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If the average life time of an excited state of hydrogen is of the order of `10^(-8) s`, estimate how many whits an alectron makes when it is in the state `n = 2` and before it suffers a transition to state` n = 1 (Bohrredius a_(0) = 5.3 xx 10^(-11)m)`? |
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Answer» Correct Answer - `8xx10^(6)` `V_(2)=V_(0)xx(1)/(2)=(V_(0))/(2)` `x=vxxt` `x=(V_(0))/(2)xx10^(-8)sec=((V_(0)xx10^(-8))/(2))m` `2pir rarr 1` round `(V_(0)xx10^(-8))/(2)=(V_(0)xx10^(-8))/(2)xx(1)/(2pir)` `r_(2)=r_(0)xxn^(2)=4r_(0)` so, no. of revolutions `=(V_(0)//2xx10^(-8))/(2pixx4r_(0))=(V_(0)xx10^(-8)xx1)/(2xx2pixx4r_(0))` `=(2.18xx10^(6)xx10^(-18))/(2xx2xx3.14xx4xx0.529)` `(2.18xx10^(-12))/(2.6xx10^(-21))=0.838xx10^(9)=8xx10^(6)` |
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