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If 'f' denotes the ratio of the number of nuclei decayed (Nd) to the number of nuclei at t = 0 (N?) then for a collection of radioactive nuclei, the rate of change of 'f' with respect to time is given as: [λ is the radioactive decay constant]

Option 1 -

λe⁻ˡᵗ

Option 2 -

λ(1 - e⁻ˡᵗ)

Option 3 -

-λ(1 - e⁻ˡᵗ)


Option 4 -

-λe⁻ˡᵗ

0 2 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    a month ago
    Correct Option - 3


    Detailed Solution:

    f = (N? - N? (e? )/N?
    f = 1 - e?
    df/dt = 0 - e? × -λ = λe?

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