1.

(a) Explain the processes of nuclear fission and nuclear fusion by using the plot of binding energy per nucleon (BE/A) versus the mass number A. (b) A radioactive isotope has a half-life of 10 years. How long will it take for the activity to reduce to 3.125%?

Answer»

Solution : (b) Here `T_(1/2) = 10 `years. Let after n half LIVES the activity of radioactive isotope is reduced to 3.125%. Then as per RELATION `R_(n) = R_(0)(1/2)^(n)`, we have
`R_(n)/(0)=3.125/100=(1/2)^(n) implies n=5`
`therefore` Time `t =nT_(1/2) =5 xx 10 years = 50 `years


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