Question

Assume that protons and neutrons have equal masses Mass of a mucleon is $16 \times 10^{-27} kg$ and radius of nucleus is $15 \times 10^{-15} A ^{1 / 3} m$ The approximate ratio of the nuclear density and water density is $n \times 10^{13}$ The value of $n$ is ___

Answer 1

The correct answer is 11.

density of nuclei = volume of nuclei mass of nuclei ​

ρ=34​π(1.5×10−15)3A1.6×10−27A​

=14.14×10−451.6×10−27​=0.113×1018

ρw​=103

Hence ρw​ρ​=11.31×1013