Incoming ons Some mass spectrometers, as shown in the figure, use an electric fi

Question

Incoming ons Some mass spectrometers, as shown in the figure, use an electric field to give the incoming ions a certain known kinetic energy as they enter the magnetic field. Assume a magnetic field strength of 0.5 T r7 , what is the radius r of (a If a certain ion carries a charge of 30 ?C has a mass of 0.8 g and possesses an initial kin etic energy of 4 x path? sc cular 0.257 m Submit Answer Incorrect. Tries 1/8 Previous Tries (b) What is the final kinetic energy of the ion just before it reaches the ion detector? lon detector. Submit Answer Tries 0/8

Explanation / Answer

Kinetic energy, KE = 0.5 mv^2

V^2 = 2KE/m = (2 x 4 x 10^-7)/(0.8 x 10^-3) = 0.001

V = 0.032 m/s

A) Radius, r = mv/qB = (0.8 x 10^-3 x 0.032)/(0.5 x 30 x 10^-6)

Radius, r = 1.687 m

B) Change in kinetic energy

Delta E = (delta KE) initial - (delta KE) final

So, final kinetic energy, KE = 4 x 10^-7 J

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