Biological Classification And System Of Classification Question 539

Question: 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 [CBSE PMT 1998; BHU 2004]

Options:

A) $ 175\times 10^{5},cells $

B) $ 85\times 10^{5},cells $

C) $ 35\times 10^{5},cells $

D) $ 32\times 10^{5},cells $

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Answer:

Correct Answer: D

Solution:

As we know that 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 two cells so cell concentration after 175 minutes will be $ =10^{5}\times {{(2)}^{5}} $ $ =32\times 10^{5} $