### Nuclear DensityNuclear matter is extremely dense.#### (a) Calculation of DensityCalculate the density, in \( \text{kg/m}^3 \), of \( A \) neutrons in a sphere of radius \( r = r_0 A^{1/3} \), where \( r_0 = 1.2 \times 10^{-15} \) m.#### (b) Finding the Diameter of a Sphere of Nuclear MatterFind the diameter of a sphere of nuclear matter that would have the same mass as the Earth. The average radius of the Earth is \( 6.4 \times 10^6 \) m and the average density of the Earth is \( 5.5 \times 10^3 \text{ kg/m}^3 \).

Nucleus is considered to be a sphere, and the density of a sphere is given as ρ=m43πr3m is the mass…

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