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Half-lives of elements A and B are 1h and 2h respectively. Which of the following is correct?A. Element A decays slowerB. Decay consist of A is smaller.C. If initial number of nuclei are same, than activity of A is moreD. Mean-life of A is more |
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Answer» Correct Answer - C Let initial numberof nuclei of each element `=N_(0)` Decay constants, `lambda_(A) = (0.693)/1 h^(-1)`, `lambda_(B) = (0.693)/2 h^(-2)` `lambda_(A) gt lambda_(B)` Activities, `R_(A) = lambda_(A) gt lambda_(B)` `R_(B) = lambda_(B)N_(0)` `rArr R_(A) gt R_(B)` as `lambda_(A)gtlambda_(B)` less half-life of element A implies faster decay. Mean-life, `rho=1/lambda` `rho_(A) = 1/lambda_(A)`, `rho_(B)= 1/lambda_(B)` `rho_(A) lt rho_(B)` as `lambda_(A) gt lambda_(B)` |
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