HARD
Earn 100

Consider a situation in which there is a Newtonian fluid between two long coaxial uniformly moving cylinders of radius R and 2R.

Question Image 

50% studentsanswered this correctly

Important Questions on Properties of Solid and Liquid

MEDIUM
The velocity of water in a river is 18 km h-1 near the surface. If the river is 5m deep, find the shearing stress between the horizontal layers of water. The coefficient of viscosity of water=10-2 poise.
EASY
Under a constant pressure head, the rate of flow of orderly volume flow of liquid through a capillary tube is V. if the length of the capillary is doubled and the diameter of the bore is halved, the rate of flow would become
MEDIUM
The velocity of a small ball of mass M and density ρ, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is ρ2, then the viscous force acting on the ball will be:
EASY
The velocity of upper layer of water in a river is 36 km h-1. Shearing stress between horizontal layers of water is 10-3 N m-2. Depth of the river is _____ m. (Co-efficient of viscosity of water is 10-2 Pa s)
MEDIUM
Two capillary tubes of same length each of 50 cm but of different radii 4 mm and 2 mm are connected in series. When water flows, the pressure difference between the ends of the arrangement is P. Then the pressure difference between the ends of the first tube is
HARD

A steel ball is dropped in a viscous liquid. The distance of the steel ball from the top of the liquid is shown below. The terminal velocity of the ball is closest to

 

Question Image

HARD

A raindrop with radius R=0.2 mm falls from a cloud at a height h=2000 m above the ground. Assume that the drop is spherical throughout its fall and the force of buoyance may be neglected, then the terminal speed attained by the raindrop is : [Density of water fw=1000 kg m-3 and Density of air fa=1.2 kg m-3, g=10 m/s2 Coefficient of viscosity of air =1.8×10-5N s m-2

EASY
The velocity of water in a river is 18 km h-1 near the surface. If the river is 5 m deep, find the shearing stress between the horizontal layers of water. The coefficient of viscosity of water=10-2 poise.
MEDIUM
Which of the following option correctly describes the variation of the speed υ and acceleration 'a' of a point mass falling vertically in a viscous medium that applies a force F=-kυ , where 'k' is a constant, on the body? (Graphs are schematic and not drown to scale)
HARD
A thin 1 m long rod has a radius of 5 mm. A force of 50π×103 N is applied at one end to determine its Young's modulus. Assume that the force is exactly known. If the least count in the measurement of all lengths is 0.01 mm, which of the following statements is false?
HARD
Two spheres P and Q of equal radii have densities ρ1 and ρ2 , respectively. The spheres are connected by a massless string and placed in liquids L1 and L2 of densities σ1 and σ2 and viscosities η1 and η2 , respectively. They float in equilibrium with the sphere P in L1 and sphere Q in L2 and the string being taut (see figure). If sphere P alone in L2 has terminal velocity VP and Q alone in L1 has terminal velocity VQ , then

Question Image
HARD
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 u0. Which of the following statements is (are) true?
EASY
State and explain Poiseuille Law.
HARD
Under a pressure difference P the rate of flow of water through a capillary tube of length 2 l and radius r is IF. If this tube and another tube of length l and radius r are joined in series and the same pressure difference P acts across the combination, the rate of flow of water would be
EASY
Poiseuille's states that the velocity of a liquid flowing through a capillary is directly proportional to the pressure of the liquid and the fourth power of the radius of the capillary.
EASY
Which of the following is correct expression for Poiseuille's equation.?
HARD
Under a pressure head, the rate of orderly volume flow of liquid through a capillary tube is Q. If the length of capillary tube were doubled and the diameter of the bore is halved, the rate of flow would become
EASY
Why a definite pressure difference is necessary to pass a liquid through a horizontal pipe at constant pressure?
EASY
The  hydraulic radius Rh is the ratio of the area of the tube to its volume 
MEDIUM
What is Poiseuille's formula deduce it by means of dimensions?