Question

A bacterium divides every $35$ minutes. If a culture containing ${10}^5$ cells$/$ml is grown in $175$ minutes, what will be cell concentration after that period

• A. $175\times {10}^5$
• B. $35\times {10}^5$
• C. $5\times {10}^5$
• D. $32\times {10}^5$

Answer 1

Answer: (D)

$32\times {10}^5$

It is given that a bacterium divides every 35 minutes.

At 0 minutes, the culture contains 10${}^5$ cells/ml

After 35 minutes, the culture will contain 2${}^1$ x 10${}^5$ cells /ml

Similarly, after 175 minutes, that is after 5 generations, the number of cells will be 2${}^5$ x 10${}^5$ cells/ml

This is equal to 32 x 10${}^5$ cells/ml

Thus, the correct answer is '32 x 10${}^5$.'