The isotopes magnesium-24 (mass \(3.983 \times 10^{-26} \mathrm{~kg}\) ) and magnesium-26 (mass \(4.315 \times 10^{-26} \mathrm{~kg}\) ) are to be separated using a mass spectrometer in which the magnetic field magnitude is \(0.4 \mathrm{~T}\). The ions used are the ones that have lost one electron each, \({ }^{24} \mathrm{Mg}^{+}\)and \({ }^{26} \mathrm{Mg}^{+}\). The resolution of your detector screen is \(3 \mathrm{~mm}\). What is the minimum value of the potential difference through which these ions must be accelerated to see them distinctly on the detector screen?