First slide

Radio activity

Question

The half life period of radium is 1600 years. The fraction of a sample of radium that would remain after 6400 years is

Moderate

A

$\frac{1}{4}$
B

$\frac{1}{2}$
C

$\frac{1}{8}$
D

$\frac{1}{16}$

Solution

Fraction $= \frac{N}{N_{0}} = {(\frac{1}{2})}^{\frac{6400}{1600}} = {(\frac{1}{2})}^{4} = \frac{1}{16}$

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