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. ` 5 xx 10^(5)` cells
B. ` 35 xx 10^(5)` cells
C. ` 32xx 10^(5)` cells
D. ` 175 xx 10^(5)` cells

Answer

C

Explanation

`1xx10^(5)overset(35 min )to 2xx10^(5)overset(70 min) to 4 xx 10^(5)`
` overset(105 min) to 8 xx 10^(5) overset(140 min) to 16 xx 10^(5)`
` overset(175 min) to 32 xx 10^(5)`