The radius of atom is of the order of

Asked by admin @ 16/08/2021 in Physics viewed by 297 People

The radius of atom is of the order of 1 angaston and radius of nucleus is of the order of Fermi.How many magnitudes higher is the volume of atom as compared to the volume of nucleus?

Answered by admin @ 16/08/2021

Let radius of nucleus be 'r'
And radius of atom be 'R'
Their shape can be supposed to be sphere
Vol Ratio = Vol of atom / Vol of nucleus
= (4/3πR³)/(4/3πr³) = (R/r)³
Now , R=10^-10m
r= 10^-15m
Volume Ratio = (10^-10/10^-15)³ = 10^125
Hence , volume of atom is 10^125 times greater than volume of nucleus

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