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A single bacteria can reproduce by binary fission (splitting into two) every 20 minutes. If a petri dish starts with 10 bacteria, select how many bacteria will be present after 2 hours (6 cycles of reproduction).
A single bacteria can reproduce by binary fission (splitting into two) every 20
minutes. If a petri dish starts with 10 bacteria, select how many bacteria will be
present after 2 hours (6 cycles of reproduction).
A. 100
B. 160
C. 640
D. 1200
This Question has 1 answers.
Given:
- Initial number of bacteria = 10
- Reproduction time = every 20 minutes
- Total time = 2 hours = 120 minutes
Since bacteria reproduce every 20 minutes:
Number of cycles $=\frac{120}{20} = 6$
Each bacterium splits into 2. So after each cycle, the number of bacteria doubles. That means after n cycles, the population multiplies by $2^n$ .
Hence final count of bacteria would be $ = 10 \times 2^6 = 640$
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