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After incubation of two bacteria for 132 min the no. of bacteria present is 20000 . what is the generation time?? a. 2 min b. 5 min c. 10 min d. 30 min explaination pls ?
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After incubation of two bacteria for 132 min the no. of bacteria prese...
Calculation of Generation Time
Given:
Initial no. of bacteria (N₀) = unknown
Final no. of bacteria (N) = 20000
Time taken (t) = 132 min
Formula:
Generation time (G) = t / n
where n = log(N) - log(N₀)
Calculation:
Since the initial no. of bacteria (N₀) is unknown, we need to calculate it using the formula for bacterial growth:
N = N₀ x 2^(n)
where n is the number of generations
Let's assume that the initial no. of bacteria is N₀ = 1000.
Then, the number of generations would be:
n = log(N) - log(N₀) = log(20000) - log(1000) = 1.301 - 3 = -1.699
Since the number of generations cannot be negative, we need to adjust the initial value of N₀.
Let's try N₀ = 100.
Then, the number of generations would be:
n = log(N) - log(N₀) = log(20000) - log(100) = 4.301 - 2 = 2.301
Now, we can calculate the generation time using the formula:
G = t / n = 132 / 2.301 = 57.4 min
Therefore, the answer is (d) 30 min.
Explanation:
The generation time is the time taken by a single bacterium to divide into two daughter cells. It is an important parameter for studying bacterial growth and replication. In this problem, we are given the final no. of bacteria after a certain time interval and we need to calculate the generation time. To do so, we need to first calculate the number of generations by assuming an initial value of N₀ and using the formula for bacterial growth. If the number of generations is negative, we need to adjust the value of N₀ until we get a positive value. Once we know the number of generations, we can use the formula for generation time to obtain the answer.
Given:
Initial no. of bacteria (N₀) = unknown
Final no. of bacteria (N) = 20000
Time taken (t) = 132 min
Formula:
Generation time (G) = t / n
where n = log(N) - log(N₀)
Calculation:
Since the initial no. of bacteria (N₀) is unknown, we need to calculate it using the formula for bacterial growth:
N = N₀ x 2^(n)
where n is the number of generations
Let's assume that the initial no. of bacteria is N₀ = 1000.
Then, the number of generations would be:
n = log(N) - log(N₀) = log(20000) - log(1000) = 1.301 - 3 = -1.699
Since the number of generations cannot be negative, we need to adjust the initial value of N₀.
Let's try N₀ = 100.
Then, the number of generations would be:
n = log(N) - log(N₀) = log(20000) - log(100) = 4.301 - 2 = 2.301
Now, we can calculate the generation time using the formula:
G = t / n = 132 / 2.301 = 57.4 min
Therefore, the answer is (d) 30 min.
Explanation:
The generation time is the time taken by a single bacterium to divide into two daughter cells. It is an important parameter for studying bacterial growth and replication. In this problem, we are given the final no. of bacteria after a certain time interval and we need to calculate the generation time. To do so, we need to first calculate the number of generations by assuming an initial value of N₀ and using the formula for bacterial growth. If the number of generations is negative, we need to adjust the value of N₀ until we get a positive value. Once we know the number of generations, we can use the formula for generation time to obtain the answer.
Community Answer
After incubation of two bacteria for 132 min the no. of bacteria prese...
2^ 13.2=20000, so 132/13.2=10min
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After incubation of two bacteria for 132 min the no. of bacteria present is 20000 . what is the generation time?? a. 2 min b. 5 min c. 10 min d. 30 min explaination pls ?
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After incubation of two bacteria for 132 min the no. of bacteria present is 20000 . what is the generation time?? a. 2 min b. 5 min c. 10 min d. 30 min explaination pls ? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about After incubation of two bacteria for 132 min the no. of bacteria present is 20000 . what is the generation time?? a. 2 min b. 5 min c. 10 min d. 30 min explaination pls ? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for After incubation of two bacteria for 132 min the no. of bacteria present is 20000 . what is the generation time?? a. 2 min b. 5 min c. 10 min d. 30 min explaination pls ?.
After incubation of two bacteria for 132 min the no. of bacteria present is 20000 . what is the generation time?? a. 2 min b. 5 min c. 10 min d. 30 min explaination pls ? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about After incubation of two bacteria for 132 min the no. of bacteria present is 20000 . what is the generation time?? a. 2 min b. 5 min c. 10 min d. 30 min explaination pls ? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for After incubation of two bacteria for 132 min the no. of bacteria present is 20000 . what is the generation time?? a. 2 min b. 5 min c. 10 min d. 30 min explaination pls ?.
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