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Q.Given that the average duplication time of E.coli is 20 minutes. How much time will two E.coli cells take to become 32 cells ?

Telangana TsbieTelangana Board of Intermediate Education (Intermediate 1st Year) 2018Subjective· 2mImportance★★★★★
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2 cells need 4 doublings to become 32 cells; at 20 min each, total = 80 minutes.

E. coli reproduces by binary fission, so each generation the population doubles. The duplication (generation) time is given as 20 minutes.

Starting from 2 cells and doubling each 20-minute cycle:

DivisionsTime (min)Number of cells
Start02
1204
2408
36016
48032

So we need 4 doublings to go from 2 cells to 32 cells.

Number of cells =2×2n= 2 \times 2^{n}, where nn = number of divisions. Setting 2×2n=322 \times 2^{n} = 32 gives 2n=16=242^{n} = 16 = 2^{4}, so n=4n = 4.

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