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A radioactive element has half life period 800 years. After 6400 years what amount will remain? [1989]
- a)1/2
- b)1/16
- c)1/8
- d)1/256
Correct answer is option 'D'. Can you explain this answer?
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A radioactive element has half life period 800 years. After 6400 years...
No. of half lives,
Most Upvoted Answer
A radioactive element has half life period 800 years. After 6400 years...
After 6400 years mass is=?...
given half life is 800 years.
so it will take total 8 half lives to become 6400 years
1st half life
1..800year.->1/2
2nd half life
1/2..800year.->1/4
3rd half life
1/4..800year..->1/8
4th half life
1/8..800 year.->1/16
5th half life
1/16..800 year..->1/32
6th half life
1/32..800year..->1/64
7th half life
1/64.800year..->1/128
8th half life
1/128..800 year..->1/256
given half life is 800 years.
so it will take total 8 half lives to become 6400 years
1st half life
1..800year.->1/2
2nd half life
1/2..800year.->1/4
3rd half life
1/4..800year..->1/8
4th half life
1/8..800 year.->1/16
5th half life
1/16..800 year..->1/32
6th half life
1/32..800year..->1/64
7th half life
1/64.800year..->1/128
8th half life
1/128..800 year..->1/256
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A radioactive element has half life period 800 years. After 6400 years...
Half-life is the time it takes for half of the radioactive substance to decay. In this case, the half-life period of the radioactive element is 800 years. This means that after 800 years, half of the original amount will remain.
To solve this problem, we can calculate how many half-life periods have passed in 6400 years.
Calculating the number of half-life periods:
Number of half-life periods = Total time / Half-life period
Number of half-life periods = 6400 years / 800 years
Number of half-life periods = 8
This means that 8 half-life periods have passed in 6400 years.
Calculating the remaining amount:
To calculate the remaining amount, we can use the formula:
Remaining amount = Initial amount * (1/2)^(Number of half-life periods)
In this case, the initial amount is 1 (assuming the initial amount is 100%).
Remaining amount = 1 * (1/2)^8
Remaining amount = 1/256
Therefore, after 6400 years, 1/256th or 1/256 of the original amount will remain.
Hence, the correct answer is option D) 1/256.
To solve this problem, we can calculate how many half-life periods have passed in 6400 years.
Calculating the number of half-life periods:
Number of half-life periods = Total time / Half-life period
Number of half-life periods = 6400 years / 800 years
Number of half-life periods = 8
This means that 8 half-life periods have passed in 6400 years.
Calculating the remaining amount:
To calculate the remaining amount, we can use the formula:
Remaining amount = Initial amount * (1/2)^(Number of half-life periods)
In this case, the initial amount is 1 (assuming the initial amount is 100%).
Remaining amount = 1 * (1/2)^8
Remaining amount = 1/256
Therefore, after 6400 years, 1/256th or 1/256 of the original amount will remain.
Hence, the correct answer is option D) 1/256.
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A radioactive element has half life period 800 years. After 6400 years what amount will remain? [1989]a)1/2b)1/16c)1/8d)1/256Correct answer is option 'D'. Can you explain this answer?
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