Which of following functions of A and B may be performed if A and B possess different dimensions

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9-1.Fluid Mechanics

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Which of the following functions of $A$ and $B$ may be performed if $A$ and $B$ possess different dimensions

A

$\frac{A}{B}$

B

$A + B$

C

$A -B$

D

none

Solution

Velocity gradient $=\frac{0.5}{\frac{2.5}{2} \times 10^{-2}}$

as force on the plate due to viscosity is from upper as well as lower portion of the oil, equal from each part,

Then, $F=2 \eta A \frac{d V}{d z}=2 \times \eta \times(0.5) \frac{0.5}{1.25 \times 10^{-2}}$

$\Rightarrow \eta=2.5 \times 10^{-2} \mathrm{kg}-\mathrm{sec} / \mathrm{m}^{2}$

Standard 11

Physics

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