AP EAMCET · PHYSICS · Nuclear Physics
A radioactive material whose half life period is 2 years weighs \(1 \mathrm{~g}\) and is stored in the laboratory for 4 years. Then the amount of remaining radioactive material is
- A \(0.5 \mathrm{~g}\)
- B \(0.125 \mathrm{~g}\)
- C \(0.25 \mathrm{~g}\)
- D \(0.0625 \mathrm{~g}\)
Answer & Solution
Correct Answer
(C) \(0.25 \mathrm{~g}\)
Step-by-step Solution
Detailed explanation
Half life, \(\mathrm{T}_{1 / 2}=2\) year Quantity of substance, \(\mathrm{N}_0=1 \mathrm{~g}\) Using law of radio activity, \(\mathrm{N}=\mathrm{N}_0 \mathrm{e}^{-\lambda \mathrm{t}}\) Decay constant, \(\lambda=\frac{0.693}{\mathrm{~T}_{1 / 2}}\)…
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