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Question

Bacteria reproduce by the process of binary fission. A population of bacteria doubles itself in 15 minute

If initially one bacterium is placed in a nutrient medium, then how many bacteria will be present in the culture after an hour?


A

8

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B

16

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C

32

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D

64

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Solution

The correct option is B

16


It is given that the population of bacteria doubles itself in 15 minutes.

Initial population of bacteria = 1

Population of bacteria after 15 minutes = 2 × 1 = 2

Population of bacteria after (15 + 15) minutes, i.e., 30 minutes = 2 × 2 = 4

Population of bacteria (15 + 30) minutes, i.e., 45 minutes = 2 × 4 = 8

Population of bacteria (15 + 45) minutes, i.e., 60 minutes = 2 × 8 = 16

Hence, the population of bacteria after one hour will be 16.


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