1.

The nucleus of an atom can be assumed to be spherical. The radius of the nucleus of mass number A is given by 1.25xx10^(-13) xx A^(1//3) cm Radius of atom is one Å. If the mass number is 64, Then the fraction of the atomic volume that is occupied by the nucleus is

Answer»

`1.0xx10^(-3)`
`5.0xx10^(-5)`
`2.5xx10^(-2)`
`1.25xx10^(-13)`

Solution :Radius of nucleus = `1.25xx10^(-13) XXA^(1//3) cm`
`=1.25xx10^(-13) xx 64^(1//3) =5xx10^(-13)` cm
Radius of ATOM =1Å=`10^(-8)` cm
`"Volume of nucleus"/"Volume of atom"=((4//3)pi(5xx10^(-13))^3)/((4//3)pi(10^(-8))^3)`
`=1.25xx10^(-13)`


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