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 M = 4.00 × 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. ) A) 12.7 km B) 25.4 km C) 16.1 km D) 18.5 km

Question

Quizplus · Accepted Answer

We can use the formula given in the hint:

r = rS1U1B10S1U1B0AS1U1P11/3S1S1P0

Substituting the values:

r = (1.20 × 10−S1U1P115S1S1P0 m) *(4.00 × 10S1U1P130S1S1P0 kg)^(1/3)/(2.53 × 10−S1U1P29S1S1P0 kg^(1/3))

r = 16.1 km

Therefore, the radius of the neutron star would be 16.1 km. Hence, the correct answer is C.

Certain Stars at the End of Their Lives Are Thought