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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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