Modern Physics 3 Question 9

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

(a) $\frac{1}{4}$

(b) $\frac{3}{4}$

(c) $\frac{1}{2}$

(d) 1

(2006, 3M)

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Solution:

  1. 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 $\frac{3}{4}$.


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