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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

The half-life of this nuclide is `4.5xx10^(9)` Years

B

The half life of this nuclide is `9xx10^(9)` years

C

The activity of the prepared sample is `1.24xx10^(4)` particles/sec

D

The activity of the prepared sample is `1.24xx10^(4)` particles/sec

Text Solution

Verified by Experts

The correct Answer is:
A, D
`|(dN)/(dt)|=lambdaN=(ln2)/(T_(1//2))xx(1xx6.02xx10^(23))/(238)`
`rArrT_((1)/(2))=(ln2xx6.023xx10^(23))/(238xx1.24xx10^(4))=4.5xx10^(9)Yrs`.
The activity `=` number of disintergration per second `=1.24xx10^(4)dps`
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