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The half-life period of a radioactive el...

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

A

`1//8 g`

B

`1//16 g`

C

`1//4 g`

D

`1//2 g`

Text Solution

Verified by Experts

The correct Answer is:
b
Number of half-lives(n) = `("Total time")/(t_(1//2)) =(560)/(14) =4`
Amount left `= ((1)/(2))^(n)xx"initial amount" = ((1)/(2))^(4)xx1g = (1)/(16) g`
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