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A sample contains 10-2 kg each of two substances A and B with half lives 4 s and 8 s, respectively. The ratio of their atomic weights is 1 : 2. The ratio of the amounts of A and B after 16 s is x/100. The value of x is ________. (In integers)
Correct answer is '25'. Can you explain this answer?
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A sample contains 10-2kg each of two substances A and B with half live...
Ratio of Half Lives and Atomic Weights
----------------------------------------
Let's begin by understanding the given information:
- Substances A and B have half-lives of 4 seconds and 8 seconds, respectively.
- The ratio of their atomic weights is 1:2.
Amount of Substances A and B after 16 seconds
----------------------------------------------
To find the ratio of the amounts of A and B after 16 seconds, we need to calculate the remaining amounts of A and B after this time period.
For Substance A:
- After 4 seconds, half of Substance A will remain, i.e., 10/2 = 5kg.
- After another 4 seconds (total 8 seconds), half of the remaining Substance A will remain, i.e., 5/2 = 2.5kg.
- After another 4 seconds (total 12 seconds), half of the remaining Substance A will remain, i.e., 2.5/2 = 1.25kg.
- After another 4 seconds (total 16 seconds), half of the remaining Substance A will remain, i.e., 1.25/2 = 0.625kg.
For Substance B:
- After 8 seconds, half of Substance B will remain, i.e., 10/2 = 5kg.
- After another 8 seconds (total 16 seconds), half of the remaining Substance B will remain, i.e., 5/2 = 2.5kg.
Ratio of Amounts A and B after 16 seconds
-----------------------------------------
The ratio of the amounts of A and B after 16 seconds can be calculated as follows:
- Amount of A after 16 seconds = 0.625kg
- Amount of B after 16 seconds = 2.5kg
To find the ratio, we divide the amount of A by the amount of B:
0.625/2.5 = 1/4
Converting the ratio to a percentage:
(1/4) * 100 = 25%
The value of x is 25, as the ratio of the amounts of A and B after 16 seconds is 25/100.
Conclusion
----------
The ratio of the amounts of substances A and B after 16 seconds is 25/100.
----------------------------------------
Let's begin by understanding the given information:
- Substances A and B have half-lives of 4 seconds and 8 seconds, respectively.
- The ratio of their atomic weights is 1:2.
Amount of Substances A and B after 16 seconds
----------------------------------------------
To find the ratio of the amounts of A and B after 16 seconds, we need to calculate the remaining amounts of A and B after this time period.
For Substance A:
- After 4 seconds, half of Substance A will remain, i.e., 10/2 = 5kg.
- After another 4 seconds (total 8 seconds), half of the remaining Substance A will remain, i.e., 5/2 = 2.5kg.
- After another 4 seconds (total 12 seconds), half of the remaining Substance A will remain, i.e., 2.5/2 = 1.25kg.
- After another 4 seconds (total 16 seconds), half of the remaining Substance A will remain, i.e., 1.25/2 = 0.625kg.
For Substance B:
- After 8 seconds, half of Substance B will remain, i.e., 10/2 = 5kg.
- After another 8 seconds (total 16 seconds), half of the remaining Substance B will remain, i.e., 5/2 = 2.5kg.
Ratio of Amounts A and B after 16 seconds
-----------------------------------------
The ratio of the amounts of A and B after 16 seconds can be calculated as follows:
- Amount of A after 16 seconds = 0.625kg
- Amount of B after 16 seconds = 2.5kg
To find the ratio, we divide the amount of A by the amount of B:
0.625/2.5 = 1/4
Converting the ratio to a percentage:
(1/4) * 100 = 25%
The value of x is 25, as the ratio of the amounts of A and B after 16 seconds is 25/100.
Conclusion
----------
The ratio of the amounts of substances A and B after 16 seconds is 25/100.
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A sample contains 10-2kg each of two substances A and B with half lives 4 s and 8 s, respectively. The ratio of their atomic weights is 1 : 2. The ratio of the amounts of A and B after 16 s is x/100.The value of x is ________. (In integers)Correct answer is '25'. Can you explain this answer?
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A sample contains 10-2kg each of two substances A and B with half lives 4 s and 8 s, respectively. The ratio of their atomic weights is 1 : 2. The ratio of the amounts of A and B after 16 s is x/100.The value of x is ________. (In integers)Correct answer is '25'. 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 A sample contains 10-2kg each of two substances A and B with half lives 4 s and 8 s, respectively. The ratio of their atomic weights is 1 : 2. The ratio of the amounts of A and B after 16 s is x/100.The value of x is ________. (In integers)Correct answer is '25'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sample contains 10-2kg each of two substances A and B with half lives 4 s and 8 s, respectively. The ratio of their atomic weights is 1 : 2. The ratio of the amounts of A and B after 16 s is x/100.The value of x is ________. (In integers)Correct answer is '25'. Can you explain this answer?.
A sample contains 10-2kg each of two substances A and B with half lives 4 s and 8 s, respectively. The ratio of their atomic weights is 1 : 2. The ratio of the amounts of A and B after 16 s is x/100.The value of x is ________. (In integers)Correct answer is '25'. 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 A sample contains 10-2kg each of two substances A and B with half lives 4 s and 8 s, respectively. The ratio of their atomic weights is 1 : 2. The ratio of the amounts of A and B after 16 s is x/100.The value of x is ________. (In integers)Correct answer is '25'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sample contains 10-2kg each of two substances A and B with half lives 4 s and 8 s, respectively. The ratio of their atomic weights is 1 : 2. The ratio of the amounts of A and B after 16 s is x/100.The value of x is ________. (In integers)Correct answer is '25'. Can you explain this answer?.
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A sample contains 10-2kg each of two substances A and B with half lives 4 s and 8 s, respectively. The ratio of their atomic weights is 1 : 2. The ratio of the amounts of A and B after 16 s is x/100.The value of x is ________. (In integers)Correct answer is '25'. Can you explain this answer?, a detailed solution for A sample contains 10-2kg each of two substances A and B with half lives 4 s and 8 s, respectively. The ratio of their atomic weights is 1 : 2. The ratio of the amounts of A and B after 16 s is x/100.The value of x is ________. (In integers)Correct answer is '25'. Can you explain this answer? has been provided alongside types of A sample contains 10-2kg each of two substances A and B with half lives 4 s and 8 s, respectively. The ratio of their atomic weights is 1 : 2. The ratio of the amounts of A and B after 16 s is x/100.The value of x is ________. (In integers)Correct answer is '25'. Can you explain this answer? theory, EduRev gives you an
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