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At timet \( =0, N_{1} \) nuclei of decay constant \( \lambda_{1} \& N_{2} \) nuclei of decay constant \( \lambda_{2} \) are mixed. The decay rate of the mixture is :
\( P \)
(A) \( \mathrm{N}_{1} \mathrm{~N}_{2} \mathrm{e}^{-\left(\lambda_{1}+\lambda_{2}\right) \mathrm{t}} \)
(B) \( +\left(\frac{N_{1}}{N_{2}}\right) e^{-\left(\lambda_{1}-\lambda_{2}\right) t} \)
W.
\( -(\mathrm{C})+\left(\mathrm{N}_{1} \lambda_{1} \mathrm{e}^{-\lambda_{1} \mathrm{t}}+\mathrm{N}_{2} \lambda_{2} \mathrm{e}^{-\lambda_{2} \mathrm{t}}\right) \)
(D) \( +\mathrm{N}_{1} \lambda_{1} \mathrm{~N}_{2} \lambda_{2} \mathrm{e}^{-\left(\lambda_{1}+\lambda_{2}\right) t} \)
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