Radioactive elements A and B initially have the same number of atoms. The half-life of A equals the mean life of B. If $\lambda_{A}$ and $\lambda_{B}$ are their decay constants, the correct relation is:
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Question

Radioactive elements A and B initially have the same number of atoms. The half-life of A equals the mean life of B. If $\lambda_{A}$ and $\lambda_{B}$ are their decay constants, the correct relation is:

Options

G1 Physics · Accepted Answer

Half-life T₁/₂ = ln2/λ and mean life τ = 1/λ. Given T₁/₂(A) = τ(B): ln2/λ(A) = 1/λ(B) Therefore λ(A) = λ(B) ln2.

Radioactive elements A and B initially have the same number of atoms. The half-life of A equals the mean life of B. If λ A \lambda_{A} λ A ​ and λ B \lambda_{B} λ B ​ are their decay constants, the correct relation is:

Radioactive elements A and B initially have the same number of atoms. The half-life of A equals the mean life of B. If λ A \lambda_{A} λ A and λ B \lambda_{B} λ B are their decay constants, the correct relation is: