Which expression correctly gives the number of undecayed nuclei left after half-lives…

CHEMISTRY · Single correct · US High School · Chemistry · Atomic Structure & Nuclear · Atomic Structure & Nuclear

Problem

Which expression correctly gives the number of undecayed nuclei

N

left after

n

half-lives when the initial number is

N_0

? (a)

N = N_0\,2^{n}

(b)

N = \dfrac{N_0}{2^{n}}

(c)

N = N_0\,e^{-n}

(d)

N = N_0\,2^{-\tfrac{n}{2}}