A radionuclide has undecayed nuclei and a decay constant

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

Problem

A radionuclide has

N_0 = 5.0\times10^{17}

undecayed nuclei and a decay constant

\lambda = 0.002\,\text{s}^{-1}

. How many nuclei will disintegrate in the first

200\,\text{s}

? (a)

1.6\times10^{17}

(b)

3.3\times10^{17}

(c)

2.0\times10^{17}

(d)

2.5\times10^{17}