SOLVED:(a) Assuming an atomic nucleus is spherical in shape, show that its radius r is proportional to the cube root of the mass number (A) . (b) In general, the radius of a nucleus is given by r=r0 A^1 / 3, where r0 is a proportionality constant given by 1.2 ×10^-15 m Calculate the volume of the Li nucleus. (c) Given that the radius of 3^7 Li atom is 152 pm, calculate what fraction of the atom's volume is occupied by its nucleus. Does your result support Rutherford's model of the atom?
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