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Sticky Note
If 𝜆 (decay constant) corresponds to 𝑡 1 / 2 ​ (half-life), then λ=?
  1. t1/2​×log2
  2. log2​ x t1/2
  3. 2 x t 1/2
  4. 1 / t 1/2
Explanation
  • The half-life is the time for a substance to decay to half its initial amount.

  • The decay constant λlambda is related to half-life by: λ=ln⁡2t1/2

  • Using log base 10: λ=log⁡2t1/2lambda = frac{log 2}{t_{1/2}}

  • This formula is used in radioactive decay and exponential processes.

  • Therefore, λ= log 2 / t1/2

    1/2

    ​


    log2

    ​


    λ=log⁡2t1/2lambda = frac{log 2}{t_{1/2}}


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