Search any question & find its solution
Question:
Answered & Verified by Expert
A radioactive isotope having $t_{1 / 2}=3$ days was read after 12 days. If $3 g$ of isotope is contained in container, the initial weight of isotope was
Options:
Solution:
2332 Upvotes
Verified Answer
The correct answer is:
$48 \mathrm{~g}$
$\begin{aligned} T &=n \times t_{1 / 2} \\ 12 &=n \times 3 \\ n &=4 \\ N &=N_{0} \times\left(\frac{1}{2}\right)^{n} \\ 3 &=N_{0} \times\left(\frac{1}{2}\right)^{4} \\ 3 &=N_{0} \times \frac{1}{16} \\ N_{0} &=16 \times 3=48 \mathrm{~g} \end{aligned}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.