Nuclear Physics And Radioactivity Question 377

Question: A radioactive sample at any instant has its disintegration rate 5000 disintegration per minute. After 5 minutes, the rate is 1250 disintegrations per minute. Then, the decay constant (per minute) is [AIEEE 2003]

Options:

A) 0.8 In 2

B) 0.4 In 2

C) 0.2 In 2

D) 0.1 In 2

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Answer:

Correct Answer: B

Solution:

$ \lambda =\frac{{\log_{e}}\frac{A_{1}}{A_{2}}}{t}=\frac{{\log_{e}}\frac{5000}{1250}}{5} $ = 0.4 In 2