Question

Estimate the kinetic energy gained by a proton in one revolution if the potential gap between the Dees is $80\text{kV}$ in a cyclotron.

• A. $4.6\times {10}^{-14}\text{J}$
• B. $3.6\times {10}^{-14}\text{J}$
• C. $2.6\times {10}^{-14}\text{J}$
• D. $1.6\times {10}^{-14}\text{J}$

Answer 1

The correct option is C $2.6\times {10}^{-14}\text{J}$

In one revolution, proton crosses the gap between the Dees two times.

So, increase in kinetic energy

$=2qV=2\times 1.6\times {10}^{-19}\times 80\times {10}^3$

$=2.6\times {10}^{-14}\text{J}$