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Your research director has assigned you to operate the laboratory's mass spectrometer that is designed to separate strontium ions having a net charge of

 

Your research director has assigned you to operate the laboratory's mass spectrometer that is designed to separate strontium ions having a net charge of +2e from a beam of mixed ions. The spectrometer illustrated above accelerates a beam of ions from rest through a potential difference V = 6860 V, after which the beam enters a region containing a uniform magnetic field B that has a constant magnitude and is perpendicular to the plane of the path of the ions. The ions strike the detector at a distance x from the entrance point. Numerical values for this experiment: Strontium atomic number: 38 Strontium ion mass: 1.45 10-25 kg Magnitude of B field: 0.090 T (a) In what direction must B point to produce the trajectory of the ions shown? (b) The ions travel at constant speed around the semicircular path. Explain why their speed remains constant. (c) Calculate the speed of the ions with charge +2e when they reach the magnetic field after being accelerated by the accelerating potential. (d) Calculate the distance x labeled in the diagram. region with B-field R Detector lon source

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