P. 4222. Three times ionized UF6 molecules are accelerated through a voltage of 5 kV, and then through a small hole they are led to a region of magnetic field of induction 1 T. The induction vector is perpendicular to the velocity of the molecules.
a) What is the path of the ions? Give the characteristic parameters of the paths of the ions which contain the 238 and the 235 isotopes of the Uranium.
b) In this way the two Uranium isotopes can be separated. During the Second World War the available ion sources could produce an ion current of 1 mA. How long would it have taken to separate 1 kg pure 235U isotope with this method?
Google Translation (Sorry, the solution is published in Hungarian only.)
a) A pálya sugarú kör, R238=11,07 cm, R235=11,02 cm. cm.
b) A természetes urán 0,7%-a 235-ös izotóp, így kb. 5500 évre lett volna szükség.