Bismath has half life of 5 days. If sample originally has a mass of $800 \mathrm{mg}$. then the mass…

Bismath has half life of 5 days. If sample originally has a mass of $800 \mathrm{mg}$. then the mass remaining after 30 days will be
  1. $10 \mathrm{mg} .$
  2. $10.5 \mathrm{mg} .$
  3. $12 \mathrm{mg} .$
  4. $12.5 \mathrm{mg} .$

Solution

Original mass $=800 \mathrm{mg}$. Half life $=5$ days. We have to calculate remaining mass after 30 days. Understand that $30 \div 5=6$. $\begin{aligned} \therefore \text { Mass remaining } &=\left(\frac{1}{2}\right)^{6} \times 800 \\ &=\frac{800}{64}=\frac{100}{8}=12.5 \end{aligned}$

Asked in: MHT CET 2020 (20 Oct Shift 2)

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