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A particular kind of mass spectrometer is shown above. Carbon from the sample is ionized in the ion source at the left.
A particular kind of mass spectrometer is shown above. Carbon from the sample is ionized in the ion source at the left. The resulting singly ionized 12C+ and14C+ ions have negligibly small initial velocities (and can be considered to be at rest). They are accelerated through the potential difference ΔV1.They then enter a region where the magnetic field has a fixed magnitude B = 0.2 tesla. The ions pass through electric deflection plates that are 1 cm apart and have a potential difference ΔV2 that is adjusted so that the electric deflection and the magnetic deflection cancel each other for a particular isotope: one isotope goes straight through, and the other isotope is deflected and misses the entrance to the next section of he spectrometer. The distance from the entrance to the fixed ion detector is a distance of 20 cm.The are controls that let you vary the accelerating potential ΔV1 and the deflection potential ΔV2 in order that only12C+ or 14C+ ions go all the way through the system and reach the detector. You count each kind of ion for fixed times and thus determine the relative abundances. The various deflections insure that you count only the desired type of ion for a particular setting of the two voltages.(a) Determine which acceleration plate is positive (left or right) , which deflection plate is positive (upper of lower), and the direction of the magnetic field.(b) Determine the appropriate numerical values ofΔV1 and ΔV2 for 12C.Carry out your intermediate calculations algebraically, so that you can use the algebraic result in the next part.(c) Determine the appropriate numerical values ofΔV1 and ΔV2 for 14C.