Samples of two radioactive nuclides, X and&nb | vedclass

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Question

If initial activity is $A_{0}$

After $'n'$ half lifes, activity would reduce to $\frac{A_{0}}{2^{n}}$ because number of nuclei would reduce

Vedclass · Accepted Answer

$\frac{3}{8}\,A_0$

Vedclass · Answer

If initial activity is $A_{0}$

After $'n'$ half lifes, activity would reduce to $\frac{A_{0}}{2^{n}}$ because number of nuclei would reduce by that much.

In $48$ hours, substance $X$ would undergo two half lives.

Its new activity would become $\frac{A_{0}}{4}$ substance $Y$ would undergo three half lives.

Its new activity would become $\frac{A_{0}}{8}$

The total activity would be the sum:

$\frac{A_{0}}{4}+\frac{A_{0}}{8}=\frac{3 A_{0}}{8}$

Samples of two radioactive nuclides, $X$ and $Y$, each have equal activity $A_0$ at time $t = 0$ . $X$ has a half life of $24$ years and $Y$ a half life of $16$ years. The samples are mixed together.What will be the total activity of the mixture at $t = 48$ years ?

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