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COMEDK2022ChemistryChemical Kinetics

A newly prepared radioactive nuclide has a decay constant of 6.93 ~s ⁻¹ . What is the half-life of the nuclide?

Options

  1. A0.1 ~s
  2. B0.2 ~s
  3. C0.3 ~s
  4. D0.4 ~s

Correct answer

A. 0.1 ~s

Step-by-step solution

The relationship between the half-life T_ 1/2 and the decay constant of a radioactive substance is given by the formula: T_ 1/2 = (2) Given the decay constant = 6.93 ~s ⁻¹ and using the approximation (2) 0.693 , we substitute these values into the formula: T_ 1/2 = 0.693 6.93 T_ 1/2 = 0.1 ~s Answer: 0.1 ~s

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