According to Newton,the viscous force acting between liquid layers of area $A$ and velocity gradient $\Delta v/\Delta z$ is given by $F = - \eta A \frac{\Delta v}{\Delta z}$,where $\eta$ is a constant called the coefficient of viscosity. The dimensions of $\eta$ are:
- A$[M L^2 T^{-2}]$
- B$[M L^{-1} T^{-1}]$
- C$[M L^{-2} T^{-2}]$
- D$[M^0 L^0 T^0]$
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The dimensions of ${e^2}/(4\pi \varepsilon _0 hc)$,where $e, \varepsilon _0, h,$ and $c$ are electronic charge,electric permittivity,Planck's constant,and velocity of light in vacuum respectively,are:
Difficult
View SolutionMatch List-$I$ with List-$II$.
List-$I$ List-$II$ $A$. Coefficient of viscosity $I$. $[ML^{-1}T^{-2}]$ $B$. Surface tension $II$. $[ML^2T^{-2}]$ $C$. Pressure $III$. $[ML^0T^{-2}]$ $D$. Surface energy $IV$. $[ML^{-1}T^{-1}]$
Choose the correct answer from the options given below:
| List-$I$ | List-$II$ |
|---|---|
| $A$. Coefficient of viscosity | $I$. $[ML^{-1}T^{-2}]$ |
| $B$. Surface tension | $II$. $[ML^2T^{-2}]$ |
| $C$. Pressure | $III$. $[ML^0T^{-2}]$ |
| $D$. Surface energy | $IV$. $[ML^{-1}T^{-1}]$ |
Choose the correct answer from the options given below:
In $SI$ units,the dimensions of $\sqrt {\frac{{{\varepsilon _0}}}{{{\mu _0}}}} $ are:
$MLT^{-1}$ represents the dimensional formula of
Medium
View SolutionThe dimensional formula $M L^{-1} T^{-2}$ does not represent which of the following physical quantities?
Medium
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