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The half-life period of radium is 1600 y...

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

A

`1/4`

B

`1/16`

C

`1/32`

D

`1/64`

Text Solution

Verified by Experts

The correct Answer is:
B
`n=t/T=6400/1600=4`
The fraction of radioactive atom left behind after time t is given by,
`N/N_(0)=(1/2)^(n)=(1/2)^(4)=1/16`
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