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CBSE Class 12-science Answered

The following table shows some measurements of the decay rate of a radionuclide sample .Find the disintegration constant .
                       Time                                            lnR
                        36                                              5.08
                        100                                            3.29 
                        164                                            1.52                                                                             218                                            1.00
Asked by Rajeev | 16 Feb, 2016, 09:28: PM
answered-by-expert Expert Answer
lnR = lnR0 - λt
So graph of 'lnR' versus 't' is a straight line with slope '-λ'.
From the given table,
begin mathsize 14px style Slope equals fraction numerator 3.29 minus 5.08 over denominator 100 minus 36 end fraction minus straight lambda equals fraction numerator 3.29 minus 5.08 over denominator 100 minus 36 end fraction therefore straight lambda equals negative open parentheses fraction numerator 3.29 minus 5.08 over denominator 100 minus 36 end fraction close parentheses straight lambda equals negative open parentheses fraction numerator negative 1.79 over denominator 64 end fraction close parentheses straight lambda equals negative left parenthesis negative 0.027 right parenthesis equals 0.027 end style
Answered by Faiza Lambe | 17 Feb, 2016, 07:59: PM
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