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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//2`

C

`1//8`

D

`1//16`

Text Solution

Verified by Experts

The correct Answer is:
D
`T_(1//2)= 1600 yr, t= 4T_(1//2)= 6400 yr`
Number of nuclei remaining
`N= (N_(0))/((2)^(n)) = (N_(0))/((2)^(4)) = (N_(0))/(16)`
Fraction `= (N)/(N_(0))= (1)/(16)`
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