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A certain radioactive element has half-l...

A certain radioactive element has half-life of `4` days. The fraction of material that decays in `2 `days is

A

`1//2`

B

`1//(sqrt2)`

C

`(sqrt2)`

D

`(sqrt2)-1//(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
d
After n half-lives, the radioactive nuclei ramaining is `(N_(0))/(2^(n))`
So, number of nuceli disintegrtaed in n half-lives is `(N_(0) -(N_(0))/(2^(n)))`
For `n=(1)/(2)`, the fraction distintegrated is `((1-(1))/(sqrt2))`.
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