First slide

Radio activity

Question

A sample contains 16 g of radioactive material, the half life of which is 2 days. After 32 days the amount of radioactive material left in the sample is

Moderate

A

less than 1 mg
B

1 / 4 g
C

1 /2 g
D

g

Solution

we know that $N = N_{0} (1 / 2)^{t / T}$
where $N_{0} = 16 g, t = 32 and T = 2$
$n = 16 {(\frac{1}{2})}^{32 / 2} = 16 {(\frac{1}{2})}^{16} g N < 1 mg$

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