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CUET · CHEMISTRY · PYQ PAPER 2025

The half life of a radioactive element is \(1 4 0\) days. After \(5 6 0\) days, one gram of the element will be reduced to:

  1. A \(0.5 g\)
  2. B \(0.0625 g\)
  3. C \(0.125 g\)
  4. D \(0.25 g\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(0.0625 g\)

Step-by-step Solution

Detailed explanation

\(n = \frac{t}{T_{1/2}}\) \(n = \frac{560}{140} = 4\) \(N = N_0 \left( \frac{1}{2} \right)^n\) \(N = 1 \times \left( \frac{1}{2} \right)^4 = 0.0625 \text{ g}\)
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