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Standard XII
Physics
First Order Radioactive Decay
Question

radioactive isotopes are produced in a nuclear physics experiments at constant rate dN/dt = R. An inductor of inductance mH a resistor of resistance $$ \Omega $$ and a battery are connected to form a series circuit . the circuit is switched on at the instant the production of radioactive isotope starts it is found that i?N remains constant in time where i us the current in the circuit at time t and N is the number of active nuclei at time t. find the half-life the isotope

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