Use the graph In the figure below to find how long It would take the original sample of Isotope 8 to decrease to 4 g.40302010B1020304050Time (days)Submit AnswerVlew Previous Question Question 11 of 52Vlew Next Quhpesc$%taberashiftaltGrams of radionuclide

Half lifetime is the time for a radioactive sample to decrease to half of its original amount. Amount of radioactive sample left at any time t is given by- N(t)=N0(12)tt12where,N(t) is the amount left at time tN0 is initial amountt12 is half lifeFrom the graph- Initial quantitiy of radioactive sample B is=32 gHalf the quantity of radioactive sample B is=16 g Time taken to reduce to half of its quantity is, t12=8 days ∴ Time taken to reduce to 4 g of sample B is- N(t)=N0(12)tt12 4 g=32 g (12)t8 18=(12)t8 -ln8=-t8ln2t=8ln8ln2t=24 daysConclusion: Time taken by sample B to reduce to 4 gram is 24 days

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Use the graph In the figure below to find how long It would take the original sample of Isotope B to decrease to 4 g. d. 40 20 10 10 20 30 40 50 Time (days) Grams of radionuclide

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter30: Nuclear Physics

Section30.1: The Nucleus

Problem 8PP

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Use the graph In the figure below to find how long It would take the original sample of Isotope 8 to decrease to 4 g.
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