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At some instant two radioactive substance are having amount in ratio of 2:1 their half lives are 12 hr and 16 hr then after two days the ratio of their quantities is?
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At some instant two radioactive substance are having amount in ratio o...
Answer:
Initial Quantities:
Let's assume that the initial quantities of the two radioactive substances are 2x and x units respectively, where x is a constant.
Therefore, their initial ratio is 2:1.
Half Lives:
The half-life of a radioactive substance is the time taken for half of it to decay.
Given, the half-lives of the first and second substances are 12 hours and 16 hours respectively.
This means that after 12 hours, the quantity of the first substance will reduce to x units, and after 16 hours, the quantity of the second substance will reduce to x/2 units.
Quantities After Two Days:
Two days = 48 hours
Let's calculate the quantities of the two substances after 48 hours:
- The first substance will have gone through 4 half-lives (12 x 4 = 48). Therefore, its quantity will become (1/2)^4 times its initial quantity of 2x = 2x/16.
- The second substance will have gone through 3 half-lives (16 x 3 = 48). Therefore, its quantity will become (1/2)^3 times its initial quantity of x = x/8.
Ratio of Quantities:
The ratio of the quantities of the two substances after 48 hours is:
(2x/16)/(x/8) = 1/2
Therefore, the ratio of the quantities of the two substances after 48 hours is 1:2.
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At some instant two radioactive substance are having amount in ratio of 2:1 their half lives are 12 hr and 16 hr then after two days the ratio of their quantities is?
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At some instant two radioactive substance are having amount in ratio of 2:1 their half lives are 12 hr and 16 hr then after two days the ratio of their quantities is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about At some instant two radioactive substance are having amount in ratio of 2:1 their half lives are 12 hr and 16 hr then after two days the ratio of their quantities is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At some instant two radioactive substance are having amount in ratio of 2:1 their half lives are 12 hr and 16 hr then after two days the ratio of their quantities is?.
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