Certain stars at the end of their lives are thought to collapse combining their protons and electrons together to form a neutron star.Such a star could be thought of as a giant atomic nucleus.If a star of mass equal to that of the sun (M = 1.99 × 10³⁰ kg)collapsed into neutrons (m_n = 1.67 × 10−²⁷ kg),what would be the radius of such a star? (Hint: r = r₀A^1/3,where r₀ = 1.20 × 10−¹⁵ m).

Question

Quizplus · Accepted Answer

Using the formula given, we can calculate the radius of the neutron star: r = r₀A^1/3 Plugging in the values for the mass of the collapsed star and the mass of a neutron, we get: r = (1.20 × 10−¹⁵ m)(1.99 × 10³⁰ kg)/(1.67 × 10−²⁷ kg)^1/3 r ≈ 12.7 km Therefore, the best choice is C, with a radius of 12.7 km.

Certain Stars at the End of Their Lives Are Thought