Nuclei of a radioactive element X are being produ

Question

Nuclei of a radioactive element X are being produced at a constant rate k and this element decays to a stable nucleus by with a decay constant h and half life T1/2. At time t = 0 there N nuclei of the element x. The number of nuclei of y at t=T1/2 is?

Arun · Accepted Answer

(a) Let at time ‘t’ number of radioactive are N.Net rate of formation of nuclei of A.dN /dt = α – λ N or dN / α – λN = dtor Solving this equation, we getN = 1 / λ [α – (α – λN0)e-λt] …..(1)(b) Substituting α = 2λN0 andt = t1/2 = 1n(2) / λ in equation (1),we get, N = 3/2 N0­(ii) Substituting α = 2λ N0 and t ⟶ ∞ in equation (1), we getN = α / λ = 2 N0

Modern Physics> Nuclei of a radioactive element X are bei...

Nuclei of a radioactive element X are being produced at a constant rate k and this element decays to a stable nucleus by with a decay constant h and half life T1/2. At time t = 0 there N nuclei of the element x. The number of nuclei of y at t=T1/2 is?

Vidhi dixit , 6 Years ago

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Modern Physics> Nuclei of a radioactive element X are bei...

Nuclei of a radioactive element X are being produced at a constant rate k and this element decays to a stable nucleus by with a decay constant h and half life T1/2. At time t = 0 there N nuclei of the element x. The number of nuclei of y at t=T1/2 is?

Vidhi dixit , 6 Years ago

Arun

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