Question 2 The mass spectrometer (see Figure 4 of the text), is a device one uses to measure the mass of an ion. The ion
Posted: Tue May 31, 2022 10:27 pm
Question 2 The mass spectrometer (see Figure 4 of the text), is a device one uses to measure the mass of an ion. The ion of mass m, and electric charge q is accelerated through a region of potential difference V, before entering a chamber, where a magnetic field B is applied. Here, B is directed, perpendicularly, from behind of this sheet toward the front of it. a) The ions captured in the magnetic field, draw circular orbits, within the chamber; then land at a distance x from their entrance location to the chamber, on a photographic plate, so that one can measure easily the given landing location, due to the emission of a light photon, following the collision of the ion with the photographic plate of concern. Under the circumstances, show that the ion mass m is given by m _B²qx². 8V b) Calculate the ion mass, in terms of the proton mass, i.e. mp= 1.67 x 10-27 kg, The following data is provided: B = 0.01 Tesla, V = 0.5 Volt, q = 1.6 x 10-19 Coulomb, x = 4 cm. Make certain you use coherent units.