For a radioactive material, $$half-life$$ is $$10$$ minutes. If initially there are $$600$$ number of nuclei, the time taken (in$$ $$minutes) for the disintegration of $$450$$ nuclei is

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Infinity Learn · Accepted Answer

Number of nuclei $$remainingN=600-450=150According$$ to the law of radioactive decay,$$NN0=12tT1/2$$ ; where $$N0$$ is the number of nuclei initially. ∴  $$150600=12tT1/2$$; where $$T1/2=$$ half life.  or $$122=12tT1/2$$⇒$$t=2T1/2=2$$×$$10$$ minutes                                                            $$=20$$ minutes

For a radioactive material, half-life is 10 minutes. If initially there are 600 number of nuclei, the time taken (in minutes) for the disintegration of 450 nuclei is

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