The nucleus of an atom can be modeled as several protons and neutrons closely packed together. each particle has a mass of 1.67 10-27 kg and radius on the order of 10-15 m. (a) use this model and the data provided to estimate the density of the nucleus of an atom. 3.9868*10^17kg/m^3 incorrect: your answer is incorrect. check the syntax of your response. (b) compare your result with the density of a material such as iron (rho = 7874 kg/m3). what do your result and comparison suggest about the structure of matter?

Explanation:

The nucleus of an atom can be modeled as several protons and neutrons closely packed together.

Mass of the particle,

Radius of the particle,

(a) The density of the nucleus of an atom is given by mass per unit area of the particle. Mathematically, it is given by :

, V is the volume of the particle

So, the density of the nucleus of an atom is .

(b) Density of iron,

Taking ratio of the density of nucleus of an atom and the density of iron as :

So, the density of the nucleus of an atom is times greater than the density of iron. Hence, this is the required solution.

the answer is b ) square root of 5