(11 points) You can find the mass of a test charge by shooting it horizontally in between a set of large parallel plates, as shown in the figure. The voltage (electric potential difference) between the plates can be adjusted so that the charged particle does not deflect from its original trajectory. A helium nucleus of charge +2e and mass 6.6 x 10-27 kg is fired into such a parallel plate system. Assume a constant electric field between the plates. (a)If the charge is not to deflect, what must be the sign of the charges on each of the plates - draw them on the plates in the figure. (b)Which plate is higher in electric potential? (c)What magnitude electric field will prevent the helium nucleus from deflecting? (d)If the electric potential difference between the plates were decreased, would you expect the particle to deflect up, down, or not at all? Explain. (e)If the mass of the particle were reduced, with the original voltage difference and plate separation, would you expect the particle to deflect up, down, or not at all? Explain