If T is the half life of a radioactive materi | vedclass

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Question

(c)Fraction remains after $n$ half lives

$\frac{N}{{{N_0}}} = {\left( {\frac{1}{2}} ight)^n} = {\left( {\frac{1}{2}} ight)^{t/T}}$

$	herefo

Vedclass · Accepted Answer

$\frac{1}{{\sqrt 2 }}$

Vedclass · Answer

(c)Fraction remains after $n$ half lives

$\frac{N}{{{N_0}}} = {\left( {\frac{1}{2}} ight)^n} = {\left( {\frac{1}{2}} ight)^{t/T}}$

$	herefore$ $\frac{N}{{{N_0}}} = {\left( {\frac{1}{2}} ight)^{\frac{{T/2}}{T}}} = {\left( {\frac{1}{2}} ight)^{1/2}} = \frac{1}{{\sqrt 2 }}$

If $T$ is the half life of a radioactive material, then the fraction that would remain after a time $\frac{T}{2}$ is

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