This assignment contains Important objective questions of mechanical properties of fluid , based on pressure atmospheric pressure , Pascal’s law , buoyancy etc.

It will be beneficial for the students preparing for 11th , NEET / JEE and other examination.

Mechanical properties of fluids

__Questions based on fluid pressure , atmospheric pressure, Pascal’s law__

1 . Dimension formula of pressure head is – (a) [M^{0} L^{0} T^{0} ] (b) [M L^{-1} T^{-2} ] (c) [M^{0} L^{1} T^{-2} ] (d) [M^{0} L^{1} T^{0} ].

Ans-d

2.The two thigh bones each of cross-sectional area 10cm^{2} supports the upper part of the person of a mass 50 kg . The average pressure sustained by the bones is , (a) 2.5 x 10^{5} N/m^{2} (b) 4 x 10^{5} N/m^{2} (c) 5 x 10^{5}N/m^{2} (d) 10^{6} N/m^{2} .

Ans-a

3.What is the pressure on the swimmer 20m below the surface of water? (a)1atm (b) 2atm (c) 3 atm (d) 4 atm .

Ans-c

4. Water is filled to a height H behind the dame of width w . The resultant force on the dame is ( if d is the density of water), (a) dgwH^{2} (b) 1/2 dgwH^{2} (c)2 dgwH^{2} (d)4 dgwH^{2}.

Ans-b

5. A tank is filled by density d of liquid upto height H . The average pressure on the wall of the container is (a) dgH (b) ½ dgH (c) ¼ dgH (d) 1/8 dgH .

Ans-b

6. Increase in pressure at one point of the enclosed liquid in equilibrium of rest is transmitted equally to all other point of the liquid . This is as per (a) Buoyancy (b) Pascals law (c) conservation of momentum (d) Impulse .

Ans-b

7. By sucking through a straw , a boy can reduce the pressure in his lungs to 750mm of Hg ( density of Hg is 13.6 g/cm^{3}). Using a straw he can drink water from a maximum depth of (a) 13.6 cm (b) 1.36 cm (d) 0.136 cm (d) 10 cm .

Ans-a

8. An open U-tube contains mercury , when 13.6 cm of water is poured into one of the arms of the tube , then the mercury rise in the other arm from its initial level is (a) 1cm (b) 0.5 cm (c) 10cm (d) 5 cm .

Ans-2

9. A cylinder of radius R full of liquid of density d Is rotated about its axis at w rad/sec. The increase in pressure at the centre of the cylinder will be (a) d w^{2} R^{2} /2 (b) d w^{2} R /2 (c) d^{2} w R /2 (d) d^{2} w^{2} R^{2} /2 .

Ans-a

10. A barometer kept in an elevator reads 76 cm when the accelerator is accelerating upward . The most likely pressure inside the elevator is ( in cm of Hg ) (a) 74 (b) 75 (c) 76 (d) 77 . Ans-d

__Questions based on Archimedes principle , Buoyancy (up-thrust )__

11. A body floating in water has 1/5^{th} of its volume immersed in water . What fraction of its volume will be immersed , if it floats in liquid of specific gravity 1.2 ? ans- 1/6

12. A cylinder of height 30 cm and radius 7cm is immersed completely in a fluid of density 1.3 x 10^{3} kg/m^{3} . What is the buoyant force acting on it? G =10m/s^{2} . ans-60N.

13. A metallic spheres weighs 35g in air and 28.5 g in water. Find its relative density and also find its weight in a liquid of relative density 0.9 . ans- r.d – 5.4 and app-wt-29.15g .

14. A piece of gold weighs 50 g in air and 45g in water. If there is cavity inside the piece of gold , then find its volume ( density of gold is – 19.3 gm/cc) Ans-2.4

15.An alloy of Zn and Cu weighs 16.8 g in air and 14.7 g in water. If relative density of Cu and Zn are 8.9 and 7.1 respectively then determine the amount of Zn and Cu in alloy. Ans- Cu-9.34 Zn-7.45g.

16.An object of mass m is floating in a liquid of density x . if the object is made up of density y , then the apparent weight of the object in the liquid is (a) mg (b) mg(1-x/y) (c) mg (1-y/x) (d) zero. Ans-d

17. A cube of edge length 10 cm is just balanced at the interface of two liquids A and B as shown in fig. if A and B has specific gravity of 0.6 and 0.4 respectively then the mass of the cube is .

(a) 240g (b) 360g (c) 480g (d) 540g . ans-c

18.A boat having some iron pieces is floating in the pond , if iron pieces are thrown in the pond then level of the liquid (a) increases (b) Decreases (c) may increase or decrease (d) remain the same. Ans-b

19.When two liquid of same mass and different densities d_{1} and d_{2} mixed together, then the density of the mixture is (a) d_{1} +d_{2} (b) d_{1} +d_{2} /2 (c) 2d_{1} d_{2} / d_{1} +d_{2} (d) 2d_{1} +2d_{2} . Ans-c

20. When two liquid of same volume and different densities d_{1} and d_{2} mixed together, then the density of the mixture is (a) d_{1} +d_{2} (b) d_{1} +d_{2} /2 (c) 2 d_{1} d_{2} / d_{1} +d_{2} (d) 2d_{1} +2d_{2} . Ans-a

21. if there were no gravity, then which of the following will not be there for the fluid ? (a) viscosity (b)surface tension (c) pressure (d) upward thrust . ans-d

22. An ice cube contains a large air bubble . The cube is floating on the horizontal surface of water contained in a trough. What will happen to the water level when the cube is melts? (a) remain unchanged (b) it will fall (c) it will rise ( d) first it will fall and then rise . ans-a

23. The density of ice is 0.9gm/cm^{3}.What percentage by volume by volume of the block of ice will float outside the water. (a) 10% (b)45% (c)75% (d)90% . ans-a

24. The reading of a spring balance when it is suspended in the air is 6oN . This reading is changed to 40N when it is submersed in water. The specific gravity of the block must be (a) 3 (b) 2 (c) 6 (d)1.5. ans-a

25. The weight of a body in water is one third of its weight in air. The density of the body in gm/cm^{3} is (a) 0.5 (b) 1.5 (c) 2.5 (d) 3.5 . ans-b