Moderate

The half life of a radioactive element is?

Correct answer: B. 0.693/λ

  • A. 0.693λ
  • B. 0.693/λ
  • C. λ/0.693
  • D. 1/λ

Explanation

Nt = N0e-λt. N0 = initial quantity. Nt = quantity after time t . t = time period. λ = decay constant Nt = N0/2. t = t1/2. N0/2 = N0e-λt1/2. ½ = e-λt1/2. ln0.5 = -λt1/2. -0.693 = -λt1/2. t1/2 ="0.693/π".

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Atomic nuclei contain protons and neutrons, with nuclear size, mass defect and binding energy describing their stability. The work covers alpha, beta and gamma decay, decay equations, half-life and decay rate, along with radiation safety and medical applications such as imaging, radiotherapy and tracers.

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