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in the expression A= A 0 e -ax/k T, k is the boltzman constant an T is the absolute temperature. the dimensions of aa are the same as those of _____? can any one give correct explanation

in the expression A=A0 e-ax/k T,   k is the boltzman constant an T is the absolute temperature. the dimensions of aa are the same as those of _____?


can any one give correct explanation

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1 Answers

vikas askiitian expert
509 Points
12 years ago

e-ax/kT    this is dimension less quantity

 so  -ax/kT =[M0L0T0]                        

(kinetic energy=3kT/2 ,so dimensions of KT is equal to dimensions of energy =[ML2T-2]  )

          a =dimension of  KT/x

          a=ML2T-2/L

           a =[MLT-2]

 

 

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