At time $t = 0, N_1$ nuclei of decay constant $\lambda _1 \,\& \,N_2$ nuclei of decay constant $\lambda _2$ are mixed . The decay rate of the mixture is :
At time $t = 0, N_1$ nuclei of decay constant $\lambda _1 \,\& \,N_2$ nuclei of decay constant $\lambda _2$ are mixed . The decay rate of the mixture is :
- A
${N_1}{N_2}{e^{ - \left( {{\lambda _1} + {\lambda _2}} \right)t}}$
- B
$ + \left( {\frac{{{N_1}}}{{{N_2}}}} \right){e^{ - \left( {{\lambda _1} - {\lambda _2}} \right)t}}$
- C
$ + ({N_1}{\lambda _1}{e^{ - {\lambda _1}t}} + {N_2}{\lambda _2}{e^{ - {\lambda _2}t}})$
- D
$ + {N_1}{\lambda _1}{N_2}{\lambda _2}{e^{ - \left( {{\lambda _1} + {\lambda _2}} \right)t}}$
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- [AIPMT 2011]
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