Fluids Questions and Answers

12 A container with square base of side a is filled up to a height H with a liquid A hole is made at a depth h from the free surface of water With what acceleration the container must be accelerated so that the water does not come out a g C 2gH 2 b g 2 d 2gH 20

3 A vessel containing water has area of cross section 16 cm A small square hole of side 1 cm is at the bottom What will be the time taken by the water to empty the vessel if vessel is filled up to the height of 32 cm g 9 8 m s a 3 sec b 5 sec c 4 sec d 8 sec

5 Two parallel glass plates are dipped partly in the liquid of density d keeping them vertica the distance between the plates is x surface tension for the liquid is T and angle of conta then rise of liquid between the plates due to capillary will be T cos 0 2T cose 6 8 xd 27 d xdg T cose

5 A uniform sphere of mass m and another uniform hemisphere of the same material and radius r are placed in a vessel In the vessel water is filled up to height r 30 0 cm as shown There is no water or air under the hemisphere The sphere and the hemisphere both are connected with vertical threads to the ends of a light rod AB of length 116 cm having a hinge O Find the distance of the hinge from the end A so that when an upward minimum pull is applied at the hinge the sphere and the hemisphere both will simultaneously leave the bottom of the vessel Density of the material of the sphere is p 5 0 g cm and that of water is po 1 0 g cm D B

23 In the given figure the container slides down with acceleration a on an incline of angle 0 Liquid is stationary with respect to container Find out angle made by surface of liquid with horizontal plane if a g sine a 20 c 30 b 0 d tan 30 0 27

29 Two drops of the same radius are falling through air with a steady velocity of 5cm s If the two drops coalesce the terminal velocity would be 1 10 cm s 2 2 5 cm s 4 5x 3 cm s Key 3 Solution If R is radius of bigger drop formed then 3 5x 4 3 cm s

Consider the system shown in the figure A ball of density o is tied to the bottom of the bucket which contains a liquid of density p p o The volume of the ball is V and the mass of bucket along with its contents is 2M The system is released from rest The thread connected to the ball is taut The tension in the thread connected to the ball will be M w 2M Rate this question

A vessel of large area of cross section opened at the top has a small hole at its bottom and is 3 completely filled with water When the hole at the bottom is opened of volume of water 4 1 comes out in time t The time 1 taken for the remaining of the water to come out is equal to 4 1 t 4 4 2 4 4 3

A vessel of large uniform cross sectional area resting on a horizontal surface holds two immiscible non viscous incompressible liquids of densities d and 2d each of height H 2 If a H small hole is punched on the vertical side of the container at a height h h from the 2 bottom of the vessel the efflux speed of the liquid through the hole is 1 2g H h 2 g H h 3 3H 4h 4 4H 3h

The area of cross section of a current carrying conductor is Ao and at section 1 and 2 respectively If V V and E 4 E2 be the drift velocity and electric field at section 1 and 2 respectively then 1 1 I 2 V V 1 4 and E E 4 1 XV V 4 1 and E E 1 2 V V 2 1 and E E 1 4 V V 1 4 and E E 1 4

An open U tube contains mercury When 11 2cm of water is poured into one of the arms of the tube how high does the mercury rise in the other arm from its initial level Given Pw 1 g cc PHg 13 6 g cc Question Type Single Correct Type 1 0 56 cm 2 1 35 cm 3 0 41 cm 4 2 32 cm

The flow speeds of air on the lower and upper surfaces of the wing of an aeroplane are v and 3v respectively The density of air is p and surface area of wing is A The dynamic lift on the wing is Opv A O 3v A 2 A

A vessel containing water is given a constant acceleration a towards the right along a straight horizontal path Which of the following diagram represents the surface of the liquid INT C A Question Type Single Correct Type 1 A 2 B B D a

The flow speeds of air on the lower and upper surfaces of the wing of an aeroplane are v and 2 v respectively The density of air is p and surface area of wing is A The dynamic lift on the wing is Question Type Single Correct Type 1 pv A

Equal volume of wo immiscible liquids of densities p and 2p are filled in a vesse 3h figure Two small holes are punched at depth and from the surface of ligh 2 and v are the velocities of efflux at these two holes then Date C 05 01 2019 5939 A7552 Answer 3h 2 1 A 2p Ngh Ah Applying Bernoulli s theorem b w B and C 1 P pv 2p gah P 2p V 0 Lokasi P pgh 0 2pg 2pg 2 P 2 2p V 2pgh pV V1 is V

er e 7 32 The tank in figure 7 108 discharges water at constant rate for all water levels above the air inlet R Find the height above datum to which water would rise in the manometer tubes M and N M Ans 20 cm 60 cm 40 cm open to atmosphere Figure 7 108 Datum