MHT CET 2024 Physics question

If 'T' is the half life of a radioactive substance then its instantaneous rate of change of activity is proportional to

(A)T
(B)Correct
(C)
(D)

Answer: (B)

Solution

Activity is , where is the number of undecayed nuclei at that instant. Its rate of change is . The decay constant is related to the half-life by , so $ =

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Question ID VK-096793