1.

A small quantity of a solution containing `N^(24)` radio-nuclide of half-life `T` and activity `R_(0)` is injected into blood of a person. `1 cm^(3)` of sample of blood taken from the blood of the person shows activity `R_(1)`. If the total volume of the blood in the body of the person is `V`, find the timer after which sample is taken.A. `(T)/(1n(2))[1 n(R_(0))/(VR_(1))]`B. `(T)/(ln(2))[1n(VR_(0))/(R_(1))]`C. `(T)/(ln(2))[1n(VR_(1))/(R_(0))]`D. `(T)/(ln(2))[1n(VR_(1))/(VR_(0))]`

Answer» Correct Answer - A
Total volume of blood,
`(R_(0)e^(-lambdat))/(R_(1))`, (or) `(VR_(1))/(R_(0))=e^(lambdat)`
`-ln((VR_(1))/(R_(0)))=lambda t=(ln(2)t)/(T), t=(T)/(ln(2))ln((R_(0))/(VR_(1)))`


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