A) \[23.2\] units
B) \[83.5\] units
C) 334 units
D) 167 units
Correct Answer: D
Solution :
Let a bubble of radius r and density p is rising up in a liquid whose density of a and coefficient of viscosity \[\eta \]. Since, bubble is moving up with constant velocity v, there is no acceleration in it, the net force acting on it must be zero. \[h=\frac{2}{9}\,\frac{{{r}^{2}}(\rho -\sigma )}{v}g\] Given \[v=-2\times {{10}^{3}}\,m{{s}^{-1}},\,\,r={{10}^{-2}}\,m\] \[\rho =0,\,\,\sigma =1.5\,\times {{10}^{3}}\,k{{g}^{-3}},\,\,g=10\,m{{s}^{-2}}\] \[\eta \,=\frac{2\times {{({{10}^{-2}})}^{2}}\,\times (-1.5\times {{10}^{3}})\times 10}{9\times (-2\times {{10}^{-3}})}\] \[=\frac{3}{18\times {{10}^{-3}}\,}=\frac{1}{6}\times {{10}^{3}}\,=0.167\,\times {{10}^{3}}\]167 unitsYou need to login to perform this action.
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