A radioactive substance decays exponentially with half life l Suppose the amount of the substance initially present (when t 0) is Q 0 a Show that the amount of the substance that remains after t years will be Q(t) Q 0 e (ln 2 )t b Find a number k so that the amount in part (a) can be expressed as Q...

A radioactive substance decays exponentially with half-life l. Suppose the amount of the substance initially present (when

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A radioactive substance decays exponentially with half-life l. Suppose the amount of the substance initially present (when t = 0) is Q₀.

a. Show that the amount of the substance that remains after t years will be Q(t) = Q₀e^{−(ln 2/λ)t}.

b. Find a number k so that the amount in part (a) can be expressed as Q(t) = Q₀(0.5)^kt.

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a b When t Q 2...View the full answer

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