Question

A neutron star is the remnant left after certain supernovae (explosions of giant stars). Typically, neutron stars are about 23 km in diameter and have around the same mass as our sun. What is a typical neutron star density in g/cm^3? Express your answer in grams per cubic centimeter.

Answer 1

Answer:

3.122×10¹⁴ g/cm³

Explanation:

Diameter of neutron star = 23 km = 2300000 cm

Radius of neutron star = 2300000/2 = 1150000 cm = r

Mass of neutron star = 1.989 × 10³⁰ kg = 1.989 × 10³³ g = m

Volume of neutron star

$v=\frac{4}{3}\pi r^3\\\Rightarrow v=\frac{4}{3}\pi 1150000^3$

Density = Mass / Volume

$\rho=\frac{m}{v}\\\Rightarrow \rho=\frac{1.989\times 10^{33}}{\frac{4}{3}\pi 1150000^3}\\\Rightarrow \rho=3.122\times 10^{14}\ g/cm^3$

∴ Density of neutron star is 3.122×10¹⁴ g/cm³