
If the generation time of a bacterium is 40 minutes and a culture containing cells / ml is grown for 4 hours, then calculate its population after that period:
(a)
(b)
(c)
(d)
Answer
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Hint: Convert hours into minutes by multiplying the given hour with 60. Use the information that a bacteria splits into two parts after 40 minutes and calculate the total number of bacteria formed after 4 hours. Calculate the value for 1 bacteria and multiply with to get the correct option.
Complete step by step answer:
Here, we have to find the total population of bacteria after 4 hours if one bacteria splits into two parts after each 40 minutes. We have a total of bacteria.
Let us calculate the total population formed from 1 bacteria.
We have 4 hours given.
We know that, 1 hour = 60 minutes.
4 hours = = 240 minutes.
Now, the population of bacteria formed after 40 minutes = 2.
After 40 2 = 80 minutes, population = 2 2 = .
After 40 3 = 120 minutes, population = .
After 40 4 = 160 minutes, population = .
After 40 5 = 200 minutes, population = .
After 40 6 = 240 minutes, the population becomes = .
So, after 240 minutes or 4 hours 1 bacteria will form = 64 bacteria. Since, we have bacteria in total, so each one will split into 64 bacteria. Therefore, we have,
Total bacteria formed from the culture = .
So, the correct answer is “Option A”.
Note: One may note, we have converted 4 hours into 240 minutes. One can also apply the reverse process by converting 40 minutes into required hours by dividing it with 60 and then calculate the population after 4 hours. We have first calculated the population for 1 bacteria because if we will directly consider bacteria then we may get confused.
Complete step by step answer:
Here, we have to find the total population of bacteria after 4 hours if one bacteria splits into two parts after each 40 minutes. We have a total of
Let us calculate the total population formed from 1 bacteria.
We have 4 hours given.
We know that, 1 hour = 60 minutes.
Now, the population of bacteria formed after 40 minutes = 2.
After 40
After 40
After 40
After 40
After 40
So, after 240 minutes or 4 hours 1 bacteria will form
Total bacteria formed from the culture =
So, the correct answer is “Option A”.
Note: One may note, we have converted 4 hours into 240 minutes. One can also apply the reverse process by converting 40 minutes into required hours by dividing it with 60 and then calculate the population after 4 hours. We have first calculated the population for 1 bacteria because if we will directly consider
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