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The Decay Constant for Strontium 90 Is λ = 0 P0\mathrm { P } _ { 0 }

Question 36

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The decay constant for strontium 90 is λ = 0.0244, where the time is measured in years. How long will it take for a quantity P0\mathrm { P } _ { 0 } of strontium 90 to decay to 13\frac { 1 } { 3 } its original size?
Enter your answer exactly in the form lna b\frac { \ln a } { \mathrm {~b} } where a is a reduced fraction and b is a real number to four decimal places (no units).

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