A) \[kg\,{{m}^{-1}}{{s}^{-1}},N{{m}^{-1}}\]
B) \[kg\,{{s}^{-2}},kg\,{{m}^{-1}}{{s}^{-1}}\]
C) \[N{{m}^{-1}},kg\,{{m}^{-1}}{{s}^{-2}}\]
D) \[kg\,{{s}^{-1}},\,kg\,{{m}^{-2}}{{s}^{-1}}\]
Correct Answer: B
Solution :
From the formula, Surface tension, \[(\gamma )\] \[=\frac{\Delta W}{\Delta A}=\frac{J}{{{m}^{2}}}=\frac{kg\,{{m}^{2}}{{s}^{-2}}}{{{m}^{2}}}=kg\,{{s}^{-2}}\] Form the formula, \[F=\eta .A.\frac{dV}{dx}\] or, \[\eta \](coefficient of viscosity) \[=\frac{F}{A.\frac{dV}{dx}}=\frac{H}{{{m}^{2}}.\frac{m{{s}^{-1}}}{m}}=N{{m}^{-2}}.s\] or \[kg\,m{{s}^{-2}}.{{m}^{-2}}.s=kg\,{{m}^{-1}}{{s}^{-1}}\]
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