Question
Hard
Solving time: 4 mins
Radioactive isotopes are produced in a nuclear physics experiment at a constant rate . An inductor of inductance , a resistor of resistance and a battery are connected to form a series circuit. The circuit is switched on at the instant the production of radioactive isotope. It is found that remains constant in time where is the current in the circuit at time and is the number of active nuclei at time . Find the half-life of the isotope.
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Text solutionVerified
After time is constant i.e. independent of time. Coefficients of are equal
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Question Text | Radioactive isotopes are produced in a nuclear physics experiment at a constant rate . An inductor of inductance , a resistor of resistance and a battery are connected to form a series circuit. The circuit is switched on at the instant the production of radioactive isotope. It is found that remains constant in time where is the current in the circuit at time and is the number of active nuclei at time . Find the half-life of the isotope. |
Topic | Nuclei |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 |
Upvotes | 128 |