An alpha particle (left(m=6.64 times 10^{-27} mathrm{~kg} ight)), which has twice the charge and approximately four times

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An alpha particle \(\left(m=6.64 \times 10^{-27} \mathrm{~kg}\right)\), which has twice the charge and approximately four times the mass of a proton, is moving in a circle of radius \(0.75 \mathrm{~m}\) perpendicular to a uniform magnetic field of magnitude 0. 75 T. Calculate the alpha particle's \((a)\) angular frequency and period of motion, \((b)\) speed, and \((c)\) kinetic energy.

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