Question

Question 17 The Earth's average density is 5.5 g/cm" Yet the density of rocks at the surface are typically 2-4 g/cm". What does that tell you about what the density must be closer to the center of the Earth? you about what the density

Answer 1

Answer with explanation:

Since the density of the rocks at the surface of earth equals
`2-4gm/cm^(3)` which is much lesser than the average density of the earth equaling
`5.5gm/cm^(3)` thus we conclude the density of material closer is greater than
`5.5gm/cm^(3)`.This can be mathematically shown as under:

`\rho _(earth)=(\rho _(surface)+\rho _(core))/(2)\\\\5.5gm/cm^(3)=((2-4)gm/cm^(3)+\rho _(core))/(2)\\\\\therefore \rho_(core)=[2* 5.5-(2-4)]gm/cm^(3)\\\\\therefore \rho_(core)=(7-9)gm/cm^(3)`

Thus we conclude that the density of the matter closer to the center ranges between
`7-9gm/cm^(3)`