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A radioactive isotope having t(1//2) =3 ...

A radioactive isotope having `t_(1//2)` =3 days was read after 12 days . If 3 g of the isotope is now left in the container, the initial weight of isotope was

A

12 g

B

24 g

C

36 g

D

48 g

Text Solution

Verified by Experts

The correct Answer is:
D

`T=nxxt_(1//2)`
`12=nxx3`
`n=4`
`N=N_(0)xx((1)/(2))^(n)`
`3=N_(0)xx((1)/(2))^(4)`
`N_(0)=16xx3=48g`
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