First slide

Radio activity

Question

A Sample contains 16 gm of a radioactive material, the half-life of which is two days. After 32 days, the amount of radioactive material left in the sample is

Moderate

A

Less than 1 mg
B

$\frac{1}{4} gm$
C

$\frac{1}{2} gm$
D

1 gm

Solution

Remaining amount
$= 16 x {(\frac{1}{2})}^{32 / 2} = 16 x {(\frac{1}{2})}^{16} = {(\frac{1}{2})}^{12} < 1 mg$

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