Which one of the following correctly gives the relation between the half-life of a…

CHEMISTRY · Single correct · US High School · Chemistry · Atomic Structure & Nuclear · Atomic Structure & Nuclear

Problem

Which one of the following correctly gives the relation between the half-life T1/2T_{1/2} of a radioactive substance and its decay constant λ\lambda? (a) T1/2=λln⁡2T_{1/2}=\dfrac{\lambda}{\ln 2} (b) T1/2=1λ ln⁡2T_{1/2}=\dfrac{1}{\lambda\,\ln 2} (c) T1/2=ln⁡2λT_{1/2}=\dfrac{\ln 2}{\lambda} (d) T1/2=λ ln⁡2T_{1/2}=\lambda\,\ln 2

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