(B) Given:Viscous drag force, $F = 1 \, N$Coefficient of viscosity, $\eta = 0.02 \, \text{decapoise} = 0.02 \, N \cdot s/m^2$Cross-sectional area, $A

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(B) Given:Viscous drag force, $F = 1 \, N$Coefficient of viscosity, $\eta = 0.02 \, \text{decapoise} = 0.02 \, N \cdot s/m^2$Cross-sectional area, $A = 20 \, m^2$According to Newton's law of viscosity, the viscous drag force is given by:$F = \eta A \frac{dv}{dx}$Rearranging the formula to find the velocity gradient $\frac{dv}{dx}$:$\frac{dv}{dx} = \frac{F}{\eta A}$Substituting the given values:$\frac{dv}{dx} = \frac{1}{0.02 \times 20}$$\frac{dv}{dx} = \frac{1}{0.4}$$\frac{dv}{dx} = 2.5 \, s^{-1}$Thus, the velocity gradient is $2.5 \, s^{-1}$.

Class 11 Physics Fluid Mechanics and Surface Tension Newton's Law of Viscosity

Easy

$A$ liquid having a coefficient of viscosity $0.02 \, \text{decapoise}$ is filled in a container of cross-sectional area $20 \, m^2$. If the viscous drag between two adjacent layers in flowing is $1 \, N$, then the velocity gradient is ........ $s^{-1}$.

A
$2.0$
B
$2.5$
C
$3.0$
D
$3.5$

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Fluid Mechanics and Surface Tension

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Newton's Law of Viscosity

$A$ square plate of side $0.1 \, m$ moves over another plate with a velocity of $0.1 \, m/s$ in a liquid of viscosity $0.01 \, poise$. If the viscous force acting is $0.002 \, N$,what is the distance between the two plates (in $, m$)?

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Discuss the coefficient of viscosity in terms of stress and strain.

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$A$ flat plate of area $10 \, cm^2$ is separated from a large plate by a layer of glycerine $1 \, mm$ thick. If the coefficient of viscosity of glycerine is $20 \, \text{poise}$, the force required to keep the plate moving with a velocity of $1 \, cm/s$ is .......... $dyne$.

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Water in a river $20 \ m$ deep is flowing at a speed of $10 \ ms^{-1}$. The shearing stress between the horizontal layers of water in the river in $Nm^{-2}$ is (Coefficient of viscosity of water $= 10^{-3} \ SI \ units$)

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$A$ square plate of $0.1 \; m$ side moves parallel to a second plate with a velocity of $0.1 \; m/s$, both plates being immersed in water. If the viscous force is $0.002 \; N$ and the coefficient of viscosity is $0.01 \; \text{poise}$, the distance between the plates in $m$ is:

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$A$ liquid having a coefficient of viscosity $0.02 \, \text{decapoise}$ is filled in a container of cross-sectional area $20 \, m^2$. If the viscous drag between two adjacent layers in flowing is $1 \, N$, then the velocity gradient is ........ $s^{-1}$.

Similar Questions

$A$ square plate of side $0.1 \, m$ moves over another plate with a velocity of $0.1 \, m/s$ in a liquid of viscosity $0.01 \, poise$. If the viscous force acting is $0.002 \, N$,what is the distance between the two plates (in $, m$)?

Discuss the coefficient of viscosity in terms of stress and strain.

$A$ flat plate of area $10 \, cm^2$ is separated from a large plate by a layer of glycerine $1 \, mm$ thick. If the coefficient of viscosity of glycerine is $20 \, \text{poise}$, the force required to keep the plate moving with a velocity of $1 \, cm/s$ is .......... $dyne$.

Water in a river $20 \ m$ deep is flowing at a speed of $10 \ ms^{-1}$. The shearing stress between the horizontal layers of water in the river in $Nm^{-2}$ is (Coefficient of viscosity of water $= 10^{-3} \ SI \ units$)

$A$ square plate of $0.1 \; m$ side moves parallel to a second plate with a velocity of $0.1 \; m/s$, both plates being immersed in water. If the viscous force is $0.002 \; N$ and the coefficient of viscosity is $0.01 \; \text{poise}$, the distance between the plates in $m$ is:

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