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Consider steady fully developed flow of a liquid through two large horizontal flat parallel plates separated by a distance of $2 \mathrm{~mm}$. One of the plate is fixed and the other plate moves at a speed of $0.5 \mathrm{~m} / \mathrm{s}$. What is the magnitude of the pressure gradient in $\mathrm{Pa} / \mathrm{m}$ in the direction of the flow required to ensure that the net flow through the plates is zero?

Dynamic viscosity of the liquid is $5 \times 10^{-4} \mathrm{Ns} / \mathrm{m}^2$
$\text{(Round off to the nearest integer)}$

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