Question

In a cyclotron the AC potential difference is V and frequency is f. The increase in energy of particle of charge q in one revolution will be

• A. q V
• B. 2q V
• C. $q\frac{V}{2}$
• D. fq V

Answer 1

The correct option is B 2q V

In cyclotron, in a complete revolution AC voltage changes its direction twice.
The charge gains energy $qV$ in first half of the revolution.
In the other half the AC potential changes the direction to again cause an increase in energy of charge by $qV$. Hence the total increase in energy of charge is $2qV$.