Figure 1 below shows the essentials of a mass spectrometer, a device used to mea

Question

Figure 1 below shows the essentials of a mass spectrometer, a device used to measure the mass of an ion. An ion of mass in (to be measured) and charge q= 1.602 x 10^-19 C is produced in source S. The initially stationary ion is accelerated by the electric field due to a potential difference V = 1kV. The ion leaves S and enters a separator chamber in which a uniform magnetic field B= 80 mT az is perpendicular to the path of the ion. A wide detector lies at the bottom wall of the chamber, and the uniform magnetic field causes the ion to move in a semicircle and strike the detector at a distance x = 1.5975 in away from where it entered the chamber. What is the mass of the ions leaving S in atomic mass units (1 amu = 1.6605 x 10 kg) and what atom does this correspond to? Hint: Use the conservation of energy (KE + PE = 0) to formulate an equation for the ion velocity in terms of m, q, and V.

Explanation / Answer

F= q[E+ vX B]

F= ma

Here F is the force applied to the ion, m is the mass of the ion, a is the acceleration, q is the ion charge, E is the electric field, and v

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