State the correct mathematical relation between the half-life of a radioactive…

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

Problem

State the correct mathematical relation between the half-life

T_{1/2}

of a radioactive isotope and its decay constant

\lambda

. (a)

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

(b)

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

(c)

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

(d)

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