Question

91. 5 x 10^5 bacteria are present in a culture medium. This bacteria divides in 10 minute. How many cells will be present after 1 hour in culture medium- (1) 30 x 10^5 (2) 320 x 10° 5) 32 x 10^5 (4) 32 x 10^6
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Answer 1

Answer:

The number of cells will be present after $1$ hour in culture medium is $32\ \times 10^6$

Explanation:

Bacterial cells divide through binary fission or budding.

The number of bacteria present in the culture medium at the beginning was $5\times 10^5$.

It is given that, this bacteria divides in every $10$ minutes.

So, after $10$ minutes, the number of bacteria will be $2\times 5\times 10^5$ .

And in $1$ hour ($60$ minutes), the culture will contain $6^{th}$ generation of bacteria.

Therefore, the number of bacteria in the culture after $1$ hour will be,  

                   $2^6\times 5\times 10^5$  $=64\times 5\times 10^5$

                                        $=320\times 10^5$

                                        $=32\times 10^6$