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  4. The half-life of random is 3.8 days. Three fourth of a radon sample decay in:

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Q. The half-life of random is 3.8 days. Three fourth of a radon sample decay in:

JIPMERJIPMER 1999

Solution:

Given: half-life of radon is 3.8 days remained radon is $ 1-\frac{3}{4}=\frac{1}{4} $ $ \frac{1}{4}={{\left( \frac{1}{2} \right)}^{2}}={{\left( \frac{1}{2} \right)}^{n}}, $ so, $ n=2 $ = half life $ \times $ days = 2 $ \times $ 3.8 = 7.6 days