An industrial radiography company orders an gamma source that must possess an…

PHYSICS · Multi-part · CBSE · Physics · Nuclei · Nuclei

Problem

An industrial radiography company orders an 192Ir^{192}\mathrm{Ir} gamma source that must possess an activity of 2.00 Ci2.00\,\text{Ci} on the day weld inspections are scheduled to start. Shipping, customs, and installation are expected to take 30.0 days30.0\,\text{days}. The half-life of 192Ir^{192}\mathrm{Ir} is 74 days74\,\text{days}. (i) Determine the decay constant of 192Ir^{192}\mathrm{Ir}. (ii) Calculate the activity the manufacturer must supply at the time of dispatch so that the source meets the required activity 30.0 days30.0\,\text{days} later. (iii) Find the percentage of the original nuclei that will have decayed during the shipping period.

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