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Course of The First World War - Eastern War Front

The dimension...

Question

The dimensions of a pressure gradient in a fluid flow are

A

M L^{- 1} T^{2}

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B

M L^{- 3} T^{- 2}

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C

M L^{- 2} T^{- 2}

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D

M^{- 1} L^{- 3} T^{- 2}

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Solution

The correct option is C $M L^{- 2} T^{- 2}$
Pressure gradient = pressure intensity per unit length

$= \frac{D i m e n s i o n o f p r e s s u r e i n t e n s i t y}{D i m e n s i o n o f l e n g t h}$

$= \frac{M L^{- 1} T^{- 2}}{L^{1}} = M L^{- 2} T^{- 2}$

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