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The radius of atom is of the order of 1 ...

The radius of atom is of the order of 1 Å 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 ?

Text Solution

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Radius of atom = `1Å=10^(-10)m`
Radius of nucleus=`1"fermi"= 10^(-10)m`
Volume of atom=`V_(A)=4/3piR_(A)^(3)`
Volume of nucleus `V_(N)=4/3piR_(N)^(3)`
`V_(A)/V_(N)=(4/3piR_(A)^(3))/(4/3piR_(N)^(3))=(R_(A)/R_(N))^(3)=((10^(-10))/(10^(-15)))^(3)=10^(15)`
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