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The half-life of ¹³¹I is 8 days. Given a sample of ¹³¹I at time t=0, we can assert that

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no nucleus will decay before t=4 days

no nucleus will decay before t=8 days

all nuclei will decay before t=16 days

a given nucleus may decay at any time after t=0

answer is D.

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Detailed Solution

A radioactive nucleus may decay any time after t = 0, The number of nuclei at any time t is given by:
$N = N_{0} e^{- λ t}$ where $λ = \frac{0.693}{T}$ where T is the half-life.

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