The count rate from a radioactive source is at and at

PHYSICS · Multi-part · A Level · Physics · Nuclear physics · Nuclear physics

Problem

The count rate from a radioactive source is

4000\,\text{s}^{-1}

t = 10\,\text{min}

and

250\,\text{s}^{-1}

t = 50\,\text{min}

. Assuming exponential decay, calculate the numerical value of: (i) the decay constant

\lambda

(

\text{min}^{-1}

) (ii) the half-life of the nuclide (in minutes)