Which one of the following expresses the correct relation between the decay constant…

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

Problem

Which one of the following expresses the correct relation between the decay constant

\lambda

and the half-life

t_{1/2}

of a radionuclide? (a)

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

(b)

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

(c)

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

(d)

\lambda = \dfrac{\ln(1/2)}{t_{1/2}}