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13.Nuclei
medium
The half-life of radon is $3.8\, days$. Three forth of a radon sample decay in ............$days$
A
$5.02$
B
$15.2 $
C
$7.6 $
D
$11.4$
Solution
(c) Decayed fraction $ = \frac{3}{4}$, so undecayed fraction $ = \frac{1}{4}$
Now $\frac{N}{{{N_0}}} = {\left( {\frac{1}{2}} \right)^n}$
$\Rightarrow \frac{1}{4} = {\left( {\frac{1}{2}} \right)^n} \Rightarrow n = 2$
==> $t = n \times {T_{1/2}} = 2 \times 3.8 = 7.6\;days$
Standard 12
Physics
