Home
Class 11
PHYSICS
If the shearing stress between the horiz...

If the shearing stress between the horizontal layers of water in a river is 1.5 `"milli newton"//m^(2)` and `eta_("water")=1xx10^(-3)Pa.s` The velocity gradient is …`s^(-1)`

A

1.5

B

3

C

0.7

D

1

Text Solution

Verified by Experts

The correct Answer is:
A

`(dv)/(dx)=(F)/(A eta)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - I - (C.W) (POISEUILLE.S EQUATION)|5 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - I - (C.W) (TERMINAL VELOCITY & VISCOUS FORCE)|2 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - I - (C.W) (TORRICELLI.S THEOREM)|3 Videos
  • MATHEMATICAL REVIEW & PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|13 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise LEVEL-II (H.W)|24 Videos

Similar Questions

Explore conceptually related problems

The velocity of water in a river is 2ms at the surface.If the river is 2m deep the shearing stress between the horizontal layers of water assuming bottom layer at rest ( eta=10^(-3) S I units for water)

The velocity of water in a rier is 18kmh^-1 near the surface. If the river is 5 m deepm, find the shearing stress between the horizontal lyers of water. The coefficient of viscosity of water =10^-2 poise.

Knowledge Check

  • The velocity of water in a river is 18 kmph near the surface. If the river is 4 m deep, the shearing stress between horizontal layers of water in Nm^(-2) is (eta_("water")=1xx10^(-3)pa.s)

    A
    `2.5xx10^(-3)`
    B
    `1.25xx10^(-3)`
    C
    `0.75xx10^(-3)`
    D
    0
  • A river 10 m deep is flowing at 5ms^(-1) . The shearing stress between horizontal layers of the rivers is ( eta=10^-(3) SI units)

    A
    `10^(-3)N//m^(2)`
    B
    `0.8xx10^(-3)N//m^(2)`
    C
    `0.5xx10^(-3)N//m^(2)`
    D
    `1 N//m^(2)`
  • The velocity of water in a river is 18 km/h near the upper surface. The river 5 m deep. What is the shearing stress between the horizontal layers of water ? (Coefficient of viscosity of water= 10^(- 2) Poise)

    A
    `10^(-1)N//m^2`
    B
    `10^(-2)N//m^2`
    C
    `10^(-3)N//m^2`
    D
    `10^(-4)N//m^2`
  • Similar Questions

    Explore conceptually related problems

    The relative velocity of two parallel layers of water is 8 cm/sec. If the perpendicular distance between the layers is 0.1 cm, then velocity gradient will be

    The velocity of water near a river's surface is 20 km/hr. If the depth of the river is 4 m, calculate the shearing stress between the horizontal layers of water. Take, coefficient of viscosity of water = 0.01 poise.

    The velocity of water in a river is 72 km h^(-1) near the surface. If the river is 4 m deep, find the shearing stress between horizontal layers of water. Coefficient of viscosity of water = 0.01 poise.

    When a liquid flows in a tube, there is relative motion between adjacent layers of the liquid. This force is called the viscous force which tends to oppose the relative motion between the layers of the liquid. Newton was the first person to study the factors that govern the viscous force in a liquid. According to Newton’s law of viscous flow, the magnitude of the viscous force on a certain layer of a liquid is given by F = - eta A (dv)/(dx) where A is the area of the layer (dv)/(dx) is the velocity gradient at the layer and eta is the coefficient of viscosity of the liquid. A river is 5 m deep. The velocity of water on its surface is 2 ms^(-1) If the coefficient of viscosity of water is 10 ^(-3 ) Nsm ^(-2) , the viscous force per unit area is :

    The velocity of water in river is 180 km h^(-1) near the surface .If the river is 5 m deep,then the shearing stress between the surface layer and the bottom layer is ( cofficient of viscosity of water eta =10^(-3) Pa s)