A bacterium divides after every 35 min, if a culture containing 10⁵ cells per mL is grown, then cell concentration per mL after 175 mins will be

175 $\times$ 10⁵

125 $\times$ 10⁵

48 $\times$ 10⁵

32 $\times$ 10⁵

Solution

32 $\times$ 10⁵

As we know, the bacterium divides after every 35 minutes through simple mitotic division. Therefore, number of divisions are $\frac{175}{35}$ $= 5$ .

Since, one bacterium on division produces 2 cells, so, cell concentration after 175 minutes will be

= 10⁵^{$\times$ (2)5}

= 32 $\times$ 10⁵

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