Question

an alpha particle and a proton are released from the centre of the cyclotron and made to accelerate 1. can both be accelerated at the same cyclotron frequency give reason 2.when they are accelerated in turn which of the two will have higher velocity at the exit of the dees.

Answer 1

PROTON. Mass =m and charge=q. For alpha particle, mass =4 ,charge =2q. Therefore , cyclotron frequency v=qB/2πm .v =(B/2π) q/m. ie v is proportional to q/m . particles will not accelerate at same frequency.