A radioactive nuclei with decay constant is being produced at a constant rate of 100…

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

Problem

A radioactive nuclei with decay constant

0.5/\text{s}

is being produced at a constant rate of 100 nuclei/s. If at

t = 0

there were no nuclei, the time when there are 50 nuclei is: (1) 1 s (2)

2\ln\left(\frac{4}{3}\right)

s (3)

\ln 2

s (4)

\ln\left(\frac{4}{3}\right)