Antialpha particles are hypothetical particles emitted in an antimatter reaction. A project in a Physics laboratory is trying to find a way to protect astronauts against this type of radiation that could be a problem in space travel. For that purpose, the lab is testing a sort of capacitor formed by an inner solid spherical conductor surrounded by a thin conducting shell of radii r
Antialpha particles are hypothetical particles emitted in an antimatter reaction. A project in a Physics
laboratory is trying to find a way to protect astronauts against this type of radiation that could be a
problem in space travel. For that purpose, the lab is testing a sort of capacitor formed by an inner solid
spherical conductor surrounded by a thin conducting shell of radii r<R (the largest spherical shell has
radius R, the solid conductor has radius r) with r=0.5m and R=2.0 m . Just outside (very near the surface)
of the spherical shell a hall-effect based probe measures the electric field to be 65 Volts/meter (pointed
toward the center of the shell). To test the radiation shield, an antialpha particle is launched towards
the device with speed of 120000 meter/second at a distance of 10 meters from the device. Find the
closest (distance) the antialpha particle can approach the center of the inner solid sphere.
Hint: An antialpha particle consists of two antiprotons (negative charge) and two protons. Assume that
the mass of the particle is four times the mass of the proton and that the charge is equal to 2 electrons.
Neglect any relativistic effects.
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