Question
A radioactive sample is monitored with a radiation detector which registers 5640 counts per minute. Twelve hours later, the detector reads 1410 counts per minute. Calculate the decay constant and the half-life of the sample.
Step 1
The activity of a radioactive sample after a time t is given by the formula: \[A = A_0 e^{-\lambda t}\] where \(\lambda\) is the decay constant. Show more…
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A radioactive sample contains $1.67 \times 10^{11}$ atoms of $\left._{47}^{108} \mathrm{Ag} \text { (half-life }=2.42 \mathrm{min}\right)$ at some instant. Calculate the decay constant and the activity of the sample in mCi.
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