Radioactive isotopes are produced in a nuclear physics experiment at a constant rate \
Channel: Doubtnut
Date: 2020-07-05

Radioactive isotopes are produced in a nuclear physics experiment at a constant rate `dN//dt=R` .An inductor of inductance 100 mH, a resistor of resistance `100 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 is the current in the circuit at time t and N is the number of active nuclei at time t. Find the half-life of the isotope.