Question

A cyclotron accelerates protons from rest to a speed of $2.07\times 107m/s$.How much work does it do on each proton?

• A. $3.34\times {10}^{-13}J$
• B. $3\times {10}^{-13}J$
• C. $3.34\times {10}^{3}J$
• D. $450J$

Answer 1

The correct option is A $3.34\times {10}^{-13}J$

The cyclotron accelerates protons

$u=0$

$V=2.07\times {10}^{7}m/s$

The work done it does on each proton $={eV}^2$

$=\frac{1.6\times {10}^{-19}\times {(2.07\times {10}^7)}^2}{2}=3.34\times {10}^{-13}J$