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A scientist builds an apparatus to measure the charge to mass ratio of ions. An ion is first accelerated to a speed of 9.00
A scientist builds an apparatus to measure the charge to mass ratio of ions. An ion is first accelerated to a speed of 9.00 x 107 m/s. It then passes through a region of magnetic field, with a magnitude of 2.09 x 10-2 T, perpendicular to the ion's velocity. Because the ion is moving so fast, it is only in the presence of the magnetic field for 2.00 x 10 -7 s. Upon exiting the magnetic field, the scientist measures that the ion was deflected a distance of 3.00 cm in a direction perpendicular to its initial velocity. (a) What is the ratio of the absolute value of the ion's charge to its mass (in C/kg)? Assume the velocity change is small, and that the component of the velocity along the ion's original direction does not change noticeably. 191 =797448.165 m C/kg (b) Suppose the scientist determines the ion is singly charged; that is, the magnitude of its charge is that of a proton. What is the mass of the ion (in kg)? Use the ratio you found in part (a) and the charge of a proton to calculate the mass. kg
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