A) \[\left[ M{{L}^{-3}} \right]\]
B) \[\left[ ML{{T}^{2}} \right]\]
C) \[\left[ M{{T}^{-1}} \right]\]
D) \[\left[ M{{L}^{-1}}{{T}^{-1}} \right]\]
Correct Answer: D
Solution :
Viscous force on a sphere of radius r is \[F=6\pi \eta rv\] \[\therefore \] \[\eta =\frac{F}{6\pi rv}\] \[|\eta |=\frac{|F|}{|r|\,|v|}=\frac{[ML{{T}^{-2}}]}{[L][L{{T}^{-1}}]}=[M{{L}^{-1}}{{T}^{-1}}]\] NOTE: The above expression is the Stokes law.You need to login to perform this action.
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