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State the law of redioactive decay. Plot...

State the law of redioactive decay. Plot a graph showing the number (N) of undecayed nuclei as a functin 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)`.

Answer

Step by step text solution for State the law of redioactive decay. Plot a graph showing the number (N) of undecayed nuclei as a functin 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). by PHYSICS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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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) .

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= T_(1/2) and (ii) t= 5T_(1/2) .

Knowledge Check

  • The decay constant of a radioactive sample is lamda. Its half -life is T_(1//2) and mean life is T.

    A
    `T_(1//2)=(1)/(lamda),T=(In2)/(lamda)`
    B
    `T_(1//2)=(In2)/(lamda),T=(1)/(lamda)`
    C
    `T_(1//2)=lamda"in" 2, T=(1)/(lamda)`
    D
    `T_(1//2)=(lamda)/(In2),T=(In2)/(lamda)`

  • The rate of decay of a radioactive sampel is given by R_(1) at time t_(1) and R_(2) at a later time. t_(2) . The mean life of this radioactive sample is:

    A
    `T = (R_(1))/(R_(2)) xx (t_(2))/(t_(1))`
    B
    `T = (t_(1) - t_(2))/(In (R_(2) // R_(1)))`
    C
    `T = (t_(2) - t_(1))/(In (R_(2)//R_(1)))`
    D
    `T = (In (R_(2)//R_(1)))/(t_(1) - t_(2))`

  • A radioactive sample remains undecayed 9/16 after time t.How much sample remains undecayed after time t/2

    A
    `3/4`
    B
    `9/16`
    C
    `4/3`
    D
    `16/9`

    • Similar Questions

    Explore conceptually related problems

    (a) 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 nucei at (i) t=3T_(1/2) and (ii) t=5T_(1/2) . (b) The half-life, of a given radioactive nuclide, is 138.6 days. What is the mean life of this nuclide? After how much time will a given sample of this radioactive nuclide get reduced to only 12.5% of its initial value?

    Plot a graph showing the variation of undecayed nuclei N versus time t. From the graph, find out how one can determine the half-life and average life of the radioactive nuclei.

    At time t=0 , number of nuclei of a radioactive substance are 100. At t=1 s these numbers become 90. Find the number of nuclei at t=2 s .

    The rate of decay of a radioactive sample is R_(1) at time t_(1) and R_(2) at time t_(2) . Calculate the mean liffe of sample.

    Half-life of a radioactive substance is T. At time t_1 activity of a radioactive substance is R_1 and at time t_2 it is R_2 . Find the number of nuclei decayed in this interval of time.

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