A radioactive material has an initial amount | vedclass

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Question

(b) $\frac{N}{{{N_0}}} = {\left( {\frac{1}{2}} \right)^n} $

$\Rightarrow \left( {\frac{1}{{16}}} \right) = {\left( {\frac{1}{2}} \right)^n} $

$\

Vedclass · Accepted Answer

$30$

Vedclass · Answer

(b) $\frac{N}{{{N_0}}} = {\left( {\frac{1}{2}} \right)^n} $

$\Rightarrow \left( {\frac{1}{{16}}} \right) = {\left( {\frac{1}{2}} \right)^n} $

$\Rightarrow n = 4$

also $n = \frac{t}{{{T_{1/2}}}} \Rightarrow {T_{1/2}} = \frac{{120}}{4} = 30\;days$

A radioactive material has an initial amount $16\, gm$. After $120$ days it reduces to $1 \,gm$, then the half-life of radioactive material is ..........$days$

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