In the chemical analysis of a rock the mass ratio of two radioactive isotopes is found to be 100:1. The mean lives of the two isotopes are 4109 yr and 2109 yr, respectively. If it is assumed that at the time of formation the atoms of both the isotopes were in equal proportion, the age of the rock p1010yr, where the value of p is ... Take, ratio of the atomic weights of the two isotopes is 1.02:1.)
At the time of observation (t = t),
(given)
Further, it is given that
Number of atoms
…….(i)
Let N0 be the number of atoms of both the isotopes at the time of formation, then
………(ii)
Equating Eqs. (i) and (i), we have
Substituting the values, we have
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A radioactive nucleus decays by two different processes. The half life for the first process is 10 s and that for the second is 100 s. The effective half life of the nucleus is close to :
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