1.

The count rate from 100 "cm"^2 of a radioactive liquid is c. Some of this liquid is now discarded. The count rate of the remaining liquid is found to be c/10 after three half-lives. Find the volume of the remaining liquid, in "cm"^3 ?

Answer»

Solution :Initial count rate (CR) for `1 CM^2` of liquid = `c/100`
After 3 half-lives , CR for `1 cm^3` of liquid =`1/8xxc/100`
Let the VOLUME of the remaining liquid = `V "cm"^3`
CR of this liquid = `V xx c/800 = c/10` or V=80.


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