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The alpha particle is actually a helium-4 (4He++) nucleus, and it's composed of two protons and two neutrons. This gives it an overall positive charge. When directed between the electrodes as asked, its positive charge will cause it to be attracted by the negative electrode and repelled by the positive electrode. It's simple electrostatics with opposite charges attracting and like charges repelling. The gamma ray is high energy electromagnetic radiation. It will pass between the electrodes and be unaffected.

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