Nuclear Physics And Radioactivity Question 86

Question: If one starts with one curie of radioactive substance (T1/2 = 12 hrs) the activity left after a period of 1 week will be about

Options:

A) 1 curie

B) 120 micro curie

C) 60 micro curie

D) 8 mili curie

Show Answer

Answer:

Correct Answer: C

Solution:

1 week » 7 days $ \underline{\tilde{\ }} $ $ 7\times 24hrs\underline{\tilde{\ }},\ 14 $ half lives Number of atoms left $ =\frac{No}{{{(2)}^{14}}} $ , Activity = $ N\lambda $ \ Activity left is $ \frac{1}{{{(2)}^{14}}} $ times the initial

Þ $ \frac{1}{{{(2)}^{14}}}\times 1 $ curie $ =\frac{1}{16384}\times 1 $ curie $ \cong $ $ 61\times {{10}^{-6}} $ curie $ \approx 60\mu , $ curie.



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