In week #1 we looked at a mass spectrometers that used an electric field to sepa

Question

In week #1 we looked at a mass spectrometers that used an electric field to separate molecules of different sizes. In other types of mass spectrometers a magnetic field is used to do the separation. In the diagram below. charged particles are fired into a uniform magnetic field that causes them to curve. Eventually. the charged particles reverse direction and collide with a detector which measures the distance d between where tin- particles entered the- field and the final collision. This distance is then used to determine the mass of the particles. Is the particle shown in the figure positively or negatively charged? Explain. Assume that the particle is singly ionized (i.e. the charge is either +e- or -e-) the magnetic field lues .1 strength 0.6 T. the- initial velocity of the particle is 5.8 times 105 m/s. and it strikes the detector at a distance d = 4.6 cm, what is the mass of the particle? If the particle is .in atom, what element is it? If the same atom was doubly ionized, where would it strike the detector? What is the magnetic force on the singly ionized atom?

Explanation / Answer

r= d/2

positive

b) F = q*v*B = mv^2/r

m = qBr/v = (1.6*10^-19*0.6*2.3*10^-2)/(5.8*10^5)

m = 0.38*10^-26 kg

c) r' = m*v/q'B = r/2

d' = 2 r' = r= d/2

d) F = q*v*B = 5.568*10^-14 N

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