1.

The limit of a particular detection system is 0.002 dps for 1g sample. Find the maximum t_((1)/(2)) that this system could detect in a 1-g sample of a nuclide of mass number 200.

Answer»

SOLUTION :We know, N= no. of ATOMS= moles `xx` Av. Const.`=(1)/(200) xx 6.022 xx 10^(23)`
`-(d(N))/(dt)= lamda (N)`
`0.002 = (0.6932)/(t_((1)/(2)))xx (1)/(200) xx 6.022 xx 10^(23)`
`therefore t_((1)/(2))=1.0436 xx 10^(24)` SECONDS
`=3.334 xx 10^(16)` years.


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