Physics - Modern Physics Question with Solution | TestHub

A radio-active element is produced at a rate proportional to '${\mathrm{t}}^3$' and decays with decay constant of $\lambda =3{\mathrm{S}}^{-1}$. At $\mathrm{t}={\mathrm{t}}_1$, no. of atoms of given element is minimum and $\mathrm{t}={\mathrm{t}}_2$, activity of sample is minimum. If $\mathrm{N}(\mathrm{t})$ represents no. of atoms of element at any time '$\mathrm{t}$', then $\frac{\mathrm{N}\left({\mathrm{t}}_1\right)}{\mathrm{N}\left({\mathrm{t}}_2\right)}=$