AP EAMCET · PHYSICS · Nuclear Physics
If the half-life of a radioactive material is 10 years, then the percentage of the material decayed in 30 years is
- A \(87.5\)
- B \(78.5\)
- C \(58.7\)
- D \(85.7\)
Answer & Solution
Correct Answer
(A) \(87.5\)
Step-by-step Solution
Detailed explanation
\(n = \frac{30 \text{ years}}{10 \text{ years}} = 3\) \(\text{Fraction remaining} = \left(\frac{1}{2}\right)^3 = \frac{1}{8}\) \(\text{Percentage decayed} = \left(1 - \frac{1}{8}\right) \times 100\% = \frac{7}{8} \times 100\% = 87.5\%\)
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