A) 1/27
B) 1/9
C) 27
D) 9
Correct Answer: D
Solution :
| [d] We have |
| \[{{V}_{T}}=\frac{2}{9}\frac{{{r}^{2}}}{\eta }({{\rho }_{0}}-{{\rho }_{\ell }})g\Rightarrow {{V}_{T}}\propto {{r}^{2}}\] |
| since mass of the sphere will be same |
| \[\therefore \]\[\rho \frac{4}{3}\pi {{R}^{3}}=24.\frac{4}{3}\pi {{r}^{3}}\rho \Rightarrow r=\frac{R}{3}\] |
| \[\therefore \]\[\frac{{{\text{v}}_{\text{1}}}}{{{\text{v}}_{\text{2}}}}=\frac{{{R}^{2}}}{{{r}^{2}}}=9\] |
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