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If 20% of the radioactive substance decays in every 10 years then percentage of substance that remains after 20 years is A. 60% B. 62% C. 64% D. 66%?
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If 20% of the radioactive substance decays in every 10 years then perc...
Solution:
Given, 20% of the radioactive substance decays in every 10 years.
Let us assume that the initial amount of the substance is 100 grams.
After the first 10 years, 20% of the substance will decay, hence the remaining amount will be 80 grams.
After the second 10 years, another 20% of the remaining substance will decay, which is 20% of 80 grams = 16 grams.
Therefore, the total amount of substance remaining after 20 years will be 80 grams - 16 grams = 64 grams.
Thus, the percentage of substance that remains after 20 years is:
(64/100) * 100% = 64%
Hence, the answer is option C. 64%.
Therefore, the radioactive substance will have 64% of its initial amount after 20 years.
Given, 20% of the radioactive substance decays in every 10 years.
Let us assume that the initial amount of the substance is 100 grams.
After the first 10 years, 20% of the substance will decay, hence the remaining amount will be 80 grams.
After the second 10 years, another 20% of the remaining substance will decay, which is 20% of 80 grams = 16 grams.
Therefore, the total amount of substance remaining after 20 years will be 80 grams - 16 grams = 64 grams.
Thus, the percentage of substance that remains after 20 years is:
(64/100) * 100% = 64%
Hence, the answer is option C. 64%.
Therefore, the radioactive substance will have 64% of its initial amount after 20 years.
Community Answer
If 20% of the radioactive substance decays in every 10 years then perc...
Let N be the initial number of entities present.
in 10year 20% of it decays means the number of entities left =N - 20% of N = N - N/5 = 4N/5
then again after 10 year, number of entities left =
4N/5 - 20%of 4N/5 = 4N/5 - 4N/25 =16N/25
Hence in sum up, % of substance present = 16/25 of initial value =( 16/25 )*100% = 64%
in 10year 20% of it decays means the number of entities left =N - 20% of N = N - N/5 = 4N/5
then again after 10 year, number of entities left =
4N/5 - 20%of 4N/5 = 4N/5 - 4N/25 =16N/25
Hence in sum up, % of substance present = 16/25 of initial value =( 16/25 )*100% = 64%
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If 20% of the radioactive substance decays in every 10 years then percentage of substance that remains after 20 years is A. 60% B. 62% C. 64% D. 66%?
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If 20% of the radioactive substance decays in every 10 years then percentage of substance that remains after 20 years is A. 60% B. 62% C. 64% D. 66%? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If 20% of the radioactive substance decays in every 10 years then percentage of substance that remains after 20 years is A. 60% B. 62% C. 64% D. 66%? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 20% of the radioactive substance decays in every 10 years then percentage of substance that remains after 20 years is A. 60% B. 62% C. 64% D. 66%?.
If 20% of the radioactive substance decays in every 10 years then percentage of substance that remains after 20 years is A. 60% B. 62% C. 64% D. 66%? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If 20% of the radioactive substance decays in every 10 years then percentage of substance that remains after 20 years is A. 60% B. 62% C. 64% D. 66%? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 20% of the radioactive substance decays in every 10 years then percentage of substance that remains after 20 years is A. 60% B. 62% C. 64% D. 66%?.
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