State whether the following statements are True or False:
$(i)$ In incompressible flow,the density of a fluid changes with time and position.
$(ii)$ Non-viscous flow can be a streamline flow.
$(iii)$ In a steady flow,the velocity of the fluid at each point remains identical with time.

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(A) $(i)$ False. In an incompressible flow,the density $\rho$ of the fluid remains constant throughout the flow.
$(ii)$ False. $A$ non-viscous fluid has a coefficient of viscosity $\eta = 0$. From the Reynolds number formula $R_{e} = \frac{\rho v D}{\eta}$,as $\eta \to 0$,$R_{e} \to \infty$. Such a flow is typically turbulent and cannot be a streamline flow.
$(iii)$ True. By definition,in a steady flow,the velocity of the fluid particles at any given point in space does not change with time.

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