Nuclear Chemistry Question 5

Question: A radioactive sample has a half-life of 1500 years.A sealed tube containing $ 1gm $ of the sample will contain after 3000 years

[MNR 1994; UPSEAT 2001, 02]

Options:

A) $ 1gm $ of the sample

B) $ 0.5gm $ of the sample

C) $ 0.25gm $ of the sample

D) $ 0.00gm $ of the sample

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Answer:

Correct Answer: C

Solution:

$ T={t _{1/2}}\times n, $ \ $ 3000=1500\times n $ \n = 2 \ Amount left $ =\frac{1}{2^{2}}=\frac{1}{4}=0.25g $ .