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A cell's division time is 1minute. In 20 minutes a culture tube (culture medium) is 1/8th filled with cells. When the tube will be fully filled? a) 21 minutes b) 23 minutes c) 60 minutes d) 160 minutes Correct answer is option (b) Can you explain this answer?
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A cell's division time is 1minute. In 20 minutes a culture tube (cultu...
To solve this problem, we need to understand the concept of exponential growth and the relationship between the number of cells and time.
Exponential growth is a pattern of growth where the rate of increase is proportional to the current amount. In the case of cell division, each cell divides into two daughter cells, and these daughter cells can then divide again, resulting in an exponential increase in the number of cells over time.
Let's break down the problem step by step:
1. We are given that the cell division time is 1 minute. This means that every minute, each cell in the culture tube divides into two daughter cells.
2. In 20 minutes, the culture tube is 1/8th filled with cells. This means that after 20 minutes, there are 1/8th of the total number of cells needed to fully fill the tube.
3. Let's assume that the total number of cells needed to fully fill the tube is 'X'.
4. After 20 minutes, the number of cells in the tube is 1/8th of X. Therefore, we can write the equation: (1/8)X = initial number of cells.
5. Now, we need to find out how many more minutes it will take for the number of cells to reach 'X'. Let's call this time 't'.
6. After 't' minutes, the number of cells will be X/2, as each cell divides into two daughter cells every minute.
7. We can now write the equation: (1/8)X * 2^t = X.
8. Simplifying the equation, we get: 2^t = 8.
9. Taking the logarithm of both sides, we get: t * log(2) = log(8).
10. Simplifying further, we find: t = log(8)/log(2).
11. Using logarithm properties, we find: t = 3.
12. Therefore, it will take an additional 3 minutes for the tube to be fully filled.
13. Adding the initial 20 minutes, the total time required is 20 + 3 = 23 minutes.
Thus, the correct answer is option (b) 23 minutes.
Exponential growth is a pattern of growth where the rate of increase is proportional to the current amount. In the case of cell division, each cell divides into two daughter cells, and these daughter cells can then divide again, resulting in an exponential increase in the number of cells over time.
Let's break down the problem step by step:
1. We are given that the cell division time is 1 minute. This means that every minute, each cell in the culture tube divides into two daughter cells.
2. In 20 minutes, the culture tube is 1/8th filled with cells. This means that after 20 minutes, there are 1/8th of the total number of cells needed to fully fill the tube.
3. Let's assume that the total number of cells needed to fully fill the tube is 'X'.
4. After 20 minutes, the number of cells in the tube is 1/8th of X. Therefore, we can write the equation: (1/8)X = initial number of cells.
5. Now, we need to find out how many more minutes it will take for the number of cells to reach 'X'. Let's call this time 't'.
6. After 't' minutes, the number of cells will be X/2, as each cell divides into two daughter cells every minute.
7. We can now write the equation: (1/8)X * 2^t = X.
8. Simplifying the equation, we get: 2^t = 8.
9. Taking the logarithm of both sides, we get: t * log(2) = log(8).
10. Simplifying further, we find: t = log(8)/log(2).
11. Using logarithm properties, we find: t = 3.
12. Therefore, it will take an additional 3 minutes for the tube to be fully filled.
13. Adding the initial 20 minutes, the total time required is 20 + 3 = 23 minutes.
Thus, the correct answer is option (b) 23 minutes.
Community Answer
A cell's division time is 1minute. In 20 minutes a culture tube (cultu...
20th minute —> 1/8th of culture tube
Since cell division takes place every minute, the volume is doubled every minute
21st minute —> 1/4th of culture tube
22nd minute —> half of culture tube
23rd minute —> culture tube is completely filles
Since cell division takes place every minute, the volume is doubled every minute
21st minute —> 1/4th of culture tube
22nd minute —> half of culture tube
23rd minute —> culture tube is completely filles
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A cell's division time is 1minute. In 20 minutes a culture tube (culture medium) is 1/8th filled with cells. When the tube will be fully filled? a) 21 minutes b) 23 minutes c) 60 minutes d) 160 minutes Correct answer is option (b) Can you explain this answer?
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A cell's division time is 1minute. In 20 minutes a culture tube (culture medium) is 1/8th filled with cells. When the tube will be fully filled? a) 21 minutes b) 23 minutes c) 60 minutes d) 160 minutes Correct answer is option (b) Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A cell's division time is 1minute. In 20 minutes a culture tube (culture medium) is 1/8th filled with cells. When the tube will be fully filled? a) 21 minutes b) 23 minutes c) 60 minutes d) 160 minutes Correct answer is option (b) Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cell's division time is 1minute. In 20 minutes a culture tube (culture medium) is 1/8th filled with cells. When the tube will be fully filled? a) 21 minutes b) 23 minutes c) 60 minutes d) 160 minutes Correct answer is option (b) Can you explain this answer?.
A cell's division time is 1minute. In 20 minutes a culture tube (culture medium) is 1/8th filled with cells. When the tube will be fully filled? a) 21 minutes b) 23 minutes c) 60 minutes d) 160 minutes Correct answer is option (b) Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A cell's division time is 1minute. In 20 minutes a culture tube (culture medium) is 1/8th filled with cells. When the tube will be fully filled? a) 21 minutes b) 23 minutes c) 60 minutes d) 160 minutes Correct answer is option (b) Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cell's division time is 1minute. In 20 minutes a culture tube (culture medium) is 1/8th filled with cells. When the tube will be fully filled? a) 21 minutes b) 23 minutes c) 60 minutes d) 160 minutes Correct answer is option (b) Can you explain this answer?.
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A cell's division time is 1minute. In 20 minutes a culture tube (culture medium) is 1/8th filled with cells. When the tube will be fully filled? a) 21 minutes b) 23 minutes c) 60 minutes d) 160 minutes Correct answer is option (b) Can you explain this answer?, a detailed solution for A cell's division time is 1minute. In 20 minutes a culture tube (culture medium) is 1/8th filled with cells. When the tube will be fully filled? a) 21 minutes b) 23 minutes c) 60 minutes d) 160 minutes Correct answer is option (b) Can you explain this answer? has been provided alongside types of A cell's division time is 1minute. In 20 minutes a culture tube (culture medium) is 1/8th filled with cells. When the tube will be fully filled? a) 21 minutes b) 23 minutes c) 60 minutes d) 160 minutes Correct answer is option (b) Can you explain this answer? theory, EduRev gives you an
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