CBSE Questions for Class 11 Engineering Physics Mechanical Properties Of Fluids Quiz 5 - MCQExams.com

The area of pistons in a hydraulic machine are $$5  c{m}^{2}$$ and $$625  c{m}^{2}$$. The force on the smaller piston so that a load of $$1250  N$$ on the larger piston can be supported, is X N. Find $$\dfrac{X}{2}$$ N.
  • 5
  • 10
  • 1250
  • None of the above
Two vessels $$A$$ and $$B$$ of cross-sections as shown in figure contain a liquid up to the same height. As the temperature rises, the liquid pressure at the bottom (neglecting expansion of the vessels) will:
189679_6a330d8309bb470ca7c6fa81f21d3733.png
  • increase in $$A$$, decrease in $$B$$
  • increase in $$B$$, decrease in $$A$$
  • increase in both $$A$$ and $$B$$
  • decrease in both $$A$$ and $$B$$
A tank has a small hole at its bottom of area of cross-section a. Liquid is being poured in the tank at the rate $$Vm^3/s$$, the maximum level of liquid in the container will be(Area of tank A):
  • $$ \dfrac {V}{gaA}$$
  • $$ \dfrac {V^2}{2ga^2}$$
  • $$ \dfrac {V^2}{gAa}$$
  • $$ \dfrac {V^2}{2gaA}$$
Figure shows a capillary rise $$h$$. If air is blown through the horizontal tube in the direction as shown then rise in capillary tube will be 
189762_d8de8c3f640f4af5b59c61e5a1a23b33.png
  • $$= h$$
  • $$> h$$
  • $$< h$$
  • $$zero$$
In a hydraulic machine, a force of $$2  N$$ is applied on the piston of area of cross section $$10  c{m}^{2}$$. What force is obtained on its piston of area of cross section $$100  c{m}^{2}$$?
  • 20 N
  • 10 N
  • 5 N
  • 40 N
Two cylindrical vessels fitted with pistons A and B of area of cross section $$8  c{m}^{2}$$ and $$320  c{m}^{2}$$ respectively, are joined at their bottom by a tube and they are completely filled with water. Find : (i) the pressure on piston A, (ii) the pressure on piston B, and (iii) the thrust on piston B.(consider effort on piston A $$E=4kgf$$)
  • (i) $$5$$ $$kgf$$ $$c{m}^{-2}$$

    (ii) $$5$$ $$kgf$$ $$c{m}^{-2}$$

    (iii) $$160$$ $$kgf$$
  • (i) $$5$$ $$kgf$$ $$c{m}^{-2}$$

    (ii) $$5$$ $$kgf$$ $$c{m}^{-2}$$

    (iii) $$16$$ $$kgf$$
  • (i) $$10$$ $$kgf$$ $$c{m}^{-2}$$

    (ii) $$10$$ $$kgf$$ $$c{m}^{-2}$$

    (iii) $$160$$ $$kgf$$
  • (i) $$0.5$$ $$kgf$$ $$c{m}^{-2}$$

    (ii) $$0.5$$ $$kgf$$ $$c{m}^{-2}$$

    (iii) $$160$$ $$kgf$$
The diameter of neck and bottom of a bottle are $$2   cm$$ and $$10  cm$$ respectively. The bottle is completely filled with oil. If the cork in the neck is pressed in with a force of $$1.2  kgf$$, the amount of force applied on the bottom is
  • F= $$30$$ $$kgf$$
  • F=$$15$$ $$kgf$$
  • F = $$1.2  kgf$$
  • F=$$60$$ $$kgf$$
A water tank of height $$10m$$, completely filled with water is placed on a level ground. It has two holes one at $$3 m$$ and the other at $$7 m$$ from its base. The water ejecting from:
  • both the holes will fall at the same spot
  • upper hole will fall farther than that from the lower hole
  • upper hole will fall closer than that from the lower hole
  • more information is required
In a surface tension experiment with a capillary tube, water rises upto 0.1 m.  If the same experiment is repeated in an artificial satellite revolving around the earth, then the water will rise in the capillary upto a height of
  • 0.1 m
  • 9.8 m
  • 0.98 m
  • full length of capillary tube
A tank is filled up to a height $$2\ H$$ with a liquid and is placed on a platform of height $$H$$ from the ground.The distance $$x$$ from the ground where a small hole is punched to get the maximum range $$R$$ is

220529_5def6a9870a94866baac17e79ae89582.png
  • $$H$$
  • $$1.25\ H$$
  • $$1.5$$
  • $$2\ H$$
The correct sketch is


220535_7f01a143197e44d0ae394c2bc6e58965.png
  • None of these
Speed of efflux is

220533_11f4b37bb529439e97eb6abfe87bf45c.png
  • $$\sqrt{3gh}$$
  • $$\sqrt{2gh}$$
  • $$\sqrt{gh}$$
  • $$\displaystyle \frac{1}{2} \sqrt{2gh}$$
A large open tank has two holes in the wall. One is a square hole of side $$L$$ at a depth h from the top and the other is a circular hole of radius $$R$$ at a depth $$4 h$$ from the top, When the tank is completely filled with water, quantities of water flowing out per second from both holes are the same. Then $$R$$ is equal to
  • $$\displaystyle \frac{L}{\sqrt{2 \pi}}$$
  • $$2/\pi L$$
  • $$L$$
  • $$\displaystyle \frac{L}{2 \pi}$$
Three points $$A, B$$ and $$C$$ on a steady flow of a non viscous and incompressible fluid are observed. The pressure, velocity and height of the points $$A, B $$ and $$C$$ are $$(2,3, 1). (1, 2, 2)$$and $$(4, 1, 2)$$ respectively. Density of the fluid is $$1 kgm^{-3}$$ and all otner parameters are given in SI units. Then which of the following is correct? $$(g = 10 ms ^{-2})$$
  • points A and B lie on the same stream line
  • point B and C lie on same stream line
  • point C and A lie on same stream line
  • None of the above
In two figures

220546_3747670dff4242529c62bfaf6310fd5f.png
  • $$v_{1}/v_{2}= 1/2$$
  • $$t_{1}/t_{2}=2/1$$
  • $$R_{1}/R_{2}=1$$
  • $$v_{1}/v_{2}=1/4$$
A leakage begins in water tank at position $$P$$ as shown in the figure. The initial gauge  pressure pressure above that of the atmosphere) at $$P$$ was $$ 5 \times 10^{5} N/m^{2}$$ .If the density of water is $$ 1000 kg/m^{3}$$ the initial velocity with which water gushes out is:
220484_6cf8cba5908f4af9a89fd5b63a4644de.png
  • $$3.2 ms^{-1}$$
  • $$32 ms^{-1}$$
  • $$28 ms^{-1}$$
  • $$2.8 ms^{-1}$$
Distance $$x_{3}$$ is given by

220534_1e90cc82e2f74340a8850ab3849fc96a.png
  • $$\sqrt{3} a$$
  • $$\sqrt{2} a$$
  • $$\displaystyle \frac{1}{2}\sqrt{3} a$$
  • $$\displaystyle 2\sqrt{3} a$$
Two holes $$1$$ and $$2$$ are made at depths $$h$$ and $$16 h$$ respectively. Both the holes are circular but radius of hole-$$1 $$ is two times

220549_0ff918a63db445deae162f2b4bb100f3.png
  • Initially equal volumes of liquid will flow from both the holes in unit time
  • Initially more volume of liquid will flow from hole-2 per unit time
  • After some time more volume of liquid will flow from hole-1 per unit time
  • After some time more volume of liquid will flow from hole-2 per unit time
A viscous liquid flows through a horizontal pipe of varying cross-sectional area, Identify the option which correctly represent,, the variation of heighl of rise of liquid in each vertical tube:
  • None of these

222473.png
  • Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
  • Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
  • Assertion is correct but Reason is incorrect
  • Both Assertion and Reason are incorrect
Eight spherical rain drops of the same mass and radius are falling down with a terminal speed of $$6cms^{-1}$$. If they coalesce to form one big drop, what will be its terminal speed? Neglect the buoyancy due to air:
  • $$1.5cms^{-1}$$
  • $$6cms^{-1}$$
  • $$24cms^{-1}$$
  • $$32cms^{-1}$$
A steel ball of mass $$m$$ falls in a viscous liquid with terminal velocity $$v$$, then the steel ball of mass $$8\ m$$ will fall in the same liquid with terminal velocity:
  • $$v$$
  • $$4\ v$$
  • $$8\ v$$
  • $$16\sqrt{2}\ v$$
Uniform speed of $$2 cm$$ diameter ball is $$20 cm/s$$ in a viscous liquid. Then, the speed of $$1 cm$$ diameter ball in the same liquid is:
  • $$5cms^{-1}$$
  • $$10cms^{-1}$$
  • $$40cms^{-1}$$
  • $$80cms^{-1}$$
There is a small hole at the bottom of tank filled with water. If total pressure at the bottom is 3 atm  (1 atm $$= 10^{5} Nm^{-2})$$, then velocity of water flowing from hole is
  • $$\sqrt{400}ms^{-1}$$
  • $$\sqrt{600}ms^{-1}$$
  • $$\sqrt{60}ms^{-1}$$
  • None of these
A horizontal pipeline carries water in a streamline flow. At a point along the tube where the cross sectional area is $$10^{-2}m^{2}$$ , the water velocity is 2m/s and the pressure is 8000 Pa. The pressure of water at another point wher cross sectional area is $$0.5 \times 10^{-2} m^{2}$$ is
  • 4000Pa
  • 1000Pa
  • 2000Pa
  • 3000Pa
For the determination of the coefficient of viscosity of a given liquid, a graph between square of the radius of the spherical steel balls and their terminal velocity is plotted. The slope of the graph is given by
  • $$\cfrac { { r }^{ 2 } }{ v } $$
  • $$\cfrac { { v }^{ 2 } }{ r } $$
  • $$\cfrac{v}{r}$$
  • $$\cfrac{v}{{r}^{2}}$$
A cylindrical vessel is filled with water up to height $$H$$. A hole is bored in the wall at a depth $$h$$ from the free surface of water. For maximum range, $$h$$ is equal to :-
  • $$\displaystyle \dfrac{H}{4}$$
  • $$\displaystyle \dfrac{H}{2}$$
  • $$\displaystyle \dfrac{3H}{4}$$
  • $$H$$
(a) A force of $$200\;N$$ acts on an area of $$0.02\;m^2$$. Find the pressure in Pascal.
(b) What force will exert a pressure of $$50,000\ Pa$$ on an area of $$0.5\;m^2$$?
(c) Find out the area of a body which experiences a pressure of $$500\ Pa$$ by a force of $$100\;N$$.
  • (a)$$\;10000\;Pa$$, (b)$$\;25000\;N$$, (c)$$\;0.2\;m^2$$
  • (a)$$\;1000\;Pa$$, (b)$$\;2500\;N$$, (c)$$\;2\;m^2$$
  • (a)$$\;100000\;Pa$$, (b)$$\;250000\;N$$, (c)$$\;0.2\;m^2$$
  • (a)$$\;100\;Pa$$, (b)$$\;250\;N$$, (c)$$\;0.2\;m^2$$
The diagram (fig.) shows a venturimeter, through which water is flowing. The speed of water at a is 2 cm/sec. The speed of water at Y (taking $$g=1000\:cm/sec^{2}$$) is :-

282684.png
  • $$23\:cm/sec$$
  • $$32\:cm/sec$$
  • $$101\:cm/sec$$
  • $$1024\:cm/sec$$
The small piston of a hydraulic lift has an area of $$0.20m^2$$. A car weighing $$1.20\times 10^4N$$ sits on a rack mounted on the large piston. The large piston has an area of $$0.90m^2$$. How large a force must be applied to the small piston to support the car?
  • $$2.67\times 10^3N$$
  • $$2.67\times 10^4N$$
  • $$2.67\times 10^5N$$
  • $$2.67\times 10^6N$$
Water rises in a capillary upto a height h. If now this capillary is tilted by an angle of $$45^{\circ}$$, then the length of the water column in the capillary becomes
  • 2h
  • $$\displaystyle \frac{h}{2}$$
  • $$\displaystyle \frac{h}{\sqrt{2}}$$
  • $$h\sqrt{2}$$
The manometer shown below is used to measure the difference between water level of the two tanks. Calculate this difference for the conditions indicated.
299626_8a1cb8bca7c54b26a42f3ceb510a911e.png
  • 4 cm
  • 40 cm
  • 100 cm
  • 12 cm
In a hydraulic lift, used at a service station, the radius of the large and small piston is in the ratio of 20 : 1. What weight placed on the small piston will be sufficient to lift a car of mass 1500 kg?
  • 3.75 kg
  • 37.5 kg
  • 7.5 kg
  • 75 kg
A tank is filled with water up to height $$H$$. Water is allowed to come out of a hole P in one of the walls at a depth $$D$$ below the surface of water. The horizontal distance $$x$$ in terms of $$H$$ and $$D$$ will be expressed as :
331641_c77bdbc5c02946be84c89e64a8746ead.png
  • $$x\, =\, \sqrt {D(H - D)}$$
  • $$x\, =\, \sqrt {\displaystyle \dfrac {D(H - D)}{2}}$$
  • $$x\, =\, 2\sqrt {D(H - D)}$$
  • $$x\, =\, 4\sqrt {D(H - D)}$$
The area of cross-section of the two arms of a hydraulic press are 1 $$cm^2$$ and 10 $$cm^2$$ respectively (figure). A force of 50 N is applied on the water in the thicker arm. What force should be applied on the water in the thinner arm so that the water may remain in equilibrium?
299618_07c6095700be43c390b45d9a3a20dc6f.png
  • 5 N
  • 10 N
  • 25 N
  • 50 N
Two parallel glass plates are dipped partly in a liquid of density $$'d'$$ keeping them vertical. If the distance between the plates is $$'x'$$ Surface tension for liquid is $$T$$ & angle of contact is $$\displaystyle \theta $$ then rise of liquid between the plates due to capillary will be
  • $$\displaystyle \dfrac{T\cos \theta }{xd}$$
  • $$\displaystyle \dfrac{2T\cos \theta }{xdg}$$
  • $$\displaystyle \dfrac{2T}{xdg\cos \theta}$$
  • $$\displaystyle \dfrac{T\cos \theta }{xdg}$$
Water flows through a frictionless duct with a crosssection varying as shown in fig. Pressure p at points along the axis is represented by 
313876.PNG
Water flows in a horizontal tube as shown in figure. The pressure of water changes by 600 $$N/m^2$$ between x and y where the areas of cross - section are 3 $$cm^2$$ and 1.5$$cm^2$$ respectively. Find the rate of flow of water through the tube.
300344.jpg
  • $$ 189\, cm^3/s$$
  • $$ 159\, cm^3/s$$
  • $$ 189\, cm^2/s$$
  • $$ 159\, cm^2/s$$
For a fluid which is flowing steadily, the level in the vertical tubes is best represented by 
The height of mercury which exerts the same pressure as 20 cm of water column is :( Given relative density of mercury=13.56)
  • 1.47 cm
  • 14.8 cm
  • 148 cm
  • None of these
Two identical cylindrical vessels with their bases at the same level; contain liquid of density $$\rho$$. The area of both is $$S$$, but the height of liquid in one vessel is $${h}_{1}$$ and in other $${h}_{2}$$. The work done when both cylinders are connected, by gravity in equalising levels is:
  • $$\displaystyle\frac { 1 }{ 4 } g\rho S{ \left( { h }_{ 2 }-{ h }_{ 1 } \right) }^{ 2 }$$
  • $$g\rho S{ \left( { h }_{ 2 }-{ h }_{ 1 } \right) }^{ 2 }$$
  • $$g\rho S\left( { h }_{ 2 }-{ h }_{ 1 } \right) $$
  • $$\displaystyle\frac { 1 }{ 4 } g\rho S\left( { h }_{ 2 }-{ h }_{ 1 } \right) $$
The pressure of gas in a metal cylinder is 4 atmospheres at $$27 C$$, then the pressure at $$54 C$$: (in atmosphere)
  • $$4.36$$
  • $$8$$
  • $$3$$
  • $${400}/{109}$$
A container is filled with water to a height of 10 m. The pressure exerted by the water at the bottom of the container is _____ Pa.
  • $$9.8 * 10^4$$
  • 980
  • $$980 * 10^5$$
  • $$19.6 * 10^4$$
A fixed cylindrical vessel is filled with water up to height $$H$$. A hole is bored in the wall at a depth $$h$$ from the free surface of water. For maximum horizontal range $$h$$ is equal to :
  • $$H$$
  • $$3H/4$$
  • $$H/2$$
  • $$H/4$$
The height of mercury which exerts the same pressure as 20 cm of water column, is_____
  • 1.47 cm
  • 14.8 cm
  • 148 cm
  • none of these
The pressure exerted by a liquid column at the bottom of the container at a point inside a fluid
  • does not depend on the area of cross-selection of container.
  • dependent of the density of the fluid.
  • equal in all directions.
  • All the above are true
Water flows through a frictionless duct with a cross section varying as shown in fig. Pressure $$p$$ at points along the axis is represented by
331671.jpg
Two capillary tubes of diameters 3.0 mm and 6.0 mm are joined together to form a U-tube open at both ends. If the U-tube is filled with water, what is the difference in its levels in the two limbs of the tube? Surface tension of water at the temperature of the experiment is $$7.3 \times 10^{-2} N/m$$. Take the angle of contact to be zero and density of water to be $$10^3 kg/m^3(g = 9.8 m/s^2)$$
  • 5 mm
  • 10 mm
  • 15 mm
  • 20 mm
A 20 cm long capillary tube is dipped vertically in water and the liquid rises upto 10 cm. If the entire system is kept in a freely falling platform, the length of the water column in the tube will be
  • 5 cm
  • 10 cm
  • 15 cm
  • 20 cm
The work done in splitting a drop of water of $$1 mm$$ radius into $$\displaystyle { 10 }^{ 6 }$$ droplets is (surface tension of water $$\displaystyle 72\times { 10 }^{ -3 }{ N }/{ M }$$ ) ;
  • $$\displaystyle 5.98\times { 10 }^{ -5 }J$$
  • $$\displaystyle 10.98\times { 10 }^{ -5 }J$$
  • $$\displaystyle 16.95\times { 10 }^{ -5 }J$$
  • $$\displaystyle 8.95\times { 10 }^{ -5 }J$$
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