A Newtonian fluid has the following velocity field : $$$\overrightarrow V = {x^2}y\widehat i + 2x{y^2}z\widehat j - y{z^3}\widehat k$$$

The rate of shear deformation $${\varepsilon _{yz}}$$ at the point $$x=-2, y=-1$$ and $$z=2$$ for the given flow is :

A circular plate $$1$$ $$m$$ in diameter is submerged vertically in water such that its upper edge is $$8m$$ below the free surface of water. The total hydrostatic pressure force on one side of plate is :

Water flows through a pipe of diameter $$0.30$$ $$m.$$ What would be the velocity $$V$$ for the conditions shown in the figure below?

The discharge in $${m^3}/s$$ for laminar flow through a pipe of diameter $$0.04$$ $$m$$ having a centre line velocity of $$1.5$$ $$m/s$$ is: