Question
A radionuclide sample has No nuclei at t = 0. Its number of undecayed nuclei get reduced to No/e at t = τ. What does the term 'τ' stand for? Write, in terms of 'τ', the time interval 'T', in which half of the original number of nuclei of this radionuclide would have got decayed.
Solution
Here,
Nucleii at time t = 0 is No
Nucleii at time t = is
τ here is the average life time of the radioactive element and is given by,
where, T is the half life of the element.
i.e., the average life time of a radioactive element is 1.44 times the half-life of the element.
Nucleii at time t = 0 is No
Nucleii at time t = is
τ here is the average life time of the radioactive element and is given by,
where, T is the half life of the element.
i.e., the average life time of a radioactive element is 1.44 times the half-life of the element.