Question

Neutron stars are one of the possible “final states” of a star. The idea is that for a sufficiently massive star, the gravitational pressure is enough to overcome the outward pressure (that comes from essentially the Pauli exclusion principle) that keeps fermions from coinciding with each other.

Part A) According to quantum statistics, the OUTWARD pressure of a (neutron) fermionic gas is given by P=[(3.9?^2)/(2m)](N/V)^(5/3), where m is the mass of a neutron, and N/V is the number density of the neutrons. Set the two pressures (outward and inward) equal to derive an equation for the volume of a neutron star as a function of its mass.

Part B) What would be the radius of a neutron star which had twice the mass of our Sun? Compare its density with the density of a nucleon and of a nucleus.

Answer #1

If both a neutron star and a white dwarf have a total mass of
1M®. If the radius of the white dwarf is 6 x
106 m and the neutron star has a radius of 8 km.
What is the density of the neutron star?
Compare the surface gravity of both stars?
Assuming the neutron star is entirely made up of neutrons and
the interparticle separation of a gas of density n is l
͌ n -1/3. How far apart are...

Neutron stars consist only of neutrons and have unbelievably
high densities. A typical mass and radius for a neutron star might
be 8.2 x 1028 kg and 1.7 x 103 m. (a) Find the density of such a
star. (b) If a dime (V = 2.0 x 10-7 m3) were made from this
material, how much would it weight (in pounds)?

Neutron stars, such as the one at the center of the Crab Nebula,
have about the same mass as our sun, but a much smaller
diameter.
Part A
If you weigh 700 N on the earth, what would you weigh on the
surface of a neutron star that has the same mass as our sun and a
diameter of 20.0 km?

One particular neutron star has a mass equal to 3.00 times the
mass of the sun. You may consider this neutron star to be a sphere
with a uniform density of 3.30×1017 kg/m3 !!
......compare that to the density of lead for example, at
1×104 kg/m3 . (A neutron star is created when a massive
star runs out of hydrogen fuel and collapses at the end of its
life. The neutron star is a very dense and spins rapidly). If...

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