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QPages 442-444: Q2: HC Verma: Concepts of Physics - Volume 2 The Nucleus Pages 442-444: Q2 Solution: A neutron star has a density equal to that of the nuclear…
⚠️ Common Exam Traps & Conceptual Pitfalls
When calculating the radius from volume, students often convert the final result to kilometers before taking the cube root or misapply the exponent, leading to errors of magnitude $10^3$. Always compute $R$ in meters first using $R = (3M/4\pi\rho)^{1/3}$, then convert to km by dividing by $1000$.
A neutron star has a density equal to that of the nuclear matter. Assuming the star to be spherical, find the radius of a neutron star whose mass is twice the mass of the sun).
Step-by-Step Verified Solution
**Answer:** Radius � 15 km.
**Step-by-Step Explanation:**
Given: Mass of neutron star M = 4.0 _ 10__ kg, density _ = 3.0 _ 10__ kg/m_ (from Q1).
M = _ V = _ (4/3)� R_.
R_ = 3M/(4�_) = 3 _ 4.0 _ 10__ / (4� _ 3.0 _ 10__) = 3.18 _ 10__.
R = (3.18 _ 10__)^(1/3) = 1.47 _ 10_ m � 15 km[citation:3][citation:9].
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