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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. In a liquid at rest, two points lie in the same horizontal level. If the liquid is connected and has uniform density, the pressures at the two points are

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2. In a simple description of surface tension, the free surface of a liquid behaves somewhat like

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3. Assertion: Two open vessels of different shapes filled with the same liquid to the same height have the same pressure at their bases if the base points are at the same depth.
Reason: Hydrostatic pressure due to a liquid at rest is given by .

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4. Two vessels contain water to the same height. Vessel P has base area , while vessel Q has base area . The gauge pressure at the base and the force on the base satisfy

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5. If the viscosity of the fluid is doubled while all other quantities in remain the same, the terminal velocity becomes

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6. A liquid flows through a pipe at . A student describes it as definitely smooth laminar flow because the number is positive. The better response is that

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7. 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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8. Assertion: Two streamlines in steady flow cannot intersect.
Reason: If two streamlines intersected, the fluid velocity at the intersection would have two different directions.

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9. A fluid layer of area has velocity gradient . If the coefficient of viscosity is , the tangential viscous force is

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10. Assertion: A gas is usually more compressible than a liquid.
Reason: Gas molecules are generally much farther apart than molecules in a liquid.

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11. A liquid surface has surface tension . The force acting along a line of length on the surface is

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12. 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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13. In applying to a liquid emerging from a tank, represents the

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14. Pressure is introduced in fluid mechanics as

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15. The SI unit of surface tension is

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16. 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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17. Consider the following statements about surface tension and surface energy.
Statement I: Surface tension may be treated as force per unit length.
Statement II: Surface tension may be treated as surface energy per unit area.
Statement III: Surface tension has the same unit as pressure.

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18. In the relation for a liquid at rest, represents

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19. A liquid jet leaves a small hole in a tank horizontally. The hole is at depth below the free surface and height above the ground. If the liquid level is lowered while the hole height above the ground remains unchanged, the horizontal range of the jet

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20. Consider the following statements about a simple mercury barometer.
Statement I: The mercury column height represents atmospheric pressure through .
Statement II: The height is measured vertically.
Statement III: For the same atmospheric pressure, a less dense barometer liquid would need a smaller height.

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21. A capillary tube is long enough for water to rise , but only of the tube is above the outside water level. The most suitable conclusion is that

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22. Use the arrangement described below.

A U-shaped tube contains the same liquid continuously in both arms and is at rest. Points P and Q are marked in the two arms at the same horizontal level below the liquid surfaces.

What can be said about the pressures at P and Q?

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23. An ideal fluid used in elementary Bernoulli and continuity discussions is usually taken to be

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24. A data set for a Newtonian fluid gives shear stress on the vertical axis and velocity gradient on the horizontal axis. If the straight-line slope is , the coefficient of viscosity is

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25. In the terminal velocity formula , a sphere will not fall downward through the fluid if

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26. Use the graph description below.

For a liquid surface at constant temperature, a graph is plotted with work done on the vertical axis and increase in surface area on the horizontal axis. The graph is a straight line through the origin.

The slope of the graph represents

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27. Pascal’s law states that when pressure is applied to an enclosed fluid, the pressure is transmitted

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28. A point inside an open liquid has gauge pressure . If the atmospheric pressure is ignored while finding absolute pressure, the result will be

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29. Use the case below and answer the question.

A small piston and a large piston are connected by an enclosed liquid. The small piston has area , and the large piston has area . A worker applies a force on the small piston and observes that the load on the large piston rises slowly.

For an ideal system, the load force on the large piston and its displacement compared with the small piston are

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30. A horizontal base and a vertical side wall are both in contact with the same liquid at rest. The main difference in calculating force is that

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31. A soap bubble has radius and surface tension . The excess pressure inside the bubble is

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32. Study the table and identify the row that uses Archimedes’ principle correctly.

Row Situation Buoyant-force idea
P Fully immersed body equals body volume.
Q Partly immersed body equals total body volume always.
R Same displaced volume in denser fluid Buoyant force becomes smaller.
S Sinking body Buoyant force is always zero.

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33. A short note says that in elementary fluid flow represents the volume of fluid crossing a section per unit time. Its SI unit should be

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34. The dimensional formula of coefficient of viscosity is

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35. A narrow pipe carries a liquid. When the flow speed is increased greatly, the motion changes from smooth layers to irregular motion with eddies. This change is from

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36. 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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37. A liquid rises to height in a capillary tube. If the same liquid rises to height in another tube of the same material, the radius of the second tube is

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38. 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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39. Two soap bubbles of the same liquid have radii and . They are connected by a narrow tube. Air tends to flow

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40. A stone weighs in air and when fully immersed in water. The buoyant force on the stone is

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41. In the capillary formula , a liquid rises in the tube when

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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. The angle of contact is the angle between the tangent to the liquid surface and the solid surface, measured

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44. A closed-end manometer has a near-vacuum above the liquid in the closed arm. If the pressure of a gas connected to the other arm supports a liquid column difference , the gas pressure is approximately

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45. A student checks the capillary formula . Which unit result should the right-hand side have?

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46. Use the arrangement described below.

A horizontal Venturi tube carries water steadily. Section P is wide, section Q is a narrow throat, and both sections are at the same height. Small vertical pressure tubes attached at P and Q show water levels.

The water level in the pressure tube at Q is expected to be

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47. 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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48. A pipe flow has Reynolds number . The same fluid in the same pipe is made to flow at three times the speed. The new Reynolds number and likely change are

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

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50. A small water drop and a large water drop are compared in air. The small drop is more nearly spherical mainly because

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