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A radioactive nuclei with decay constant $0.5 / s$ 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
$ln 4 s$
$ln (\frac{4}{3}) s$
$1 s$
$2 ln (\frac{4}{3}) s$

A

ln (\frac{4}{3}) s

B

1 s

C

ln 4 s

D

2 ln (\frac{4}{3}) s

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