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The selling rate of a radioactive isotope is decided by its activity. What will be the second-hand rate of a oe month old `P^32``(t_(1//2)=14.3` days) source if it was originally purchased for 800 rupees? |
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Answer» Correct Answer - `Rs.182.8` Here, `T=14.3days, t=30 days` `lambda=0.693/T=0.693/14.3day^(-1)` As `A=A_(0)e^(-lambdat)` `:. A/(A_(0))=e^((-30xx0.693)/14.3)=e^(-1.454)` `log_(e).(A)/(A_(0))=-1.454 log_(e) e=-1.454` `2.303 log_(10) .(A)/(A_(0))=-1.454` `log_(10). (A)/(A_(0))=-1.454/2.303=-0.631=bar(1).369` `A/(A_(0))=0.2285` `:.` Sal e price =`0.2285xx800` `=182.8 rupees` |
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