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State the law of radioactive decay....

State the law of radioactive decay.

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It states that the rate of disintegration is directly proportional to the number of radioactive nuclei present at that instant
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To determine the half life of radioactive elements, a student plots a graph of In |(dN(t))/(dt)| versus t. Here (dN(t))/(dt) the rate of radioactive decay at time t. If the number of radioactive nuclei of this element decreases dt by a factor of p after 4.16 years, find the value of p.

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Knowledge Check

  • The half life of a radioactive decay is 'n' times its mean life, n is equal to

    A
    0.0693
    B
    0.693
    C
    1/0.693
    D
    0.307

  • ""^(227) Ac has a half-life of 22.0 years with respect to radioactive decay. The decay follows two parallel paths, one leading to ""^(222)Th and the other to ""^(223)Fr . The percentage yields to these two daughter nuclides are 2.0 and 98.0 respectively. What are the decay constants (lambda) for each of the separate paths ?

    A
    `k_(1) = 0.00063 y^(-1), k_(2) = 0.03087 y^(-1)`
    B
    `k_(1) = 0.0063 y^(-1), k_(2) = 0.003087 y^(-1)`
    C
    `k_(1) = 0.063 y^(-1), k_(2) = 0.04087 y^(-1)`
    D
    `k_(1) =0.00063 y^(-1) , k_(2) = 0.003087 y^(-1)`

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