Which of the following is a possible dimensionless quantity?

Velocity gradient

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Pressure gradient

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Displacement gradient

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Force gradient

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Solution

The correct option is C Displacement gradient
Displacement gradient in x-direction is given by $\frac{d r}{d x}$
Since $r$ and $x$ have same dimension, this results the displacement gradient to be dimensionless quantity.

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Which of the following physical quantity is dimensionless?

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