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A sample contains 16 gm of radioactive m...

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

A

Less than 1 mg

B

`(1)/(4)g`

C

`(1)/(2)g`

D

1g

Text Solution

Verified by Experts

The correct Answer is:
A
Number of nuclei remaining
`= (N_(0))/(2^(n)) [n= (32)/(2)= 16]`
`= (16)/(2^(16))= (2^(4))/(2^(16)) = (1)/(2^(12))`
Hence, `(1)/(2^(12)) lt 1mg`
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