A bacterium divides every `35` minutes. If a culture containing `10^(5)` cells/ml is grown for `175` minutes. What will be the cell concentration / ml after `175` minutes

Options

A. `32xx 10^5` cells
B. `5xx10^5` cells
C. `35xx10^5` cells
D. `4.175xx10^5`

Answer

A

Explanation

Total number of bacteria produced `=2^n(n=("Total time")/("Time of division")=175/35=5)`
Thus after 5 divisions total number of bacteria will be `2^5=32`. Initially there are `10^5` bacteric per ml and, therefore , after 175 minutes, the concentration of bacterial cells will be `32xx10^5or3.21xx10^6` cells/ml.