Question

Calculate the density of a neutron star with a radius 1.7 x 104 m, assuming the mass is distributed uniformly. Treat the neutron star as a giant nucleus and consider the mass of a nucleon 1.675 x 10-27 kg. Your answer should be in the form of N x 1017 kg/m3. Enter only the number N with two decimal places, do not enter unit.

Answer #1

Volume of a neutron star is given by -

V = (4/3) r^{3}

V = [(4/3) (3.14) (1.7 x 10^{4} m)^{3}]

V = 2.05 x 10^{13} m^{3}

Therefore, the density of a neutron star which will be given by -

_{} = m / V

where, m = mass of a star = 1.675 x 10^{-27} kg

then, we get

_{} = [(1.68 x
10^{30} kg) / (2.05 x 10^{13} m^{3})]

_{} = 8.19 x
10^{16} kg/m^{3}

_{} = 0.82 x
10^{17} kg/m^{3}

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