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A helium nucleus (called an alpha particle) contains 2 neutrons and 2 protons with no electrons....

  1. A helium nucleus (called an alpha particle) contains 2 neutrons and 2 protons with no electrons. If any electrons are added, there is a negligible amount of mass added but obviously one negative charge per electron is added. Three particles are injected into a constant B-field of 2T at a velocity of 106ms. The first particle is only the alpha particle (He++), the second particle is a nucleus with 1 electron (He+), and the third particle is a nucleus with 2 electrons (He). They are injected into the B-field at the same point, and they need to complete one half circle to land on the detector. What is each of their radii? How far apart on the detector are they? The masses of a neutron and proton are each 1.67×10-27kg, and the magnitude of the charge of an electron and proton is 1.6×10-19C. (Note: you need the total charge of each particle.)

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