic field remain unchanged, the oscillation frequency of electric field should be halved for alpha particle (c ) If the magnetic field remain unchanged, the oscillation frequency of electric field should be double for proton (d) If the frequency of oscillating electric field is kept same, the magnetic field should be kept same for alpha particle

A cyclotron is device for accelerating ions and charged particles. It was developed by Lawerence in 1932. The heart of the appritus consists of a split metal pillbox. Figure sHOws top and front views of the halves called dees. A rapidly oscilating potential difference is applied between the Dees. This produces an oscilating electric field in the gap between the dees, the region inside each dee being essentially free of electric field. The Dees are enclosed in an evaccutaed container, and the entire unit is placed in a uniform magnetic field B whose direction is normal to the plane Of Dees, A charged particle of mass 'm' and charge 'q' in the gap between the dees, it moves with constant speed in a semi-circle. The period of uniform circular motion is T=(2pim)/(qB) and is independant of speed. If the time-period of the oscilating elctric field is equal to this time, then the charged particle will be accelerated again and again In a cyclotron resonance experiment, if we assume that maximum radius attained by any chared particles is equal to radius of dees, then minimum kinetics energy gained by the particles will be

Two plates are 2cm apart, a potential difference of 10 volt is applied between them, the electric field between the plates is

What potential difference must be applied to produce an electric field that can acceleration an electric charge to one length the velocity of light ?

If 100 volts of potential difference is applied between a and b in the circuit of , find the potential difference between c and d .

Figure shows a parallel plate capacitor with plate area A and plate separation d . A potential difference is being applied between the plates. The battery is then disconnected and a dielectric slab of dieletric constant K is placed in between the plates of the capacitor as shown. The electric field in the gaps between the plates and the electric slab will be

The movement of sol particles under an applied electric field is called

A particle of mass m and charge q is thrown in a region where uniform gravitational field and electric field are present. The path of particle:

Show that it makes little sense placing the dees of a cyclotron into a uniform magnetic field. Specify a rational shape of the pole pieces capable of focusing a particle beam in the centre of the dees.

The acceleration of a charged particle in a uniform electric field is

Home
Profile