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1.

A metal sphere of radius 1 mm falls vertically in glycerine Find the viscous force exerted by the glycerine on the sphere when the speed of the sphere is `1cm^(-1)` For glycerine . `eta=8.0 `poise .

Answer» Correct Answer - `1.5xx10^(-4)N`
2.

A pitot tube dipped in a river and its gauge indicates 5cm of water column .What is the velocity of flow of water in the river?

Answer» Correct Answer - `0.99ms^(-1)`
3.

An air bubble of diameter 2 cm is allowed to rise through a long cylindrical columu of viscous liquid and travels at the rate of 0.21 `cms^(-1)` If the density of the liquid is 1.47`g cm^(-3)` find the cofficient of vicosity .Given `g=9.8ms^(-2)` Density of air is to be neglecteed .

Answer» Correct Answer - `152.44Nsm^(-2)`
4.

At what speed the velocity head of a stream of water be equal to 40 cm of Hg

Answer» Correct Answer - `10.362 ms^(-1)`
5.

Alcohol flows through two capillary tubes under a constant pressure head the diameters of the two tubes are in the ratio of `4:1` and the lengths are in the ratio `4:1` Compare the rates of flow of alcohols through the two tubes .

Answer» Correct Answer - `64:1`
6.

In normal adult the average speed of the though the aorta (which has a radius of 0.9 cm) is `0.33ms^(-1)` From the aorta ,the blood goes into major arteries which are 30 in number ,each of radius 0.5 Calculate the speed of blood through the arteries.

Answer» Correct Answer - `0.036ms^(-1)`
7.

Velocity of flow of water in a horizontal pipe is `4.9 ms^(-1)` Find the velocity heat of water.

Answer» Correct Answer - 1.225 m
8.

A pipe is running full of water. At a certain point `A` it tapers from `60 cm` diameter to `20 cm` diameter at `B`. The pressure difference between `A` and `B` is `100 cm` of water column. Find the rate of flow of water through the pipe.

Answer» Correct Answer - `1.4xx10^(5) cms^(-1)`
9.

A garden hose having an internal diameter 2.0 cm is connected to a lawn sprinkle that consists of an enclosure with 24 holes , each 0.125 cm in diameter. If water in the hose has a speed of `90.0 cm s^(-1)` , find the speed of the water having the sprinkler hole.

Answer» Correct Answer - `9.6cms^(-1)`
10.

The difference of height between the two limbs of a manometer connected at the ends of 20 cm long tube of 1 mm radius is 28 cm If 8 cm `8cm^(3)` of water is collected in 3 minutes ,calculate the coefficient of viscosity .

Answer» Correct Answer - 1.212 poise
11.

Water is flowing though a cylindrical pipe of cross -sectional area 0.04 `pi m^(2)` at a speed of` 1.0 ms ^(-1)` If the diameter of the pipe is halved ,then find the speed of flow of water through it .

Answer» Correct Answer - `4.0ms^(-1)`
12.

The diameter of the throat of a venturimeter is 6 cm .when it is inserted in a horizontal pipe line of diameter 10 cm the pressure difference between the pipe and the thraot equal 8 cm of water . Calulate the rate of flow.

Answer» Correct Answer - `3795 cm^(3) s^(-1)`
13.

A spherical glass ball of mass `1.34xx10^(-4)` kg and diameter `4.4xx10^(-3)` m atakes 6.4 s to fall steadily thorugh a height of 0.381 m inside a large volume of oil of specitic gravity 0.943 Calcualte the visosity ifoil.

Answer» Correct Answer - 0.8025 `Nsm^(-2)`
14.

The water entering a hauze flows with a speed of `0.1ms^(-1)` through a pipe of 21 mm inside diameter .What is the speed of water at a point ,where pipe tapers to a diameter of 7mm?

Answer» Correct Answer - `0.9ms^(-1)`
15.

Calculate the mass of water flowing in 10 minutes throuth a tube 1 mm in diameter and 0.40 m long ,if there is a constant pressure heat of 20 cm of water . Coefficient of visosity of water is 0.00089 Pas.

Answer» Correct Answer - 0.08112 kg
16.

One end of a horizontal pipe is closed with the help of a valve and the reading of a barometer attached in the pipe is `3xx10^(5)` pascal When the value in the pipe is opened then the reading of barometer falls to `10^(5)` pascal the velocity of water flowing through the pipe will be in m/s-

Answer» Correct Answer - `20ms^(-1)`
17.

Water is flowing througth a horizontal tube of length 0.25 m and radius `4xx10^(-4)` m under a constant pressure head of 0.2 m of water , at the rate of `5xx10^(-6)` `m^(3)` per minture Calcutae the coefficient of viscosity of water .Density of water `=1000kgm^(-3)`

Answer» Correct Answer - `0.000945 decapoise`
18.

It water flows horizontally through a pipe of varying cross section and the pressure of water equals `10 cm` of `Hg` at a point where the velocity of flow is `40 cm//s`, what is the pressure at another point where the velocity of flow is `50 cm//s`?

Answer» Correct Answer - 0.09966 m of Hg
19.

Find the critical velocity for air flowing through a tube of 2cm diammeter .For air `rho=1.3xx10^(-3)gcm^(-3) and eta=181xx10^(-6)` poise

Answer» Correct Answer - `140cms^(-1)`
20.

A metel plate 100 sq cm in area rests on a 2-mm layer of castor oil, whose coefficient of viscosity is `1.55` SI units. Calculate the horizontal force required to move the plate with a speed of 3 cm per second. [Hint: `F=-etaA(dv)/(dx)."Here"(dv)/(dx)=(3xx10^(-2)ms^(-1))/(2xx10^(-3))=15s^(-1)`.]

Answer» Correct Answer - 23250dyne
21.

A tank cotaining water has an orifice 10 m below the surface of water in the tank . If there is no wastage of energy ,find the speed of discharge.

Answer» Correct Answer - `14ms^(-1)`
22.

Water flows at the rate of 4 litres per second through an orifice at the bottom of tank which contains water 720 cm deep .Find the rate of escape of water if additionalpressure of 16 f/cm is applied at the surface of water.

Answer» Correct Answer - `19.28 litre s^(-1)`
23.

A metal plate of area `0.02m^(2) ` is lying on a liquid layer of thickness `10^(-3)` m and coeffcient of viscosity 120 poise .Calcualate the horizontal force requirred to move the plate with a speed of `0.025ms^(-1)`

Answer» Correct Answer - 6 n
24.

Calcualate speed of effux of kerosene from an orifice of a tank in which in the tank if therre contaning water has an orifice of an tank in which pressure is 4 atmosphere .Density of kerosene is 0.72 kg per litre .One atmosphere `=1 kg f cm^(-2)`.

Answer» Correct Answer - `33.5 ms^(-1)`