A `.^7Li` target is bombarded with a proton beam current of `10^-4` A for `1` hour to produce `.^7 Be` of activity `1.8xx10^8` disintegrations per second. Assuming that `.^7Be` radioactive nucleus is produced by bombarding `1000` protons, determine its half-life.

A `.^7Li` target is bombarded with a proton beam current of `10^-4` A

1.	A `.^7Li` target is bombarded with a proton beam current of `10^-4` A for `1` hour to produce `.^7 Be` of activity `1.8xx10^8` disintegrations per second. Assuming that `.^7Be` radioactive nucleus is produced by bombarding `1000` protons, determine its half-life.
Answer» charge , q=It = `10^(-4)xx1xx3600 = 0.36C` number of protons ` =(q)/( E) =(0.36)/(1.6xx10^(-19))=2.25xx10^(18)` number of `""^(7)Be` nuclei `=(2.25x10^(18))/(1000)=2.25xx10^(15)` Activity ,R `=("in 2)/(T_(1//2))N,` where ` R= 2.8xx10^(8)` dps (given ) half - life of substance , `T_(1//2)=("N in"2)/(R) =(2.25xx10^(15)xx0.693)/(2.8xx10^(8))` `=0.556xx10^(7)s`

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