Nuclear Physics And Radioactivity Question 119

Question: A sample contains 16g of a radioactive material, the half-life of which is two days. After 32 days, the amount of radioactive material left in the sample is Less than 1 mg

Options:

A) Less than 1 mg

B) $ \frac{1}{4}g $

C) $ \frac{1}{2}g $

D) $ 1g $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Remaining amount $ =16\times {{( \frac{1}{2} )}^{32/2}}=16\times {{( \frac{1}{2} )}^{16}}={{( \frac{1}{2} )}^{12}}<1mg $



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