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In a sample of radioactive material, wha...

In a sample of radioactive material, what percentage of the initial number of active nuclei will decay during one mean life ?

A

0.693

B

0.63

C

0.5

D

37%.

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What is mean life of a radioactive element?

Consider a radioactive material of half life 1.0 minute. If one of the nuclei decays now, the next one will decay after (where N is the number of nuclei present at that moment).

Knowledge Check

  • 90% of a radioactive sample is left undisintegrated after time I has elapsed, what percentage of initial sample will decay in a total time 2t:

    A
    0.38
    B
    0.19
    C
    0.09
    D
    0.62

  • Fraction of the element decayed during its mean life will be:

    A
    e
    B
    `N_(0) log e`
    C
    `(log e)/(N)`
    D
    `1-1/e`

  • To determine the half life of a radioactive element, a student plots a graph of In |(dN(t))/(dt)| versus t. Here (dN(t))/(dt) is the rate of radioactive decay at time t. If the number of radioactive nuclei of this element decreases by a factor of p after 4.16 years. the value of p is...........

    A
    3
    B
    5
    C
    7
    D
    8

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    What determines the half life of a radioactive sample ?

    The fraction of the initial number of radioactive nuclei which remain undecayed after half of a half-life of the radioactive sample is

    State the law of radioactive decay. Plot a graph showing the number (N) of undecayed nuclei as a function of time (t) for a given radioactive sample having half life T_(1//2) . Depict in the plot, the number of undecayed nuclei at (i) t=3T_(1//2) and (ii) t=5T_(1//2) .

    In a radioactive disintegration, the ratio of initial number oif atoms to the number of atoms present at an instant of tme equal to its mean life is

    A radioactive sample consists of two distinct species having equal number of atoms initially. The mean life time of one species is tau and that of the other is 5 tau . The decay products in both cases are stable. A plot is made of the total number of radioactive nuclei as a function of time. Which of the following figures best represents the form of this plot.

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