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

PHYSICS · Single correct · A Level · Physics · Nuclear physics · Nuclear physics

Problem

Which of the following gives the correct relation between the half-life T1/2T_{1/2} of a radioactive nuclide and its decay constant λ\lambda? (a) T1/2=1λT_{1/2}=\dfrac{1}{\lambda} (b) T1/2=log⁡102λT_{1/2}=\dfrac{\log_{10} 2}{\lambda} (c) T1/2=ln⁡2λT_{1/2}=\dfrac{\ln 2}{\lambda} (d) T1/2=12λT_{1/2}=\dfrac{1}{2\lambda}

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