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 deutrons having mass=`2xx1.6xx10^(-27)` kg and charge +e. If B=2T, then the required angular frequency of osciliating electric field is :

Options

A. `10^(8)` radian`//`sec
B. `10^(7)` radian`//`sec
C. `10^(10)` radian`//`sec
D. `10^(9)` radian`//`sec

Answer

A