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Half life of radioactive substance is 20 min. Difference between points of time when 33% disintegrate and 67% disintegrated is approximately1.) 10 min 2.) 20 min 3.) 30 min 4.) 40 min?
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Half life of radioactive substance is 20 min. Difference between point...
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Half life of radioactive substance is 20 min. Difference between point...
Explanation
The half-life of a radioactive substance is the time it takes for half of the substance to decay or disintegrate. In this case, the half-life is 20 minutes, which means that after 20 minutes, half of the substance would have disintegrated.
Calculating the time difference between 33% and 67% disintegration
To calculate the time difference between 33% and 67% disintegration, we need to first find out how long it takes for 33% and 67% of the substance to disintegrate. We can use the formula:
Amount remaining = Initial amount x (1/2)^(t/half-life)
where:
- t = time elapsed
- half-life = 20 minutes
Let's start with 33% disintegration:
0.33 = 1 x (1/2)^(t/20)
Take the natural logarithm of both sides:
ln(0.33) = (t/20) ln(1/2)
Solve for t:
t = 20 ln(0.33)/ln(1/2) ≈ 10.2 minutes
Now let's move on to 67% disintegration:
0.67 = 1 x (1/2)^(t/20)
Take the natural logarithm of both sides:
ln(0.67) = (t/20) ln(1/2)
Solve for t:
t = 20 ln(0.67)/ln(1/2) ≈ 22.8 minutes
Calculating the time difference
The difference between the two times is:
22.8 minutes - 10.2 minutes ≈ 12.6 minutes ≈ 13 minutes (rounded up)
Conclusion
The approximate time difference between 33% and 67% disintegration is 13 minutes. This means that it takes approximately 13 minutes for the substance to disintegrate from 33% to 67%.
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Half life of radioactive substance is 20 min. Difference between points of time when 33% disintegrate and 67% disintegrated is approximately1.) 10 min 2.) 20 min 3.) 30 min 4.) 40 min?
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Half life of radioactive substance is 20 min. Difference between points of time when 33% disintegrate and 67% disintegrated is approximately1.) 10 min 2.) 20 min 3.) 30 min 4.) 40 min? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Half life of radioactive substance is 20 min. Difference between points of time when 33% disintegrate and 67% disintegrated is approximately1.) 10 min 2.) 20 min 3.) 30 min 4.) 40 min? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Half life of radioactive substance is 20 min. Difference between points of time when 33% disintegrate and 67% disintegrated is approximately1.) 10 min 2.) 20 min 3.) 30 min 4.) 40 min?.
Half life of radioactive substance is 20 min. Difference between points of time when 33% disintegrate and 67% disintegrated is approximately1.) 10 min 2.) 20 min 3.) 30 min 4.) 40 min? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Half life of radioactive substance is 20 min. Difference between points of time when 33% disintegrate and 67% disintegrated is approximately1.) 10 min 2.) 20 min 3.) 30 min 4.) 40 min? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Half life of radioactive substance is 20 min. Difference between points of time when 33% disintegrate and 67% disintegrated is approximately1.) 10 min 2.) 20 min 3.) 30 min 4.) 40 min?.
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