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Q.
A sample of radioactive substance contain 2828 atom. If its half life is 2 days. How many atoms will be left intact in the sample after one day? – LIVE ANSWER TODAYSkip to content

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A sample of radioactive substance contain 2828 atom. If its half life is 2 days. How many atoms will be left intact in the sample after one day?

Solution:

Here: original number of atom $ {{N}_{0}}=2828. $ Half life $ {{T}_{1/2}}=2,days $ Time of decay = 1 day Number of half lives $ n=frac{t}{{{t}_{1/2}}}=frac{1}{2} $ Hence, number of nuclei left after one day $ ={{left( frac{1}{2} right)}^{n}}times $ original number of atom $ ={{left( frac{1}{2} right)}^{1/2}}times 2808=2000 $