Question
Medium
Solving time: 3 mins
Two radioactive substances and have decay constants and , respectively. At , a sample has the same number of the two nuclei. The time taken for the ratio of the number of nuclei to become will be
(a)
(b)
(c)
(d)
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Text solutionVerified
Exp. (b)
Number of active nuclei remained after time in a sample of radioactive substance is given by
where, initial number of nuclei at and decay constant.
Here, at ,
Number of nuclei in sample and are equal,
i.e.
Also, and
So, after time t, number of active nuclei of and are
and
If , then
Comparing the power of on both sides, we get
Number of active nuclei remained after time in a sample of radioactive substance is given by
where, initial number of nuclei at and decay constant.
Here, at ,
Number of nuclei in sample and are equal,
i.e.
Also, and
So, after time t, number of active nuclei of and are
and
If , then
Comparing the power of on both sides, we get
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Question Text | Two radioactive substances and have decay constants and , respectively. At , a sample has the same number of the two nuclei. The time taken for the ratio of the number of nuclei to become will be (a) (b) (c) (d) |
Topic | Atoms |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 |
Upvotes | 40 |