Assume that protons and neutrons have equal masses. Mass of a nucleon is 1 . 6 × 10 - 27 kg and radius of nucleus is 1 . 5 × 10 - 15 A 1 3 m . The approximate ratio of the nuclear density and water density is n × 10 13 . The value of n is _____.

Step-by-step solution

As we know, density of nuclei =  mass of nuclei   volume of nuclei  ⇒ ρ = 1 . 6 × 10 - 27 A 4 3 π 1 . 5 × 10 - 15 3 A = 1 . 6 × 10 - 27 14 . 14 × 10 - 45 = 0 . 113 × 10 18   kg   m - 3 We also know that, density of water is ρ w = 10 3   kg   m - 3 . Hence, ρ ρ w = 11 . 31 × 10 13 . Therefore, n ≈ 11