Atoms And Nuclei Question 404

Question: The disintegration rate of a certain radioactive sample at any instant is 4750 disintegrations per minute. Five minutes later the rate becomes 2700 disintegrations per minute. Calculate half-life of the sample.

Options:

A) 9.1,min

B) 6.1,min

C) 2.3,min

D) 1.1,min

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Answer:

Correct Answer: B

Solution:

  • We know that the rate of integration |dNdt|=A
    ,A=A0eλt or 2700=4750,eλ×5 or λ=0.1131 per minute Half-life minute


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