Question
Medium
Solving time: 3 mins
Uranium ores on the earth at the present time typically have a composition consisting of of the isotope and of the isotope . The half-lives of these isotopes are and , respectively. If these isotopes were equally abundant when the earth was formed, estimate the age of the earth.
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Text solutionVerified
Let be number of atoms of each isotope at the time of formation of the earth and and the number of atoms at present . Then,
Further it is given that
Equating Eqs. (iii) and (iv) and taking log on both sides, we have
Substituting the values, we have
or
Further it is given that
Equating Eqs. (iii) and (iv) and taking log on both sides, we have
Substituting the values, we have
or
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Question Text | Uranium ores on the earth at the present time typically have a composition consisting of of the isotope and of the isotope . The half-lives of these isotopes are and , respectively. If these isotopes were equally abundant when the earth was formed, estimate the age of the earth. |
Topic | Nuclei |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 |
Upvotes | 82 |