In a high-resolution time-of-flight mass spectrometer, ionized isotopes are accelerated from rest across a static electric potential difference.
An ion of species A, having mass μ\muμ and charge +ze+ze+ze, is accelerated through a potential difference Φ\PhiΦ, reaching a final drift velocity of www.
A second ion of species B, with mass 34μ\frac{3}{4}\mu43μ and charge +2ze+2ze+2ze, is accelerated from rest through a potential difference of 3Φ3\Phi3Φ.
Determine the final drift velocity of species B in terms of www.