Mechanical Properties of Solids Mock Test – Class 11 Physics

1. The SI unit of shear modulus is

2. A tensile stress-strain curve for a ductile metal rises after yielding before reaching its maximum stress. This rise after yielding is most closely associated with

3. The following data refer to wires of the same material stretched within the elastic limit.

If the extension of is , the extensions of and are respectively

4. A solid block is sheared so that the shearing stress is and the shearing strain is . Its shear modulus is

5. A final review table contains four claims.
I. A straight stress-strain graph through the origin implies constant modulus in that range.
II. A larger area under a loading-unloading hysteresis loop means more energy loss per cycle.
III. A larger bulk modulus means a larger fractional volume change for the same pressure change.
IV. A larger factor of safety means the working stress is farther below breaking stress.
The correct set is

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

7. A wire has stress and strain at a certain point in the linear elastic region. Its volume is . If the stress is increased to without leaving the linear region, the new total elastic energy stored is

8. A solid cube of side is compressed uniformly by a pressure increase of . If , and the same material is isotropic with , then the volume decrease and shear modulus are

9. A stress-strain graph is linear from the origin up to a working point. At the working point, the stress is and the strain is . The elastic energy density is

10. A wire of length is stretched so that its length increases by . What is its longitudinal strain?

11. A cable must carry safely with factor of safety . If the material breaking stress is , the minimum area required is

12. Poisson’s ratio has no unit because it is

13. A wire is stretched, a solid sphere is compressed uniformly by pressure, and a block is pushed tangentially on its top face. The moduli most directly involved are respectively

14. The dimensional formula of compressibility is

15. An isotropic material has and . Using and , its Young’s modulus and Poisson’s ratio are closest to

16. A piece of clay is pressed into a new shape and it keeps that shape after the hand is removed. The behaviour shown by the clay is mainly

17. A stress-strain graph for an elastomer is non-linear, but after unloading from a large strain the sample nearly regains its original length. The property shown is best described as

18. A wire is stretched within its elastic limit. If the load on it is doubled while its length, area, and material remain unchanged, its extension becomes

19. A hollow cylindrical shaft and a solid shaft are made from the same material and have the same outer radius. In a qualitative design discussion, the hollow shaft is often preferred when saving material while resisting twisting is important because

20. A wire is under stress . Material has , while material has . If both wires have the same original length, the ratio of their strains is

21. A solid of initial volume is compressed uniformly and its volume decreases by . Taking decrease in volume as negative, the volumetric strain is

22. A wire used in is assumed to be uniform. If the wire is actually thinner at one section, the main reason the simple calculation can become unreliable is that

23. A wire is stretched by a load , and then a second wire of the same material is chosen with half the length and half the radius. Under the same load, the extension of the second wire compared with the first is

24. A wire carrying a suspended load is held at rest after a small extension. At that instant, the internal restoring force in the wire is best described as

25. A passage describes a cable test: the load is increased slowly, the extension is recorded, and the graph remains straight up to . At , the extension is . If the cable volume is , the elastic energy density at this point is

26. A shear stress-shear strain graph for a material is a straight line through the origin. At shearing strain , the shearing stress is . The slope of the graph is

27. A simply supported horizontal beam carries a load at its middle and bends downward. In the usual description of this bending, the upper layers of the beam are mainly

28. A beam cross-section is redesigned so that the same amount of material is moved farther from the neutral layer. Under the same bending condition, this design is preferred because

29. Bulk modulus describes a material’s resistance to

30. A cable of area carries a load of . Its breaking stress is . The factor of safety is

31. The table gives some basic quantities used while describing deformation of a solid.

Which matching is most appropriate for the symbols?

32. 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

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

34. 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

35. A student says that a material with high breaking stress must always have a high Young’s modulus. The best response is that

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

37. A steel rod with , , and elastic limit is completely prevented from expanding. The maximum temperature rise that keeps the thermal stress within the elastic limit is

38. A liquid is poured into a container and takes the shape of the container. This behaviour is consistent with the idea that a liquid, unlike a solid, cannot sustain

39. In a lab report, a wire of length and diameter is stretched by . A learner calculates stress using . The calculated stress will be

40. A stress-strain curve has point where strict proportionality ends, point where complete recovery is no longer possible after unloading beyond it, and point where large plastic flow begins. The best identification is

41. A steel wire obeys Hooke’s law up to a certain load. When the load is increased beyond that range, the relation between stress and strain no longer remains a simple straight-line proportionality. The most suitable conclusion is that

42. Assertion : A rubber band can return nearly to its original length after unloading even when its stress-strain curve is non-linear.
Reason : Elastic recovery and exact proportionality between stress and strain are the same condition.

43. A force of acts normally on an area of . The stress produced is

44. A wire has longitudinal strain when stretched. If Poisson’s ratio of the material is , the lateral strain is

45. Consider the following statements about strain.
I. Longitudinal strain compares change in length with original length.
II. Volumetric strain compares change in volume with original volume.
III. Shearing strain is related to angular distortion for small deformation.
IV. All strains have the SI unit .
The suitable set is

46. Glass breaks suddenly after only a small amount of deformation in a tensile test. The graph for such a material would most likely show

47. A body of volume is subjected to an increase in pressure of . If , the change in volume is

48. In a tensile test, a wire reaches a maximum stress of and finally fractures at a stress of . The value represents

49. A circular wire is stretched by a force . Its radius is measured too high, while is measured correctly. The calculated stress will be approximately

50. Two wires of equal length are fixed side by side between the same two supports and carry a total load of . Wire has , , while wire has , . The load carried by , load carried by , and common extension are