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Bacterium divides every 35 minutes. If a culture containing 10⁵cells per mL is grown for 175 minutes,what will be the cell concentration per mL after 175 minutes? 1) 5×10⁵ cells 2) 35×10⁵cells 3) 32×10⁵cells 4) 174×10⁵cells?
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Bacterium divides every 35 minutes. If a culture containing 10⁵cells p...
Here;n=5...as the bacteria divides every 35 min..;so when it is let to divide until 175 min...then it will divide 5 times...The ;total no. of bacteria produced =2^n..=2^5=32...And its given that...the culture contains 10^5 cells..So; as for 1 cell ;...its 32..then for 10^5 cell - ?...it wil be...32×10^5...option c is true..
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Bacterium divides every 35 minutes. If a culture containing 10⁵cells p...
Calculation of Cell Concentration:
To calculate the cell concentration after 175 minutes, we need to determine the number of divisions that occur during this time period.
Number of Divisions:
Given that the bacterium divides every 35 minutes, we can calculate the number of divisions as follows:
Number of Divisions = Total Time / Division Time
Number of Divisions = 175 minutes / 35 minutes
Number of Divisions = 5
Hence, 5 divisions occur during the 175-minute period.
Calculation of Final Cell Concentration:
To calculate the final cell concentration, we can use the formula:
Final Cell Concentration = Initial Cell Concentration × (2 ^ Number of Divisions)
Given that the initial cell concentration is 10⁵ cells per mL, we can substitute the values into the formula:
Final Cell Concentration = 10⁵ cells per mL × (2 ^ 5)
Final Cell Concentration = 10⁵ cells per mL × 32
Final Cell Concentration = 32 × 10⁵ cells per mL
Answer:
Therefore, the cell concentration per mL after 175 minutes will be 32 × 10⁵ cells. Hence, option 3) 32×10⁵ cells is the correct answer.
Explanation:
During the 175-minute period, each bacterium undergoes 5 divisions. As each division doubles the number of cells, the total number of cells increases exponentially. The initial cell concentration of 10⁵ cells per mL is multiplied by 2 for each division.
Hence, the final cell concentration is calculated by multiplying the initial cell concentration by 2 raised to the power of the number of divisions. In this case, the final cell concentration is 32 times the initial concentration.
Therefore, the cell concentration per mL after 175 minutes is 32 × 10⁵ cells, which corresponds to option 3) in the given choices.
To calculate the cell concentration after 175 minutes, we need to determine the number of divisions that occur during this time period.
Number of Divisions:
Given that the bacterium divides every 35 minutes, we can calculate the number of divisions as follows:
Number of Divisions = Total Time / Division Time
Number of Divisions = 175 minutes / 35 minutes
Number of Divisions = 5
Hence, 5 divisions occur during the 175-minute period.
Calculation of Final Cell Concentration:
To calculate the final cell concentration, we can use the formula:
Final Cell Concentration = Initial Cell Concentration × (2 ^ Number of Divisions)
Given that the initial cell concentration is 10⁵ cells per mL, we can substitute the values into the formula:
Final Cell Concentration = 10⁵ cells per mL × (2 ^ 5)
Final Cell Concentration = 10⁵ cells per mL × 32
Final Cell Concentration = 32 × 10⁵ cells per mL
Answer:
Therefore, the cell concentration per mL after 175 minutes will be 32 × 10⁵ cells. Hence, option 3) 32×10⁵ cells is the correct answer.
Explanation:
During the 175-minute period, each bacterium undergoes 5 divisions. As each division doubles the number of cells, the total number of cells increases exponentially. The initial cell concentration of 10⁵ cells per mL is multiplied by 2 for each division.
Hence, the final cell concentration is calculated by multiplying the initial cell concentration by 2 raised to the power of the number of divisions. In this case, the final cell concentration is 32 times the initial concentration.
Therefore, the cell concentration per mL after 175 minutes is 32 × 10⁵ cells, which corresponds to option 3) in the given choices.
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Bacterium divides every 35 minutes. If a culture containing 10⁵cells per mL is grown for 175 minutes,what will be the cell concentration per mL after 175 minutes? 1) 5×10⁵ cells 2) 35×10⁵cells 3) 32×10⁵cells 4) 174×10⁵cells?
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Bacterium divides every 35 minutes. If a culture containing 10⁵cells per mL is grown for 175 minutes,what will be the cell concentration per mL after 175 minutes? 1) 5×10⁵ cells 2) 35×10⁵cells 3) 32×10⁵cells 4) 174×10⁵cells? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Bacterium divides every 35 minutes. If a culture containing 10⁵cells per mL is grown for 175 minutes,what will be the cell concentration per mL after 175 minutes? 1) 5×10⁵ cells 2) 35×10⁵cells 3) 32×10⁵cells 4) 174×10⁵cells? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Bacterium divides every 35 minutes. If a culture containing 10⁵cells per mL is grown for 175 minutes,what will be the cell concentration per mL after 175 minutes? 1) 5×10⁵ cells 2) 35×10⁵cells 3) 32×10⁵cells 4) 174×10⁵cells?.
Bacterium divides every 35 minutes. If a culture containing 10⁵cells per mL is grown for 175 minutes,what will be the cell concentration per mL after 175 minutes? 1) 5×10⁵ cells 2) 35×10⁵cells 3) 32×10⁵cells 4) 174×10⁵cells? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Bacterium divides every 35 minutes. If a culture containing 10⁵cells per mL is grown for 175 minutes,what will be the cell concentration per mL after 175 minutes? 1) 5×10⁵ cells 2) 35×10⁵cells 3) 32×10⁵cells 4) 174×10⁵cells? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Bacterium divides every 35 minutes. If a culture containing 10⁵cells per mL is grown for 175 minutes,what will be the cell concentration per mL after 175 minutes? 1) 5×10⁵ cells 2) 35×10⁵cells 3) 32×10⁵cells 4) 174×10⁵cells?.
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