Question

A proton circulates in a cyclotron, beginning approximately at rest at the center. Whenever it passes through the gap between decs, the clectric potential difference between the decs is 200 $\mathrm{V}$ . (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 $r_{1000}$ be the radius of the proton's circular path as it completes those 100 passes and enters a dec, and let $r_{101}$ be its next radius, as it enters a dee the next time. (c) By what percentage docs the radius increase when it changes from $r_{100}$ to $r_{101} ?$ That is, what is percentage increase $=\frac{r_{101}-r_{100}}{r_{100}} 100 \% ?$

          A proton circulates in a cyclotron, beginning approximately at rest at the center. Whenever it passes through the gap between decs, the clectric potential difference between the decs is 200 $\mathrm{V}$ .
(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 $r_{1000}$ be the radius of the proton's
circular path as it completes those 100 passes and enters a dec,
and let $r_{101}$ be its next radius, as it enters a dee the next time. (c) By
what percentage docs the radius increase when it changes from
$r_{100}$ to $r_{101} ?$ That is, what is percentage increase $=\frac{r_{101}-r_{100}}{r_{100}} 100 \% ?$

Added by Raul M.

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