In a mass spectrometer, ions of nickel with mass 9.62 × 10^-26 kg and charge +2e are accelerated through a potential difference of X volts and then deflected in a magnetic field of 0.15 T. If the radius of curvature of the ions is 0.55 m, then calculate the value of the potential difference X.

Question

Quizplus · Accepted Answer

The potential difference X can be calculated using the formula for the radius of curvature in a magnetic field: r = (mv)/(qB). The velocity v can be found from the kinetic energy gained by the ions: qX = 0.5mv^2. Solving these equations gives X = 11.3 kV.

In a Mass Spectrometer, Ions of Nickel with Mass 9