Question bank/JEE Main/Physics

Nuclei of radioactive element A are produced at rate
at any time t. The element A has decay constant. Let N be the number of
nuclei of element A at any time t. At time [IMAGE] is
minimum. Then the number of nuclei of element A at time

ANone of these

Show answer and solution▾

$\frac{dN}{dt} = t^{2} - \lambda N$

Source: Grass-G / P-15 Physics paper 11 Nov.docx