Home
Class 11
PHYSICS
The correct dimensions of the coefficien...

The correct dimensions of the coefficient of viscosity `eta` are

A

`[ML^(-1)T^(-2)]`

B

`[MLT^(-1)]`

C

`[ML^(-1)T^(-1)]`

D

`[ML^(-2)T^(-2)]`

Text Solution

Verified by Experts

The correct Answer is:
C

By Newton's formula
`eta=("dimensions of force")/("dimensions of area"xx "dimensions of velocity gradient")`
`=([MLT^(-2)])/([L^(2)][T^(-1)])=[ML^(-1)T^(-1)]`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise Exersice -05(B)|19 Videos
  • MISCELLANEOUS

    ALLEN|Exercise Exercise-02|77 Videos
  • MISCELLANEOUS

    ALLEN|Exercise Exersice-4[B]|14 Videos
  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos
  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-IV|8 Videos

Similar Questions

Explore conceptually related problems

Which one of the following represents the correct dimensions of the coefficient of viscosity?

Define coefficient of viscosity

Units of coefficient of viscosity are

The coefficient of viscosity for hot air is

The dimensional formula for coefficient of viscosity is

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. The dimensional formula for the coefficient of viscosity is :

The dimensions of coefficient of self inductances are

The force of viscosity is

When a solid moves therough a liquid, the liquid opposes the miotioon with a force F. The magnitude of F depends on the coefficient of viscosity eta of the liquid, the radius r of the sphere aknd the speed v of the sphere. Assuming that F is proportional to different powers of these quantities, guess a formula for F using the method of dimension.

Derive an expression for the rate of flow of a liquid through a capillary tube. Assume that the rate of flow depends on (i) pressure gradient (p/l) , (ii) The radius, r and (iii) the coefficient of viscosity, eta . The value of the proportionality constant k = pi/8 .