A radioactive sample has half-life of 5 years. Probability of decay in 10 years will be ......

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13.Nuclei

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A radioactive sample has half-life of $5$ years. Probability of decay in $10$ years will be ........$\%$

A

$100$

B

$75$

C

$50$

D

$25$

Solution

(b) Number of half lives $n = \frac{{10}}{5} = 2,$

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

Fraction decayed $ = 1 – \frac{N}{{{N_0}}} = 1 – \frac{1}{4} = \frac{3}{4}$

==> In percentage $ = \frac{3}{4} \times 100 = 75\% $

Standard 12

Physics

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