Consider a thin square plate floating on a viscous liquid in a large tank. The height $h$ of the liquid in the tank is much less than the width of the tank. The floating plate is pulled horizontally with a constant velocity $u_0$. Which of the following statements is (are) true?
$(A)$ The resistive force of liquid on the plate is inversely proportional to $h$
$(B)$ The resistive force of liquid on the plate is independent of the area of the plate
$(C)$ The tangential (shear) stress on the floor of the tank increases with $u_0$
$(D)$ The tangential (shear) stress on the plate varies linearly with the viscosity $\eta$ of the liquid

  • A
    $A, B, C$
  • B
    $A, B$
  • C
    $A, C, D$
  • D
    $A, C$

Explore More

Similar Questions

$A$ 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 .......... $dyne$.

The coefficient of viscosity of an ideal fluid is

$A$ space $2.5\ cm$ wide between two large plane surfaces is filled with oil. The force required to drag a very thin plate of area $0.5\ m^2$ just midway between the surfaces at a speed of $0.5\ m/s$ is $1\ N$. The coefficient of viscosity in $kg/(m \cdot s)$ is:

Difficult
View Solution

As the temperature of water increases,its viscosity

Hot liquids flow more easily than cold liquids. Give the reason.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo