First slide

Radio activity

Question

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

Moderate

A

100%
B

75%
C

50%
D

25%

Solution

Number of half-lives $n = \frac{10}{5} = 2,$
$Now \frac{N}{N_{0}} = {(\frac{1}{2})}^{2} = \frac{1}{4} Fraction decayed = 1 - \frac{N}{N_{0}} = 1 - \frac{1}{4} = \frac{3}{4} \Rightarrow In percentage = \frac{3}{4} x 100 = 75 %$

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