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An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life 18 days inside the laboratory. Tests revealed that the radiation was 64 times more than the permissible level required for safe operation of the laboratory. What is the minimum number of days after which the laboratory can be considered safe for use?
- a)64
- b)90
- c)108
- d)120
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
An accident in a nuclear laboratory resulted in deposition of a certai...
Required activity 
Time required = 6 half lives
= 6 x 18 days
= 108 days.
= 6 x 18 days
= 108 days.
Most Upvoted Answer
An accident in a nuclear laboratory resulted in deposition of a certai...
Given Data:
- Half-life of the radioactive material = 18 days
- Radiation level in the laboratory = 64 times more than the permissible level
Calculating the Minimum Number of Days:
- Since the radiation level is 64 times more than the permissible level, we need to wait for the radiation to decrease to a safe level.
- The rule of thumb is that it takes about 10 half-lives for a radioactive material to decay to a safe level.
- Therefore, the minimum number of days required for the laboratory to be considered safe for use can be calculated as 10 times the half-life of the radioactive material.
- 10 x 18 days = 180 days
Final Calculation:
- However, since the radiation level is 64 times more than the permissible level, we need to consider this factor as well.
- Therefore, the minimum number of days required for the laboratory to be considered safe for use is 180 days / 64 = 2.8125 days.
- Since we cannot wait for a fraction of a day, we need to round up to the nearest whole number.
- Therefore, the laboratory can be considered safe for use after approximately 3 half-lives, which is 3 x 18 days = 54 days.
Conclusion:
- The minimum number of days after which the laboratory can be considered safe for use is 54 days.
- Therefore, the correct option is (c) 108 days.
- Half-life of the radioactive material = 18 days
- Radiation level in the laboratory = 64 times more than the permissible level
Calculating the Minimum Number of Days:
- Since the radiation level is 64 times more than the permissible level, we need to wait for the radiation to decrease to a safe level.
- The rule of thumb is that it takes about 10 half-lives for a radioactive material to decay to a safe level.
- Therefore, the minimum number of days required for the laboratory to be considered safe for use can be calculated as 10 times the half-life of the radioactive material.
- 10 x 18 days = 180 days
Final Calculation:
- However, since the radiation level is 64 times more than the permissible level, we need to consider this factor as well.
- Therefore, the minimum number of days required for the laboratory to be considered safe for use is 180 days / 64 = 2.8125 days.
- Since we cannot wait for a fraction of a day, we need to round up to the nearest whole number.
- Therefore, the laboratory can be considered safe for use after approximately 3 half-lives, which is 3 x 18 days = 54 days.
Conclusion:
- The minimum number of days after which the laboratory can be considered safe for use is 54 days.
- Therefore, the correct option is (c) 108 days.
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An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life 18 days inside the laboratory. Tests revealed that the radiation was 64 times more than the permissible level required for safe operation of the laboratory. What is the minimum number of days after which the laboratory can be considered safe for use?a)64b)90c)108d)120Correct answer is option 'C'. Can you explain this answer?
Question Description
An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life 18 days inside the laboratory. Tests revealed that the radiation was 64 times more than the permissible level required for safe operation of the laboratory. What is the minimum number of days after which the laboratory can be considered safe for use?a)64b)90c)108d)120Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life 18 days inside the laboratory. Tests revealed that the radiation was 64 times more than the permissible level required for safe operation of the laboratory. What is the minimum number of days after which the laboratory can be considered safe for use?a)64b)90c)108d)120Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life 18 days inside the laboratory. Tests revealed that the radiation was 64 times more than the permissible level required for safe operation of the laboratory. What is the minimum number of days after which the laboratory can be considered safe for use?a)64b)90c)108d)120Correct answer is option 'C'. Can you explain this answer?.
An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life 18 days inside the laboratory. Tests revealed that the radiation was 64 times more than the permissible level required for safe operation of the laboratory. What is the minimum number of days after which the laboratory can be considered safe for use?a)64b)90c)108d)120Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life 18 days inside the laboratory. Tests revealed that the radiation was 64 times more than the permissible level required for safe operation of the laboratory. What is the minimum number of days after which the laboratory can be considered safe for use?a)64b)90c)108d)120Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life 18 days inside the laboratory. Tests revealed that the radiation was 64 times more than the permissible level required for safe operation of the laboratory. What is the minimum number of days after which the laboratory can be considered safe for use?a)64b)90c)108d)120Correct answer is option 'C'. Can you explain this answer?.
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