MHT CET 2022 Physics question

Activity of a radioactive sample decrease to (1/3)rd of its original value in 3 days. Then in 9 days its activity reduce to

(A)of the original value.
(B) of the original value.
(C) of the original value.Correct
(D) of the original value.

Answer: (C)

Solution

Activity decays exponentially, , so in equal time intervals it falls by the same factor. In every 3 days the activity becomes of its value at the start of that interval. 9 days contain three such intervals, so

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Question ID VK-093466