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Question

Physics Question on deccay rate

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

A

14\frac{1}{4}

B

34\frac{3}{4}

C

12\frac{1}{2}

D

1

Answer

34\frac{3}{4}

Explanation

Solution

After two half lives 14\frac{1}{4} th fraction of nuclei will remain undecayed. Or, 34\frac{3}{4} th fraction will decay. Hence, the probability that a nucleus decays in two half lives is 34\frac{3}{4}