1.

The nucleus of an atom can be assumed to be spherical. The radius of the nucleus of mass number A is given by 1.25 xx 10^(-13) xx A^(1//3) cm. Radius of atom is one A. 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)xx64^(1//3)` cm
`=1.25xx10^(-13)xx4cm=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))=(125xx10^(-39))/(10^(-24))`
`=125xx10^(-15)=1.25xx10^(-13)`


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