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The half-life period of radioactive elem...

The half-life period of radioactive element is 140 days. After 560 days, 1 g of element will reduce to

A

`1/2`g

B

`1/4`g

C

`1/8`g

D

`1/16`g

Text Solution

Verified by Experts

The correct Answer is:
d
As we know, `T= nxxt_(1//2)`
where, `t_(1//2)` = half-life period
`n=(T)/(t_(1//2))=(560)/(140)=4`
Now, `N_1=N_0(1/2)^n=1xx(1/2)^4=1/16g`
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