3 . How the size of a nucleus is experimentally
determined? Write the relation between the radius 
and mass number of the nucleus  Show that  
density of nucleus is independent of its mass
number. 

Dear Student,

1- Radius of nucleous is determined by Rutherford α-particle scattering experiment by using the concept of distance of closest approach.2- Relation between mass number and radius of nucleous is given by                            R=R0A1/3   , Here R0=1.2×10-15m3-Density of nuclear matter is given by-       If m is average mass of a nucleon then mass of nucleous is given by M=mA                                      ρ=mA43πR3=mA43πR03A=3mA4πR03        ρ=3m4πR03 From  above it is clear that density of nucleous does not depends on mass number of the given element.Using m=1.66×10-27kg  and  R0=1.2×10-15m   we get  ρ=2.29×1017kg/m3.

Regards.

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