What is the correct expression for the decay constant in terms of the half-life of a…

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

Problem

What is the correct expression for the decay constant

\lambda

in terms of the half-life

t_{1/2}

of a radioactive isotope? (a)

\displaystyle \lambda = \frac{1}{t_{1/2}}

(b)

\displaystyle \lambda = \frac{2}{t_{1/2}}

(c)

\displaystyle \lambda = \frac{\ln 2}{t_{1/2}}

(d)

\displaystyle \lambda = \frac{1}{t_{1/2}\,\ln 2}