A mass spectrometer (see the figure) is designed to measure the massm of the 238U+ ion. A source of 238U+ ions (not shown) sends ions into the device with negligibly small initial kinetic energies. The ions pass between parallel accelerating plates and then through a velocity selector designed to allow only ions moving at speedυ to pass straight through. The ions that emerge from the velocity selector move in a semicircle of diameterD in a uniform magnetic field of magnitude B. which is the same as the magnetic field in the velocity selector. (Express your answers in terms of quantities given in the problems and universal constants as necessary.)
Suppose some 238U2+ ions arc present in the beam. They have the same massm as the 238U+ ions but twice the charge (+2e). (a) With what speed do the 238U2+ ions emerge from the accelerating plates, assuming 238U+ ions emerge with speed υ? (b) Sketch the trajectory of 238U2+ ions inside the velocity selector, (c) Now the velocity selector is removed. 238U+ ions move in a circular path of diameterD in the uniform magnetic field. What is the diameter of the path of the :238U2+ ions?
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