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Mechanical Properties of Fluids Mock Test – Class 11 Physics

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Mechanical Properties of Fluids – Progressive Test

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1. A block is suspended from a string and fully immersed in a liquid. If the block is at rest, the tension in the string is

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2. Study the table and identify the correct graph interpretation.

Row Graph Slope or meaning
P versus for a static liquid
Q versus
R versus Positive slope
S versus Always independent of liquid density

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3. A student uses for a water droplet in air. The main error is that this formula is for

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4. A liquid is at rest in a container. Point P is below the free surface, while point Q is below the free surface. The pressure difference is

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5. A glass capillary is dipped in mercury. The meniscus is expected to be

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6. A capillary-rise graph of against is drawn for the same liquid and same tube material. If detergent is added and the graph is redrawn under nearly the same conditions, the slope is expected to

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7. In a hydraulic lift, a pressure of acts on a large piston of area . The load supported by this piston is

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8. A body is fully immersed in a liquid and neither rises nor sinks. This condition is called neutral equilibrium, and it occurs when

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9. Consider the following statements about the hydrostatic paradox.
Statement I: Same liquid height can give the same base pressure in vessels of different shapes.
Statement II: The total force on a horizontal base depends on the base area.
Statement III: Base pressure is decided by the total volume of liquid in the vessel.

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10. Assertion: Surface tension has the same dimensional formula as surface energy per unit area.
Reason: Surface tension can also be interpreted as work required to increase unit surface area.

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11. A claim says, “A sinking object has no buoyant force acting on it.” The best correction is that a sinking object

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12. A graph is plotted with buoyant force on the vertical axis and displaced volume on the horizontal axis for a fixed liquid. The graph is a straight line through the origin. Its slope is

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13. A soap bubble is formed from a liquid of surface tension . If its radius is , the work needed to form the bubble from an initially negligible film area is

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14. Adding detergent to water used in a capillary tube usually lowers the capillary rise because detergent

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15. A vertical rectangular plate of width is fully submerged with its top edge at the free surface and its bottom edge at depth . In water with and , the average gauge pressure and total force on the plate are

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16. A formula is proposed for capillary rise as , with no tube radius. A dimensional check shows that the right-hand side has unit

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17. Study the table and choose the row that contains an incorrect statement.

Row Statement
P Density is given by .
Q The SI unit of density is .
R Relative density is dimensionless.
S A gas and a liquid must have the same density if they occupy the same volume.

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18. A pressure gauge reads zero when exposed to open air. This happens because the gauge

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19. Study the table and identify the correct Poiseuille-law dependence.

Row Change made Effect on , other quantities fixed
P doubled becomes .
Q doubled becomes .
R doubled becomes .
S doubled becomes .

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20. In a fluid at rest, a small imaginary surface is placed at a point first horizontally and then vertically. The pressure value at that point is

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21. A liquid surface in a vessel at rest is normally horizontal because otherwise

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22. A pipe of area carries water at speed . The pipe narrows to area . For steady incompressible flow, the speed in the narrow section is

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23. A floating object has of its volume submerged in a liquid. If the liquid density is , the average density of the object is

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24. A rectangular block of height and horizontal area is fully immersed in water. The top face is at depth . Take and . The net upward force due to pressure on the top and bottom faces is

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25. For Bernoulli’s equation to be applied in its usual form along a streamline, the flow should be

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26. A rectangular vertical gate is wide and holds water to a depth of . Take and . The force on the gate due to gauge pressure is

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27. A solid of density and volume is fully immersed in water of density . Taking , the net force on it just after release is

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28. Consider the following statements about angle of contact and meniscus.
Statement I: A wetting liquid generally has an acute angle of contact.
Statement II: A non-wetting liquid generally has an obtuse angle of contact.
Statement III: A convex meniscus is typical for mercury in clean glass.

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29. In the capillary-rise formula , the contact angle is used in radians for calculation. Which statement gives the correct dimensional interpretation?

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30. A small insect can stand on the surface of clean water mainly because the water surface

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31. A student compares four formula uses in mechanical properties of fluids.

Row Situation Formula choice
P Mass conservation in compressible steady flow
Q Force on a soap-film slider
R Equal-radius liquid drop and soap bubble Soap bubble has twice the excess pressure of the drop.
S Terminal velocity under Stokes’ law Use when other factors are fixed.

Which row contains the unsuitable formula use?

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32. A small liquid drop has greater excess pressure than a large drop of the same liquid because the smaller drop has

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33. A liquid and a gas are compared in ordinary conditions. The better comparison is that

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34. Assertion: In an ideal hydraulic press, the pressure at the small piston and the large piston can be the same.
Reason: Pressure applied to an enclosed incompressible fluid is transmitted undiminished in all directions.

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35. A Venturi tube has a wide section and a narrow throat. In steady incompressible ideal flow through it, the pressure at the throat is lower mainly because

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36. A diver moves from depth to depth in water. Take and . The increase in gauge pressure is

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37. For many gases, increasing temperature generally makes viscosity

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38. Use the arrangement described below.

A cubical block is fully immersed in water and kept at rest. Its top and bottom faces are horizontal, while its left and right faces are vertical. The block is not touching the container walls.

Which pressure-force comparison gives the origin of the net buoyant force?

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39. Capillary action occurs when a liquid rises or falls in a narrow tube due to the combined effect of

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40. A formula-selection table is prepared for common fluid-mechanics situations.

Row Situation Most suitable relation
P Pressure at depth in a static liquid
Q Faster flow in a horizontal ideal pipe
R Capillary rise in a narrow tube
S Buoyant force on a body

Which row is incorrectly matched?

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41. A Pitot tube is used to estimate the speed of a liquid. If the pressure difference between stagnation point and free stream is , the speed of an ideal incompressible liquid of density is

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42. Assertion: Water generally rises near the wall of a clean glass capillary.
Reason: Water wets glass and has an acute angle of contact with it.

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43. A dam wall is made thicker near its base mainly because

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44. Study the table and identify the row that is correctly matched.

Row Curved surface Excess pressure
P Liquid drop
Q Soap bubble
R Liquid drop
S Soap bubble

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45. A solid weighs in air and when fully immersed in water. If the density of water is and , the volume of the solid is

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46. Consider the following statements about hydrostatic pressure.
Statement I: The pressure contribution due to a liquid column increases with liquid density.
Statement II: The pressure contribution due to a liquid column increases with vertical depth.
Statement III: For , is measured from the bottom of the container upward.

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47. An open tank contains oil of density to a depth of . If and atmospheric pressure is , the absolute pressure at the bottom is

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48. Study the table and identify the row that gives the best surface-tension explanation.

Row Observation Explanation
P Small insects stand on water. Surface tension helps support them.
Q Detergent added to water. Surface tension always becomes infinite.
R Small drops become spherical. Surface area is maximized for fixed volume.
S Needle floats carefully on water. Water density becomes zero.

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49. Use the graph description below.

For a vertical wall in contact with a liquid at rest, pressure is plotted against depth measured downward from the free surface. The graph is a straight line starting from when gauge pressure is used.

The area under this -versus- graph from to , multiplied by the wall width, represents

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50. A small sphere falls through a viscous liquid. At a certain instant before terminal velocity, its speed is increasing. Which force comparison is correct?

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