A) \[\sqrt{\frac{Vg({{\rho }_{1}}-{{\rho }_{2}})}{k}}\]
B) \[\frac{Vg{{\rho }_{1}}}{k}\]
C) \[\sqrt{\frac{Vg{{\rho }_{1}}}{k}}\]
D) \[\frac{Vg({{\rho }_{1}}-{{\rho }_{2}})}{k}\]
Correct Answer: A
Solution :
The condition for terminal speed \[({{\text{v}}_{t}})\] is Weight = Buoyant force \[+\] Viscous force \[\therefore \,\,\,\,\,V{{\rho }_{1}}g=V{{p}_{2}}g+k\text{v}_{t}^{2}\] \[\therefore \,\,\,\,\,\,{{\text{v}}_{t}}=\sqrt{\frac{Vg({{\rho }_{1}}-{{\rho }_{2}})}{k}}\]You need to login to perform this action.
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