A) \[{{v}_{e}}\propto \rho R\]
B) \[{{v}_{e}}\propto \sqrt{\rho }R\]
C) \[{{v}_{e}}\propto \frac{\sqrt{\rho }}{R}\]
D) \[{{v}_{e}}\propto \frac{1}{\sqrt{\rho }R}\]
Correct Answer: B
Solution :
\[{{v}_{e}}=R\sqrt{\frac{8}{3}G\pi \rho }\] \ \[{{v}_{e}}\propto R\sqrt{\rho }\]
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