The radionuclide 49Sc has a half-life of 57.0 min.At t=0, the counting rate of a sample of it is 6000 counts/min above the general background activity, which is 30 counts/min.Without computation, determine whether the counting rate of the sample will be about equal to the background rate in 3 h, 7 h, 10 h, or a time much longer than 10 h.

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The radionuclide 49Sc has a half-life of 57.0 min.At t=0, the counting
rate of a sample of it is 6000 counts/min above the general background
activity, which is 30 counts/min.Without computation, determine
whether the counting rate of the sample will be about equal to
the background rate in 3 h, 7 h, 10 h, or a time much longer than 10 h.

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