Which of the following gives the correct mathematical relationship between the half-life,

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

Problem

Which of the following gives the correct mathematical relationship between the half-life, t12t_{\frac{1}{2}} , and the decay constant, λ\lambda ? (1) t12=1λt_{\frac{1}{2}} = \frac{1}{\lambda} (2) t12=λln⁡2t_{\frac{1}{2}} = \frac{\lambda}{\ln 2} (3) t12=ln⁡2λt_{\frac{1}{2}} = \frac{\ln 2}{\lambda} (4) t12=ln⁡2×λt_{\frac{1}{2}} = \ln 2 \times \lambda

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