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  4. Half-life of a radioactive substance A is 4 days. The probability that a nucleus will decay in two half-lives is

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Q. Half-life of a radioactive substance A is 4 days. The probability that a nucleus will decay in two half-lives is

IIT JEEIIT JEE 2006

Solution:

After two half lives $\frac{1}{4}$ th fraction of nuclei will remain undecayed. Or, $\frac{3}{4}$ th fraction will decay. Hence, the probability that a nucleus decays in two half lives is $\frac{3}{4}$