Question

A bacterium has a generation time of $50$ minutes. A culture containing ${10}^8$ cells /mL is incubated for $300$ minutes. What will be the number of cells after $300$ minutes?

• A. $64\times {10}^3$ cells
• B. $64\times {10}^8$ cells
• C. $64\times {10}^9$ cells
• D. $64.4\times {10}^9$ cells

Answer 1

The correct option is B $64\times {10}^8$ cells

One generation $=50$ units
No. generation $=\frac{300}{50}=6$ generation$\left(n\right)$
No of bacterias $=(2{)}^a\times 1$ initial no
$(2{)}^6\times {10}^8$
$64\times {10}^8$ or
$6.4\times {10}^9$