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TS EAMCET · Physics · Nuclear Physics

The half-life period of element \(\mathrm{X}\) is same as the mean life time of element \(Y\). Assume initially \(\mathrm{X}\) and \(\mathrm{Y}\) have same number of atoms. Then

  1. A Initially \(\mathrm{X}\) and \(\mathrm{Y}\) have same decay rates
  2. B Always \(\mathrm{X}\) and \(\mathrm{Y}\) decay at same rate
  3. C \(\mathrm{Y}\) decays faster than \(\mathrm{X}\)
  4. D \(\mathrm{X}\) decays faster than \(\mathrm{Y}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\mathrm{Y}\) decays faster than \(\mathrm{X}\)

Step-by-step Solution

Detailed explanation

For element X, \(\left(\mathrm{t}_{1 / 2}\right)_{\mathrm{x}}=\frac{0.693}{\lambda_{\mathrm{x}}}\) For element \(Y\),…
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