What fraction of a radioactive material will get disintegrated in a period of two half-lives

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13.Nuclei

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What fraction of a radioactive material will get disintegrated in a period of two half-lives

A

Whole

B

Half

C

One-fourth

D

Three-fourth

Solution

(d) $\frac{N}{{{N_0}}} = {\left( {\frac{1}{2}} \right)^n},\;n = 2$

$\Rightarrow \frac{N}{{{N_0}}} = {\left( {\frac{1}{2}} \right)^2} = \frac{1}{4}$

So disintegrated part $ = 1 – \frac{N}{{{N_0}}} = 1 – \frac{1}{4} = \frac{3}{4}$

Standard 12

Physics

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