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.)
The uniform magnetic field in ihe velocity selector is directed out of the page and has magnitudeB. (a) What should the magnitude and direction of the electric Held in the selector be to allow ions with speedυ to pass straight through? (b) Sketch the trajectory inside the velocity selector for ions that enter with speeds slightly less thanυ.
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