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A bacterium divides every 35 minutes. If...

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

A

`175xx10^(5)` cells

B

`85xx10^(5)` cells

C

`35xx10^(5)` cells

D

`32xx10^(5)` cells

Text Solution

Verified by Experts

The correct Answer is:
d
As we know that bacterium divides after every `35` minutes through simple mitotic division therefore number of divisions are `175/35=5`
Since one bacterium on division produces two cells so cell cencentration after `175` minutes will be
`=10^(5)xx(2)^(5)" "=32xx10^(5)`.
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