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Find the half life of U^(238), if one gr...

Find the half life of `U^(238)`, if one gram of it emits `1.24xx10^4` `alpha`-particle per second. Avogadro's Number `=6.023xx10^(23)`.

A

`4.5xx10^(9)` years

B

`1.2xx10^(9)` years

C

`2.2xx10^(9)` years

D

`9.1xx10^(9)` years

Text Solution

Verified by Experts

The correct Answer is:
A
`A_(0)=N_(0)lambda=1.24xx10^(4)sec^(-1)`,
`N_(0)=(1)/(238)xx"Avogadronumber" lambda=?, T_(1//2)= (ln 2)/(lambda)=?`
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