# Question

(a) Referring to Exercise 37, what would be the proton decay constant λ?

In exercise Suppose the grand unified theory (GUT) was correct and the half-life of a proton was 1.2 x 1035 y. Estimate the decay rate of a liter of water in decays per second and curies. How does this compare to a small (by laboratory standards) radioactive source of one microcurie?

(b) Suppose your experiment required detection of at least one decay per week. What would be the minimum length of one side of a cube-shaped sample of water?

In exercise Suppose the grand unified theory (GUT) was correct and the half-life of a proton was 1.2 x 1035 y. Estimate the decay rate of a liter of water in decays per second and curies. How does this compare to a small (by laboratory standards) radioactive source of one microcurie?

(b) Suppose your experiment required detection of at least one decay per week. What would be the minimum length of one side of a cube-shaped sample of water?

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