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(a) What is the average density of the sun? (b) What is the average density of a neutron star that has the same mass as the sun but a radius of only 20.0 km?

Short Answer

Expert verified

Average density of the sun is1409103kg/m3

Average density of a neutron star is5.941016kg/m35.941016kg/m3

Step by step solution

01

Identification of given data

Radius of neutron star = 20km

Mass of sun and neutron star is same.

02

Concept of density

Depending on the terminology used, the mass density or fluid density of a fluid is defined as the ratio of its mass to its volume.

Here mass of both sun and neutron sun is same but differ in radius so average density will be differ in both the cases.

03

Determination of density of sun

MassofsunMsun=1.991030kgRadiusofSunRsun=6.96108m

Substitute the above value in density formula,

sun=Msun43Rsun3=1.991030kg1.4121027m3=1409103kg/m3

04

Determination of density of neutron star

MassofneutronstarMneutron=1.991030kgRadiusofneutronstarRneutron=2104m

Substitute the above value in density formula,

neutron=Mneutron43Rneutton3=1.991030kg3.3510321013m3=5.941016kg/m3

Thus, average density of sun is1409103kg/m3 .

Average density of neutron star is 5.941016kg/m3.

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