Home
Class 11
PHYSICS
The critical velocity v of a body depend...

The critical velocity v of a body depends on the coefficient of viscosity `eta` the density d and radius of the drop r. If K is a dimensionless constant then v is equal to

A

`( K eta d)/( r)`

B

`( Kd)/( eta r)`

C

`(K eta )/( dr)`

D

`(K r)/( eta r)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

The critical velocity v for a liquid depends upon (a) coefficient of viscosity eta (b) density of the liquid rho and © radius of the pipe r. Using dimensions derive an expression for the critical velocity.

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.

The velocity of a body depends on time according to the equation v=(t^(2))/(10)+20 . The body is undergoing

Volume rate flow of a liquid of density rho and coefficient of viscosity eta through a cylindrical tube of diameter D is Q. Reynold's number of the flow is

The velocity of a body depends on time according to the equative v = 20 + 0.1 t^(2) . The body is undergoing

In dimension of critical velocity v_(c) liquid following through a take are expressed as (eta^(x) rho^(y) r^(z)) where eta, rhoand r are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively then the value of x,y and z are given by

The rate of a flow V a of liquid through a capillary under a constant pressure depends upon (i) the pressure gradient (P/l) (ii) coefficient of viscosity of the liquid eta (iii) the radius of the capillary tube r. Show dimesionally that the rate of volume of liquid flowing per sec V∝ Pr^4 /ηl

The escape velocity of a body from the surface of the earth depends upon (i) the mass of the earth M, (ii) The radius of the eath R, and (iii) the gravitational constnat G. Show that v=ksqrt((GM)/R) , using the dimensional analysis.

The velocity v of the a particle depends upen the time t according to the equation v= a + bt + ( c) /(d+1) Write the dimension of a, b,c and d.

Using dimensions show that the viscous force acting on a glass sphere falling through a highly viscous liquid of coefficient of viscosity eta is Fprop eta av where a is the radius of the sphere and v its terminal velocity.