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The half-life period of radioactive materials is 15 minutes. What percent of radioactive of that material
with remain after 45 minutes ?
with remain after 45 minutes ?
- a)17.5%
- b)15%
- c)12.5%
- d)10%
Correct answer is option 'C'. Can you explain this answer?
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The half-life period of radioactive materials is 15 minutes. What perc...
**Explanation:**
To calculate the percent of radioactive material that remains after a certain amount of time, we can use the formula:
**Percent Remaining = (1/2)^(t / half-life) * 100%**
Where:
- t is the amount of time that has passed
- half-life is the half-life period of the radioactive material
In this case, the half-life period of the radioactive material is 15 minutes and we want to find the percent remaining after 45 minutes.
**Step 1: Calculate the number of half-lives that have passed**
To do this, we divide the total time (45 minutes) by the half-life period (15 minutes):
Number of half-lives = 45 minutes / 15 minutes = 3 half-lives
**Step 2: Calculate the percent remaining**
Using the formula mentioned earlier, we can calculate the percent remaining after 3 half-lives:
Percent Remaining = (1/2)^(3) * 100%
= (1/2) * (1/2) * (1/2) * 100%
= 1/8 * 100%
= 12.5%
Therefore, after 45 minutes, 12.5% of the radioactive material will remain.
Hence, the correct answer is option C) 12.5%.
To calculate the percent of radioactive material that remains after a certain amount of time, we can use the formula:
**Percent Remaining = (1/2)^(t / half-life) * 100%**
Where:
- t is the amount of time that has passed
- half-life is the half-life period of the radioactive material
In this case, the half-life period of the radioactive material is 15 minutes and we want to find the percent remaining after 45 minutes.
**Step 1: Calculate the number of half-lives that have passed**
To do this, we divide the total time (45 minutes) by the half-life period (15 minutes):
Number of half-lives = 45 minutes / 15 minutes = 3 half-lives
**Step 2: Calculate the percent remaining**
Using the formula mentioned earlier, we can calculate the percent remaining after 3 half-lives:
Percent Remaining = (1/2)^(3) * 100%
= (1/2) * (1/2) * (1/2) * 100%
= 1/8 * 100%
= 12.5%
Therefore, after 45 minutes, 12.5% of the radioactive material will remain.
Hence, the correct answer is option C) 12.5%.
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