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WBJEE · Physics · Nuclear Physics

Radon- 222 has a half-life of 3.8 days. If one starts with \(0.064 \mathrm{kg}\) of radon-222, the quantity of radon- 222 left after 19 days will be

  1. A \(0.002 \mathrm{kg}\)
  2. B \(0.062 \mathrm{kg}\)
  3. C \(0.032 \mathrm{kg}\)
  4. D \(0.024 \mathrm{kg}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(0.002 \mathrm{kg}\)

Step-by-step Solution

Detailed explanation

Half life of radon \(=3 \cdot 8\) days Total half-lives in 19 days \(\begin{array}{l} =\frac{19}{3 \cdot 8} \\ =\frac{190}{38} \end{array}\) \(=5\) half-lives Initially mass of radon \(=0.064 \mathrm{kg}\)…