A) \[{{2}^{1/3}}\,:1\]
B) \[1:{{2}^{1/3}}\]
C) \[{{3}^{1/2}}:\text{ }1\]
D) \[1\text{ }:\text{ }{{3}^{1/2}}\]
Correct Answer: B
Solution :
By momentum conservation principle \[\rho \frac{4}{3}{{\pi }^{3}}_{1}\,2v\,=\,\,\rho \frac{4}{3}\,\pi {{r}^{3}}_{2}\,v\] \[\therefore \,\,\,\frac{{{r}_{1}}}{{{r}_{2}}}=\frac{1}{{{2}^{\,1/3}}}\]
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