Assume that the mass of a nucleus is approximately given by M = Am_p where A is the mass number. Estimate the density of matter in kg m^–3 inside a nucleus. What is the specific gravity of nuclear matter?

Given mass of nucleus(M) = Am_p

We know that,

(mass of proton)

where μ is the atomic mass unit ,

Radius of nucleus(R)

Volume(V)

Density(D)

= 3.0000688 × 10¹⁷ kg/m³

Specific gravity

= 3.0000688 × 10¹⁴.

Hence, the density of matter in kg m^–3 inside a nucleus is 3.0000688 × 10¹⁷ kg/m³ and its specific gravity is 3.0000688 × 10¹⁴.