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Concepts Of Physics MCQ Edition [Volume 2]PhysicsThe Nucleus

A neutron star possesses a density equivalent to that of nuclear matter. Assuming the star is spherical, determine the radius of a neutron star with a mass of 4.0 10³⁰ kg (twice the mass of the sun).

Options

  1. A15 km
  2. B18 km
  3. C24 km
  4. D12 km

Correct answer

A. 15 km

Step-by-step solution

The density of nuclear matter is approximately 3 10¹⁷ kg/m ^3 . Given the mass of the neutron star, M = 4.0 10³⁰ kg . Assuming the neutron star is spherical, its density is given by: = M 4 3 R^3 Rearranging for the radius R : R^3 = 3M 4 Substituting the values: R^3 = 3 4.0 10³⁰ 4 3 10¹⁷ R^3 = 10¹³ 3.18 10¹² m ^3 Taking the cube root: R 1.47 10^4 m 15 km

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