Chapter 28, Problem 35P

A proton circulates in a cyclotron, beginning approximately at rest at the center. Whenever it passes through the gap between dees, the electric potential difference between the dees is 200 V. (a) By how much does its kinetic energy increase with each passage through the gap? (b) What is its kinetic energy as it completes 100 passes through the gap? Let r₁₀₀ be the radius of the proton's circular path as it completes those 100 passes and enters a dee. and let r₁₀₁ be its next radius, as it enters a dee the next time.(c) By what percentage does the radius increase when it changes from r₁₀₀ to r₁₀₁? That is, what is

percentage increase = 100%?