Questions
A radioactive nucleus A with a half life T decays into a nucleus B. At t=0 , there is no nucleus of B. At some time t , the ratio of the number of nuclei of B to that of A is 0.3 then, t is given by
detailed solution
Correct option is C
Number of Nuclei of B = Number of decayed nuclei of ANB=No−Noe−λt Number of nuclei of A is NA=Noe−λt⇒NBNA=N0−N0e−λtN0⋅e−λt⇒0.3=eλt−1⇒eλt=1.3⇒λt=ln1.3⇒t=1λln1.3⇒t=Tln2ln1.3Talk to our academic expert!
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