The count rate from 100 cm 3 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 re

Question

The count rate from 100 cm 3 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 cm 3 , is

TestHub · Accepted Answer

Count rate per cm 3 initially = c /100 . After three half-lives the activity per cm 3 falls by 2 3 : 100 c ​ × 8 1 ​ = 800 c ​ per cm 3 A remaining count rate of c /10 needs volume V = c /800 c /10 ​ = 80 cm 3 Hence option (D).

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