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13.Nuclei
medium
$3.8$ days is the half-life period of a sample. After how many days, the sample will become $\frac{{1}}{{8}} \, th$ of the original substance
A
$11.4$
B
$3.8$
C
$3$
D
None of these
Solution
(a) $\frac{N}{{{N_0}}} = {\left( {\frac{1}{2}} \right)^n} \Rightarrow \frac{1}{8} = {\left( {\frac{1}{2}} \right)^n} \Rightarrow n = 3$
Now $t = n \times {T_{1/2}} = 3 \times 3.8 = 11.4\;days$
Standard 12
Physics
