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11TH•Mathematics•Functions And Graphs•Question 5

Question 5

A radioactive substance has a half-life ($t_{1/2}$) of 2 years. If the initial quantity $Q_0$ is 200 grams and the exponential decay function is $Q(t)=Q_0\left(\dfrac{1}{2}\right)^{t/2}$, then find the remaining quantity after 6 years graphically.

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Question 5

A radioactive substance has a half-life of 22 years and an initial mass of 200200 grams. Using the exponential decay model Q(t)=Q0(12)t/2Q(t) = Q_0 \left(\frac{1}{2}\right)^{t/2}, determine the remaining mass after 66 years and illustrate the decay graphically.

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