Answer the Following Questions: Q1. A neutron star is a collection of neutrons bound together by their mutual gravitation with a density comparable to that of an atomic nucleus (approximately $10^{15} g/cm^3$). Assume that the neutron star is a sphere and show that the maximum frequency with which it may rotate, if mass is not to fly off at the equator, is $f = \left(\frac{\rho G}{3\pi}\right)^{\frac{1}{2}}$ where $\rho$ is the density. Calculate $f$ for a density of $10^{12} g/cm^3$, and $G = 6.67 \times 10^{-11} sec^{-2}kg^{-1}$.
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