In a mass spectrometer, a proton (mass mmm, charge +e+e+e) and an alpha particle (mass 4m, charge +2e+2e+2e) are accelerated from rest through the same uniform potential difference VVV.
What is the ratio of the final speed of the proton to the final speed of the alpha particle, vprotonvalpha\displaystyle \frac{v_{\text{proton}}}{v_{\text{alpha}}}valphavproton?
12\frac{1}{2}21
12\frac{1}{\sqrt{2}}21
2\sqrt{2}2
222