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Question

In a culture of E.coli the cell population increased from $$1.5 \times 10^6$$ cells /ml to $$ 12 \times 10^6$$ cells/ml in 36 minute.The generation time is 


A
6 mt
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B
9 mt
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C
12 mt
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D
18 mt
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Solution

The correct option is C 12 mt
At the start, the culture of E. coli has cell population of 1.5 X 10$$^6$$ cells/ml. After first generation, it will be doubled, that is 3 X 10$$^6$$ cells/ml. After second generation, it will be 6 X 10$$^6$$ cells/ml. After third generation, it will be 12 X 10$$^6$$ cells/ ml. It is given that for a cell population to increase from 1. 5 X 10$$^6$$ cells/ml to 12 X 10$$^6$$ cells/ml, it takes 36 minutes. It means, for 3 generation, it takes 36 minutes. So, its generation time is 36/3 = 12.
Thus, the correct answer option C.

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