Question

5. Two radioactive sample have decay constant 12k
and 4k. If they have the same number of nuclei
initially, the ratio of respective number of nuclei
after a time
is
​

Answer 1

Given

Decay constant 'a' (say) for sample 1 is 12000

Decay constant 'b' (say) for sample 2 is 4000

To Find

Ratio of Nuclei after time t

Solution

As we know, Radioactive reactions are first order reactions

Therefore, N₁ = N₀ $e^-(at)$   and   N₂ = N₀$e^-(bt)$

         , where N₁ and N₂ are no. of nuclei of sample 1 and sample 2 at time t                            respectively

            N₀ are initial nuclei

Therefore, Required Ratio is

N₁/N₂ = $e^(bt-at)$ =$e^(-8000)t$     [Answer]

Answer 2

Answer:

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