1.

The count rate from 100 cm3 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. The volume of the remaining liquid, in cm3, is (a) 20 (b) 40 (c) 60 (d) 80

Answer»

Correct Answer is: (d) 80

Initial count rate (CR) for 1 cm3 of liquid = c/100.

After 3 half-lives, CR for 1 cm3 of liquid = 1/8 x c/100 .

Let the volume of the remaining liquid = V cm3.

∴ CR of this liquid = V x c/800 = c/10

or V = 80.



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