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A saample of radioactive elements contai...

A saample of radioactive elements contains `4xx10^(10)` active nuclei. If half-life of element is `10` days, then the number of decayed nuclei after `30` days is

A

`0.5xx10^16`

B

`2xx10^16`

C

`3.5xx10^16`

D

`1xx10^16`

Text Solution

Verified by Experts

The correct Answer is:
C
`t=nT, X=X_0/2^n, n=t/T=30/10=3`
Active nuclei X =`(4xx10^16)/"(2)"^3` and decayed nuclie X =`(X_0-X)=3.5xx10^16`
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