Which one of the following correctly relates the half-life of a radioactive isotope…

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

Problem

Which one of the following correctly relates the half-life

T_{1/2}

of a radioactive isotope to its decay constant

\lambda

? (a)

T_{1/2}=\dfrac{1}{\lambda\ln 2}

(b)

T_{1/2}=\dfrac{\ln 2}{2\lambda}

(c)

T_{1/2}=\dfrac{\log_{10} 2}{\lambda}

(d)

T_{1/2}=\dfrac{\ln 2}{\lambda}