Ions of the same mass but different charge states and are simultaneously injected…
PHYSICS · Subjective · CBSE · Physics · Moving Charges and Magnetism · Moving Charges and Magnetism
Problem
Ions of the same mass m but different charge states +q and +2q are simultaneously injected into the centre of a cyclotron operating with a uniform magnetic field B.
(i) Show that the ratio of their revolution frequencies inside the dees is 2:1.
(ii) If the magnetic field is increased by 5% while the applied alternating frequency is kept unchanged, determine the percentage change in the time required for the singly charged ion to reach the same exit radius as before.
(iii) Comment briefly on how this adjustment of B would affect the acceleration of the doubly charged ion.