Q. A bacterium divides after every 35 min, if a culture containing $10^{5}$ cells per mL is grown, then cell concentration per mL after 175 min will be
A) $175 \times 10^{5}$
B) $125 \times 10^{5}$
C) $48 \times 10^{5}$
D) $32 \times 10^{5}$
Explanation
As we know that bacterium divided after every 35 minutes through simple mitotic division therefore, number of divisions are $\frac{175}{35} = 5.$Since, one bacterium on division produces two cells so, concentration after 175 minutes will be $= 10^{5} \times (2)^{5}$ $= 32 \times 10^{5}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.