Home
Class 11
PHYSICS
Viscosity is the property of fluid by vi...

Viscosity is the property of fluid by virtue of which fluid offers resistance to deformation under the influence of a tangential force.

In the given figure as the the plate moves the fluid particle at the surface moves from position `1` to `2` and so on, but particles at the bottom boundry remain stationary. if the gap between palte and bottom boundary is small, fluid particles in between plate and bottom moves with velocities as shown by linear velocity distribution curve otherwise the velocity distribution may be parabolic. As per Newton's law of viscity the tangential force is related to time rate of deformation -
`(F)/(A) alpha (d' theta)/(dt)` but `y = (d' theta)/(dt) = u, (d' theta)/(dt) = (u)/(y)`
then `F = eta A(u)/(y), eta =` coefficient of viscosity
for non-linear velocity distribution -
`F = eta A(du)/(dy)`
where `(u)/(y)` or `(du)/(dy)` is known as velocity gradiant.
The velocity gradient just below the plate, in above problem is equal to - (per second)

A

zero

B

`100`

C

`500`

D

`200`

Text Solution

Verified by Experts

The correct Answer is:
D
`(du)/(dy) = (F)/(etaA) = (2)/(10^(-2) xx 1) = 200`
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY AND VISCOCITY

    RESONANCE|Exercise Exercise- 3 PART - I|7 Videos

  • ELASTICITY AND VISCOCITY

    RESONANCE|Exercise Exercise- 3 PART - IV|9 Videos

  • ELASTICITY AND VISCOCITY

    RESONANCE|Exercise Exercise- 2 PART - II|8 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp 92 illustration|2 Videos

  • ELECTROMAGNETIC INDUCTION

    RESONANCE|Exercise Exercise|43 Videos

Similar Questions

Explore conceptually related problems

Viscosity is the property of fluid by virtue of which fluid offers resistance to deformation under the influence of a tangential force. In the given figure as the the plate moves the fluid particle at the surface moves from position 1 to 2 and so on, but particles at the bottom boundry remain stationary. if the gap between palte and bottom boundary is small, fluid particles in between plate and bottom moves with velocities as shown by linear velocity distribution curve otherwise the velocity distribution may be parabolic. As per Newton's law of viscity the tangential force is related to time rate of deformation - (F)/(A) alpha (d' theta)/(dt) but y = (d' theta)/(dt) = u, (d' theta)/(dt) = (u)/(y) then F = eta A(u)/(y), eta = coefficient of viscosity for non-linear velocity distribution - F = eta A(du)/(dy) where (u)/(y) or (du)/(dy) is known as velocity gradiant. The velocity gradient just near the bottom boundary is equal to -

Viscosity is the property of fluid by virtue of which fluid offers resistance to deformation under the influence of a tangential force. In the given figure as the the plate moves the fluid particle at the surface moves from position 1 to 2 and so on, but particles at the bottom boundry remain stationary. if the gap between palte and bottom boundary is small, fluid particles in between plate and bottom moves with velocities as shown by linear velocity distribution curve otherwise the velocity distribution may be parabolic. As per Newton's law of viscity the tangential force is related to time rate of deformation - (F)/(A) alpha(d' theta)/(dt) but y(d' theta)/(dt)=u,(d' theta)/(dt) = (u)/(y) then F = eta A(u)/(y), eta = coefficient of viscosity for non-linear velocity distribution - F = eta A(du)/(dy) where (u)/(y) or (du)/(dy) is known as velocity gradiant. In previous question the value of constant speed of palte (m//sec.) is equal to

Viscosity is the property of fluid by virtue of which fluid offers resistance to deformation under the influence of a tangential force. In the given figure as the the plate moves the fluid particle at the surface moves from position 1 to 2 and so on, but particles at the bottom boundry remain stationary. if the gap between palte and bottom boundary is small, fluid particles in between plate and bottom moves with velocities as shown by linear velocity distribution curve otherwise the velocity distribution may be parabolic. As per Newton's law of viscity the tangential force is related to time rate of deformation - (F)/(A) alpha (d' theta)/(dt) but y = (d' theta)/(dt) = u, (d' theta)/(dt) = (u)/(y) then F = eta A(u)/(y), eta = coefficient of viscosity for non-linear velocity distribution - F = eta A(du)/(dy) where (u)/(y) or (du)/(dy) is known as velocity gradiant. In the given figure if force of 2N required to maintain constant velocity of plate, the value of constant C_(1), & C_(2) are -

Viscosity is the property of fluid by virtue of which fluid offers resistance to deformation under the influence of a tangential force. In the given figure as the the plate moves the fluid particle at the surface moves from position 1 to 2 and so on, but particles at the bottom boundry remain stationary. if the gap between palte and bottom boundary is small, fluid particles in between plate and bottom moves with velocities as shown by linear velocity distribution curve otherwise the velocity distribution may be parabolic. As per Newton's law of viscity the tangential force is related to time rate of deformation - (F)/(A) alpha (d' theta)/(dt) but y = (d' theta)/(dt) = u, (d' theta)/(dt) = (u)/(y) then F = eta A(u)/(y), eta = coefficient of viscosity for non-linear velocity distribution - F = eta A(du)/(dy) where (u)/(y) or (du)/(dy) is known as velocity gradiant. If velocity distribution is given as (parabolic) u = c_(1)y^(2) + c_(2)y + c_(3) For the same force of 2N and the speed of the plate 2 m//sec , the constant C_(1), C_(2) & C_(3) are

Viscosity In Fluid

The path of a particle moving under the influence of a force fixed in magnitude and direction is [

Viscosity of the fluids is analogous to

In amniocentesis, the fluid is takes from

A particle moves in one dimension from rest under the influence of a force that varies with the distance travelled by the particle as shown in the figure. The kinetic energy (in J) of the particle after it has travelled 3 m is ___________