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Q.

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 τ The growth curve for Y intersects thedecay curve for X after time T.What is the time T?

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a

τ

b

τ2

c

lnτ2

d

ln2τ

answer is A.

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Detailed Solution

If half-life of X is τ then its initial number N0 becomes N02in time τ. NowN02decayed X produce N02number of Y nuclei. Thus, the numbers of X and Y will beequal at half life time or 'τ'
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