First slide

Radio activity

Question

In a mean life of a radioactive sample

Moderate

A

About 1/3 of substance disintegrates
B

About 2/3 of the substance disintegrates
C

About 90% of the substance disintegrates
D

Almost all the substance disintegrates

Solution

By using $N = N_{0} e^{- λt} and t = τ = \frac{1}{λ}$
Substance remains $N = \frac{N_{0}}{e} = 0.37 N_{0} ≃ \frac{N_{0}}{3}$
$∴$ Substance disintegrated $= N_{0} - \frac{N_{0}}{3} = \frac{2 N_{0}}{3}$

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