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A bacterial cell divides once every minute and it takes 1 hour to fill a cup. How much time will it takes to fill half the cup? A) 30 minutes B) 60 minutes C) 20 minutes D) 59 minutes
Correct answer is option D. Can you explain this answer?
Correct answer is option D. Can you explain this answer?
Most Upvoted Answer
A bacterial cell divides once every minute and it takes 1 hour to fill...
Explanation:
To solve this problem, we need to use the concept of exponential growth of bacteria. Each bacterial cell divides into two cells every minute, which means that the number of bacterial cells doubles every minute.
Step 1: Find out how many times the bacterial cell will divide in 1 hour (60 minutes).
- Since the cell divides once every minute, it will divide 60 times in 1 hour.
Step 2: Calculate the total number of bacterial cells in 1 hour.
- Since each cell divides into two cells every minute, the total number of cells after 60 divisions will be 2^60.
Step 3: Calculate the volume of the cup filled by the bacterial cells.
- Since we know that it takes 1 hour to fill the cup, the volume of the cup filled by the bacterial cells in 1 hour is 1 cup.
Step 4: Calculate the volume of the cup filled by half the number of bacterial cells.
- Since the number of bacterial cells doubles every minute, half the number of cells will be present at the 59th division. Therefore, the volume of the cup filled by half the number of bacterial cells will be (1/2)^59 cups.
Step 5: Calculate the time taken to fill half the cup.
- We need to find out how much time it takes to fill (1/2)^59 cups, which is approximately 1.8 x 10^-18 cups. Since the bacterial cells fill 1 cup in 60 minutes, it will take approximately 59 minutes to fill half the cup.
Therefore, the correct answer is option D) 59 minutes.
To solve this problem, we need to use the concept of exponential growth of bacteria. Each bacterial cell divides into two cells every minute, which means that the number of bacterial cells doubles every minute.
Step 1: Find out how many times the bacterial cell will divide in 1 hour (60 minutes).
- Since the cell divides once every minute, it will divide 60 times in 1 hour.
Step 2: Calculate the total number of bacterial cells in 1 hour.
- Since each cell divides into two cells every minute, the total number of cells after 60 divisions will be 2^60.
Step 3: Calculate the volume of the cup filled by the bacterial cells.
- Since we know that it takes 1 hour to fill the cup, the volume of the cup filled by the bacterial cells in 1 hour is 1 cup.
Step 4: Calculate the volume of the cup filled by half the number of bacterial cells.
- Since the number of bacterial cells doubles every minute, half the number of cells will be present at the 59th division. Therefore, the volume of the cup filled by half the number of bacterial cells will be (1/2)^59 cups.
Step 5: Calculate the time taken to fill half the cup.
- We need to find out how much time it takes to fill (1/2)^59 cups, which is approximately 1.8 x 10^-18 cups. Since the bacterial cells fill 1 cup in 60 minutes, it will take approximately 59 minutes to fill half the cup.
Therefore, the correct answer is option D) 59 minutes.
Community Answer
A bacterial cell divides once every minute and it takes 1 hour to fill...
59 minutes
the bacteria doubles its no. every 1 min .
1 hour= 60 min = full cup
therefore , 59 min = half cup
in that 1 min.(60-59) bacteria will double its no.
that is half cup will get doubled that is full cup
the bacteria doubles its no. every 1 min .
1 hour= 60 min = full cup
therefore , 59 min = half cup
in that 1 min.(60-59) bacteria will double its no.
that is half cup will get doubled that is full cup
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A bacterial cell divides once every minute and it takes 1 hour to fill a cup. How much time will it takes to fill half the cup? A) 30 minutes B) 60 minutes C) 20 minutes D) 59 minutes Correct answer is option D. Can you explain this answer?
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A bacterial cell divides once every minute and it takes 1 hour to fill a cup. How much time will it takes to fill half the cup? A) 30 minutes B) 60 minutes C) 20 minutes D) 59 minutes Correct answer is option D. 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 bacterial cell divides once every minute and it takes 1 hour to fill a cup. How much time will it takes to fill half the cup? A) 30 minutes B) 60 minutes C) 20 minutes D) 59 minutes Correct answer is option D. 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 bacterial cell divides once every minute and it takes 1 hour to fill a cup. How much time will it takes to fill half the cup? A) 30 minutes B) 60 minutes C) 20 minutes D) 59 minutes Correct answer is option D. Can you explain this answer?.
A bacterial cell divides once every minute and it takes 1 hour to fill a cup. How much time will it takes to fill half the cup? A) 30 minutes B) 60 minutes C) 20 minutes D) 59 minutes Correct answer is option D. 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 bacterial cell divides once every minute and it takes 1 hour to fill a cup. How much time will it takes to fill half the cup? A) 30 minutes B) 60 minutes C) 20 minutes D) 59 minutes Correct answer is option D. 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 bacterial cell divides once every minute and it takes 1 hour to fill a cup. How much time will it takes to fill half the cup? A) 30 minutes B) 60 minutes C) 20 minutes D) 59 minutes Correct answer is option D. Can you explain this answer?.
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