Mechanical Properties Of Solids Mock Test

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Quiz: Mechanical Properties of Solids – Progressive Test
Total questions: 396
Questions in this round: 50
Time allotted: 70 minutes
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Quiz: Mechanical Properties of Solids – Certificate Challenge
Total questions: 396
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Mechanical Properties of Solids – Progressive Test

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1 / 50

1. A block of height , top-face area , and shear modulus is acted on by a tangential force of . The shearing strain, sideways displacement, and elastic energy stored are

a) , , and

b) , , and

c) , , and

d) , , and

2 / 50

2. A material-selection note says: “Choose material for a long wire with minimum extension, material for a pressure-resistant solid, and material for a block that must resist tangential distortion.” The best property set is

a) : large , : large , : large

b) : large , : large , : large

c) : large , : large , : large

d) : small , : small , : small

3 / 50

3. Match the practical requirement with the most relevant quantity.

Requirement	Relevant quantity
P. Limit stretching of a cable under load	1. Young’s modulus
Q. Limit volume change under pressure	2. Bulk modulus
R. Limit angular distortion under tangential force	3. Shear modulus
S. Limit ordinary working stress below failure stress	4. Factor of safety

The correct matching is

a) , , ,

b) , , ,

c) , , ,

d) , , ,

4 / 50

4. A rope of cross-sectional area is used to lift a load of . If its breaking stress is , the factor of safety during this lift is

5 / 50

5. Hooke’s law for an elastic solid is best expressed as

a) deformation is always permanent within the elastic limit

b) stress is proportional to strain within the elastic limit

c) strain is proportional to mass beyond the elastic limit

d) stress is independent of force within the elastic limit

6 / 50

6. A compact material report says: “Material has a high , low , and moderate .” The most reasonable reading is that

a) no tensile stress because is high

b) strong volume resistance, easy stretching, no shear resistance

c) certain brittleness because moduli are listed

d) stiff against length change, easier in volume change, moderate in shear

7 / 50

7. Assertion : A wire with larger cross-sectional area can have both smaller stress and smaller extension under the same load.
Reason : For a stretched wire, and .

a) Both and are true, but does not explain

b) is true, but is false

c) is false, but is true

d) Both and are true, and explains

8 / 50

8. A table compares three materials under the same pressure increase.

Material	Fractional volume decrease	Shearing strain under same shearing stress
P
Q
R

The material with largest bulk modulus and the material with largest shear modulus are respectively

a) and

b) and

c) and

d) and

9 / 50

9. A beam bends downward under a central load. The top surface is compressed, the bottom surface is stretched, and a neutral layer lies between them. This description shows that bending mainly involves

a) only uniform volume decrease

b) only hydraulic stress throughout the beam

c) tension and compression in layers

d) zero strain in every layer

10 / 50

10. In a comparison of three materials, has the largest , has the largest breaking stress, and has the largest area available for the same cable shape. For a cable that must both stretch little and avoid failure, the most complete design check is

a) choose only the largest , since area and breaking stress are irrelevant

b) choose only the largest breaking stress, since extension cannot matter

c) choose only the largest area, since material properties do not matter

d) check extension using , and strength using area and breaking stress

11 / 50

11. A metal rod of length , area , , and is heated by . It is held so that only of its free expansion is prevented. The thermal stress and force exerted by the supports are

a) and

b) and

c) and

d) and

12 / 50

12. A block is glued to a rigid table, and a horizontal force is applied to its top surface. A second identical block is not glued and simply slides when the same force is applied. The first setup is better for studying shear modulus because

a) a sliding block has hydraulic stress on every face

b) the lower face is fixed, so the block deforms in shape

c) whole-block sliding gives larger internal shearing strain

d) shear modulus requires rigid-body sliding

13 / 50

13. A rod fixed between two supports is cooled. The supports do not allow its natural contraction. If , , and the temperature fall is , the magnitude and nature of the thermal stress are

a) , tensile

b) , compressive

c) , compressive

d) , tensile

14 / 50

14. A wire obeying Hooke’s law is stretched by a load of , and its final extension is . The elastic potential energy stored in the wire is

15 / 50

15. A rod is heated while both ends are fixed, and the calculated thermal stress is larger than the elastic limit of the material. The most reasonable prediction is that

a) the rod may suffer permanent deformation or structural damage

b) the rod must remain perfectly elastic because heating is not a force

c) the stress must be zero because its length is unchanged

d) Young’s modulus becomes dimensionless

16 / 50

16. A wire is made longer without changing its material or cross-sectional area. In the ideal uniform-wire model, its breaking load is unchanged, but its extension under the same safe load increases. The best explanation is that

a) breaking load depends on area, while extension also depends on length

b) a longer wire has no working stress

c) both breaking load and extension are independent of length

d) breaking load depends only on length, while extension depends only on area

17 / 50

17. The following data refer to three cables made from the same material.

Cable	Breaking load	Working load
P
Q
R

Which cable has the smallest factor of safety?

c) All three have the same factor of safety

18 / 50

18. A load-extension graph for a rubber band during loading lies above the unloading curve for the same extension. For one complete cycle, the energy lost is represented by

a) the final extension divided by the original length

b) the maximum load alone

c) the slope of the loading curve at the origin only

d) the area between the loading and unloading curves

19 / 50

19. A uniform wire of length and area is stretched by . If , the stress, strain, and extension are respectively

a) , ,

b) , ,

c) , ,

d) , ,

20 / 50

20. Use the testing notes below.

Observation	Possible interpretation
P. Initial stress-strain graph is steep	1. Large elastic modulus
Q. Large area between loading and unloading curves	2. Greater energy loss per cycle
R. Large plastic strain before fracture	3. Ductile behaviour

The correct matching is

a) , ,

b) , ,

c) , ,

d) , ,

21 / 50

21. A wire of radius , length , and Young’s modulus is stretched by a force . A second wire of the same material is stretched by force , has length , and must have the same extension as the first wire. Its radius should be

22 / 50

22. A crane cable is required to lift a load . The cable material has breaking stress and the required factor of safety is . If the cable has circular cross-section, the minimum radius is

23 / 50

23. A cable design must satisfy both strength and extension limits. Which pair of checks is most appropriate?

a) Check strain against mass and calculate

b) Check allowable stress and calculate

c) Check breaking stress against temperature and ignore extension

d) Check load against volume and calculate

24 / 50

24. A steel wire of length and radius is used to lift a load of . The material has and breaking stress . Taking , the extension and factor of safety are closest to

a) and

b) and

c) and

d) and

25 / 50

25. The following table describes three practical situations.

Situation	Most relevant elastic idea
P. A crane cable must not exceed its safe working stress	1. Factor of safety
Q. A bridge beam must resist bending efficiently	2. Neutral layer and distribution of material
R. A railway track must allow expansion on hot days	3. Thermal stress due to constrained expansion

The correct matching is

a) , ,

b) , ,

c) , ,

d) , ,

26 / 50

26. A wire of length , area , and is stretched by a load of . The elastic energy stored is

27 / 50

27. The SI unit of shear modulus is

28 / 50

28. Poisson’s ratio describes the relation between

a) lateral strain and longitudinal strain

b) breaking load and working load only

c) pressure change and volume strain only

d) shearing stress and shearing strain only

29 / 50

29. A rubber band is stretched gently and then released. It almost returns to its original length. This behaviour is best described as

a) fracture

b) elasticity

c) plasticity

d) melting

30 / 50

30. A circular wire of radius and length is made of a material with and breaking stress . Taking , the maximum elastic energy that can be stored if the working stress is limited to one-fourth of the breaking stress is closest to

31 / 50

31. A final material-choice note says: “Choose the cable with largest , largest breaking stress, and adequate area.” This recommendation is physically sensible because it tries to obtain

a) a material where stress and strain have the same unit

b) large extension, low failure resistance, and high working stress

c) maximum compressibility and zero rigidity

d) small extension, high failure resistance, and low working stress

32 / 50

32. A rod of area , , and is heated by . Only of the free expansion is prevented. An external tensile force of is also applied. The resultant stress is

a) , tensile

b) , compressive

c) , tensile

d) , compressive

33 / 50

33. A material can be drawn into a wire and shows large plastic deformation before it finally breaks. This behaviour is characteristic of a

a) ductile material

b) brittle material

c) perfectly rigid material

d) material with zero stress

34 / 50

34. A wire has a straight load-extension graph with slope . Its length is and radius is . Taking , the Young’s modulus and the energy stored at extension are closest to

a) and

b) and

c) and

d) and

35 / 50

35. A metal specimen is stretched beyond the proportionality limit but is unloaded before the elastic limit is crossed. The most suitable observation is that it

a) may be non-linear but still recover

b) must keep a permanent set once proportionality ends

c) has zero restoring force after the graph curves

d) must break immediately after Hooke’s law fails

36 / 50

36. A lift cable must satisfy two conditions: the working stress must not exceed , and its extension under a load must remain small. If the load and cable length are fixed, increasing the cross-sectional area mainly

a) reduces working stress but increases extension

b) changes neither working stress nor extension

c) increases both working stress and extension

d) reduces both working stress and extension

37 / 50

37. A student compares two stress-strain graphs in their initial linear regions. Graph is steeper than graph . For the same small strain, graph must have

a) smaller stress than graph

b) zero stress because its slope is large

c) no elastic modulus

d) greater stress than graph

38 / 50

38. A block is acted on by a tangential force on its upper face while the lower face is fixed. The modulus associated with this kind of deformation is

a) bulk modulus

b) compressibility

c) shear modulus

d) Young’s modulus

39 / 50

39. The load-extension graph of a wire is straight only up to a certain load. Data taken after the graph bends should not be used in as though the slope were constant because

a) extension becomes equal to area

b) Hooke’s law proportionality may no longer hold

c) force loses its SI unit after bending of the graph

d) Young’s modulus becomes dimensionless

40 / 50

40. A solid has bulk modulus . Its compressibility is closest to

41 / 50

41. Use the arrangement described below.
Case 1: The top face of a block of height is shifted sideways by .
Case 2: The same material and area are used, but the block height is , under the same tangential force.
The sideways displacement in Case 2 is

42 / 50

42. A solid sphere of volume is taken to a region where pressure increases by . If , the decrease in volume is

43 / 50

43. A wire of diameter carries a load . Taking , the tensile stress is closest to

44 / 50

44. A wire is under tensile stress . Its , , and initial volume is . Using , the total elastic energy and approximate volume change are

a) and

b) and

c) and

d) and

45 / 50

45. A material sample is under tensile stress , and its elastic energy density is . If it is in the linear elastic region, Young’s modulus is

46 / 50

46. A cable of length , area , and Young’s modulus carries a load . Its extension is

47 / 50

47. The ratio of stress to strain for a material in its elastic region is called

a) permanent set

b) working stress

c) breaking stress

d) elastic modulus

48 / 50

48. A wire has a straight load-extension graph. At , its extension is . Its load-extension slope is

49 / 50

49. A tensile test gives the following data for a uniform wire: , , , and extension . Taking , Young’s modulus is closest to

50 / 50

50. A wire is stretched to a longitudinal strain of . Its Poisson’s ratio is . Using the small-strain estimate , the approximate volume strain is

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Mechanical Properties of Solids Mock Test – Class 11 Physics

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