Graph represents decay of a newly prepared sample of radioactive nuclide X to a stable nuclide Y . h

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13.Nuclei

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The graph represents the decay of a newly prepared sample of radioactive nuclide $X$ to a stable nuclide $Y$ . The half-life of $X$ is $\tau $ . The growth curve for $Y$ intersects the decay curve for $X$ after time $T$ . What is the time $T$ ?

A

$\frac {\tau }{2}$

B

$In\left( {\frac{\tau }{2}} \right)$

C

$\tau $

D

$2\tau $

Solution

at $t = T$
$N_x = N_y$ (one half life)

Standard 12

Physics

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