Generation time for bacteria is 20 min, and in how much minimum time w...
Answer:
Generation time: It is the time taken by a cell to divide into two daughter cells.
Given: Generation time = 20 min, Starting with 1 bacterial cell, we need to find the minimum time to obtain 34 bacterial cells.
Solution:
Let's assume that after n generations, the number of bacterial cells will be 34.
So, we can write:
Number of bacterial cells after n generations = 1 x 2^n = 34
Solving for n:
2^n = 34
n = log2(34)
n = 5.087
Since n cannot be a fraction, we will take the next integer, i.e., n = 6
So, after 6 generations, the number of bacterial cells will be 34.
Now, let's calculate the time taken for 6 generations:
Time taken for 1 generation = 20 min
Time taken for 6 generations = 6 x 20 min = 120 min = 2 hours
Answer:
So, the minimum time taken to obtain 34 bacterial cells starting with 1 bacterial cell is 2 hours.
Hence, the correct option is (1) 2hr.