Consider the search for proton decay in a water Cherenkov detector. The refraction index is n=1.33. Find

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Consider the search for proton decay in a water Cherenkov detector. The refraction index is n=1.33. Find

(1) the minimum velocity of a charged particle for emitting radiation,

(2) the minimum kinetic energy for an electron and a K meson to do so, and

(3) determine whether the charged particle in the decays p → e+ + π0 and p → K+ ν is above the Cherenkov threshold.

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