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Ionized Hydrogen molecules are put in a cyclotron. When hydrogen molecules are ionized, the following species are produced: H + , H 2 + ,

Ionized Hydrogen molecules are put in a cyclotron. When hydrogen molecules are ionized, the following species are produced: H+, H2+ , and H3+ . Each of these ions have charge +e and they have masses mp, 2mp, and 3mp, respectively, where, mp is the proton mass. The cyclotron has a magnetic field B, radius R and the voltage across the dees is set to vary sinusoidally at the resonant frequency for accelerating protons. Which hydrogen ion species will be accelerated in the cyclotron? For those species that are accelerated, what will their velocity be when they exit the cyclotron?

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