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Q. The half-life period for a radioactive substance is $15$ minutes. How many grams of this radioactive substance is decayed from $50$ gram of substance after one hour?

Gujarat CETGujarat CET 2017

Solution:

$A_{0} \xrightarrow{15} \frac{ A _{0}}{2} \xrightarrow{30} \frac{ A _{0}}{4} \xrightarrow{45} \frac{ A _{0}}{8} \xrightarrow{60}\frac{A_{0}}{16}$
$3.125 \,g$ remain
Decayed $=46.875$