Medium
Fill in the blanks:
$(i)$ The lines of flow and streamlines coincide with each other in ...... flow.
$(ii)$ The formula for the horizontal velocity of water coming from a hole at the bottom at a height $h$ from the surface of the water is ......
$(iii)$ $1 \ Pa = ...... \ dyne/cm^{2}$
$(iv)$ The relative velocity of two parallel layers of water is $6 \ cm/s$. If the perpendicular distance between the two layers is $0.1 \ mm$,then the velocity gradient will be ......
$(i)$ The lines of flow and streamlines coincide with each other in ...... flow.
$(ii)$ The formula for the horizontal velocity of water coming from a hole at the bottom at a height $h$ from the surface of the water is ......
$(iii)$ $1 \ Pa = ...... \ dyne/cm^{2}$
$(iv)$ The relative velocity of two parallel layers of water is $6 \ cm/s$. If the perpendicular distance between the two layers is $0.1 \ mm$,then the velocity gradient will be ......
(N/A) $(i)$ In steady flow,the path of a particle (line of flow) and the streamline coincide.
$(ii)$ According to Torricelli's law,the velocity of efflux is $v = \sqrt{2gh}$,where $g$ is the acceleration due to gravity.
$(iii)$ Since $1 \ Pa = 1 \ N/m^{2} = 10^{5} \ dyne / 10^{4} \ cm^{2} = 10 \ dyne/cm^{2}$.
$(iv)$ Velocity gradient $= \frac{dv}{dx} = \frac{6 \ cm/s}{0.1 \ mm} = \frac{6 \ cm/s}{0.01 \ cm} = 600 \ s^{-1}$.
$(ii)$ According to Torricelli's law,the velocity of efflux is $v = \sqrt{2gh}$,where $g$ is the acceleration due to gravity.
$(iii)$ Since $1 \ Pa = 1 \ N/m^{2} = 10^{5} \ dyne / 10^{4} \ cm^{2} = 10 \ dyne/cm^{2}$.
$(iv)$ Velocity gradient $= \frac{dv}{dx} = \frac{6 \ cm/s}{0.1 \ mm} = \frac{6 \ cm/s}{0.01 \ cm} = 600 \ s^{-1}$.
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