Calculate the root mean square speed of smoking practices of mass 5xx10^(-17) kg in their Brownian motion in air at S.T.P

Calculate the root mean square speed of smoking practices of mass 5xx1

1.	Calculate the root mean square speed of smoking practices of mass 5xx10^(-17) kg in their Brownian motion in air at S.T.P
Answer» Solution :Given `K = 1.38xx10^(-23) ` J/K Here, `m = 5 xx10^(-17) KG, k = 1.38xx10^(-23)J//K` `T = 0^@C=(0+273)K=273K,v_(rms)=? ` `v_(rms)=SQRT((3RT)/M)=sqrt((3kNT)/(mN))` `=sqrt((3KT)/m)` `sqrt((3xx1.38xx10^(-23)xx273)/(5xx10^(-17)))` `v_(rms)=1.5xx10^(-2)m//s=1.5cm//s`