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How many disintegrations per second will...

How many disintegrations per second will occur in one gram of `._92U^(238)`, if its half life against alpha decay is `1.42xx10^(17)s` ?

Text Solution

Verified by Experts

Here, `(dN)/(dt)=?`
N=numbers of atoms in one gram
`=(6.023xx10^(23))/238`
`T=1.42xx10^(17)s`
`(dN)/(dt)=lambdaN=0.693/TxxN`
`=(0.693xx6.023xx10^(23))/(1.42xx10^(17)xx238)`
`=1.23xx10^4s^-1`
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