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AP Physics 2/Unit 15 – Modern Physics
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Radioactive Decay Calculation Method
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A sample of radioactive material decays such that 30% of the original nuclei remain after 10 hours. A researcher needs to determine when the sample will have only 5% of its original nuclei. What is the correct approach?

A

Divide 10 hours by 6 since 30%/5% = 6

B

Calculate λ from the first measurement, then find t for 5%

C

Multiply the original time by the ratio 30%/5%

D

Use the half-life formula with 30% to find t for 5%

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