The half-life (T) and the disintegration constant ( λ) of a radioactive substance are related as
Correct answer: C. T/λ =0.693
- A. λT =1
- B. λT =0.693
- C. T/λ =0.693
- D. λ/T =0.693
Explanation
This relation is derived from the decay law for radioactive substances, which states that the rate of decay R is proportional to the amount of radioactive substance present N.R= - λNThe negative sign indicates the decrease in the number of radioactive particles over time.The solution to this differential equation is:N(t)= N0e- λtWhere:N(t) is the remaining quantity at time t.N0 is the initial quantity.λ is the disintegration constant
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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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