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Two radioactive materials A and B have decay constants 10λ and λ,respectively . If initially they have the same number of nuclei, then the ratio of the number of nuclei, then the ratio of the number of nuclei of A to that of B will be 1/e after a time
- a)1/9λ
- b)1/11λ
- c)1/10λ
- d)11/10λ
Correct answer is option 'A'. Can you explain this answer?
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Two radioactive materials A and B have decay constants 10λand &...
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Two radioactive materials A and B have decay constants 10λand &...
The decay constant is a measure of how quickly a radioactive material decays. It is usually denoted by the symbol λ and has units of inverse time (such as per second or per year).
In this case, material A has a decay constant of 10 and material B also has a decay constant of 10. This means that both materials decay at the same rate.
The decay constant determines the half-life of a radioactive material. The half-life is the time it takes for half of the radioactive material to decay. For a material with a decay constant of 10, the half-life is given by the equation:
t1/2 = ln(2) / λ
where ln(2) is the natural logarithm of 2, approximately 0.693. Substituting λ = 10 into the equation, we get:
t1/2 = ln(2) / 10 ≈ 0.0693
So, the half-life of both materials A and B is approximately 0.0693 units of time.
In this case, material A has a decay constant of 10 and material B also has a decay constant of 10. This means that both materials decay at the same rate.
The decay constant determines the half-life of a radioactive material. The half-life is the time it takes for half of the radioactive material to decay. For a material with a decay constant of 10, the half-life is given by the equation:
t1/2 = ln(2) / λ
where ln(2) is the natural logarithm of 2, approximately 0.693. Substituting λ = 10 into the equation, we get:
t1/2 = ln(2) / 10 ≈ 0.0693
So, the half-life of both materials A and B is approximately 0.0693 units of time.
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Two radioactive materials A and B have decay constants 10λand λ,respectively . If initially they have the same number of nuclei, then the ratio of the number of nuclei, then the ratio of the number of nuclei of A to that of B will be 1/e after a timea)1/9λb)1/11λc)1/10λd)11/10λCorrect answer is option 'A'. Can you explain this answer?
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