AP EAMCET · PHYSICS · Nuclear Physics
A radioactive element of mass \(1 \mathrm{~kg}\) after \(N\) years is left with only. \(125 \mathrm{~g}\). If the half life of the element is \(12.5 \mathrm{y}\), then the value of \(N\) is
- A 37.5 years
- B 25.0 years
- C 50.0 years
- D 75.0 years
Answer & Solution
Correct Answer
(A) 37.5 years
Step-by-step Solution
Detailed explanation
( ) Given: Initial amount of radioactive substance is \(1 \mathrm{~kg}\) and half-life is \(12.5 \mathrm{y}\). Decay scheme will be \(1 \mathrm{~kg} \xrightarrow{125 y} 500 \mathrm{~g} \xrightarrow{125 y} 250 \mathrm{~g} \xrightarrow{125 y} 125 \mathrm{~g}\) So time required is…
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