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CUET · PHYSICS · PYQ PAPER 2025

A radioactive material with half life of 6.25 years undergoes beta decay. How much fraction of material is decayed after 25 years:

  1. A \(1/16\)
  2. B \(15/16\)
  3. C \(1/8\)
  4. D \(7/8\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(15/16\)

Step-by-step Solution

Detailed explanation

\(n = t / T_{1/2} = 25 \text{ years} / 6.25 \text{ years} = 4\) \(N/N_0 = (1/2)^n = (1/2)^4 = 1/16\) Fraction decayed = \(1 - N/N_0 = 1 - 1/16 = 15/16\)
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