Following are the graphs of elastic materials. Which one corresponds to that of brittle material?
- ✓
- B
- C
- DNone of these
Answer: A.
View full solution →Question types
Mechanical Properties of Solids question types
304 questions across 8 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.
304
Questions
8
Question groups
5
Question types
01
M.C.Q (1 Marks)
65 Q→02Fill In The Blanks[1 Marks ]
12 Q→031 Marks Question
62 Q→042 Marks Questions
46 Q→053 Marks Question
48 Q→065 Marks Questions
63 Q→07Case study (4 Marks)
6 Q→08True False[1 Marks ]
2 Q→Sample Questions
Mechanical Properties of Solids questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Two wires $A$ and $B$ of the same material have radii in the ratio $2 : 1$ and lengths in the ratio $4 : 1$. The ratio of the normal forces required to produce the same change in the lengths of these two wires is:
- ✓$1 : 1$
- B$2 : 1$
- C$1 : 2$
- D$1 : 4$
Answer: A.
View full solution →Modulus of rigidity of ideal liquids is
- AInfinity.
- ✓Zero.
- CUnity.
- DSome finite small non $-$ zero constant value.
Answer: B.
View full solution →The load versus elongation graph for four wires of the same material is shown in the fig. The thinnest wire is represented by the line.
- A$OC$
- B$OD$
- ✓$OA$
- D$OB$
Answer: C.
View full solution →A mild steel wire of length $2L$ and cross $-$ sectional area $A$ isstretched, well within elastic limit, horizontally between two pillars. A mass $m$ is suspended from the mid point of the wire.Strain in the wire is 
- ✓$\frac{\text{x}^2}{2\text{L}^2}$
- B$\frac{\text{x}}{\text{L}}$
- C$\frac{\text{x}^2}{\text{L}}$
- D$\frac{\text{x}^2}{\text{2L}}$
Answer: A.
View full solution →Ratio of stress to the corresponding strain within the elastic limit is known as ______.
Maximum stress within which the body regain its original shape and configuration after the removal of deforming force is called _______.
To twist a solid shaft _______ torque is required than hollow shaft.
Dimensional formulae of Young's modulus of elasticity is ______.
Materials which have large plastic range of extension are called ______.
Read the following two statements below carefully and state, with reasons, if it is true or false. The stretching of a coil is determined by its shear modulus.
Read the following two statements below carefully and state, with reasons, if it is true or false. The Young’s modulus of rubber is greater than that of steel.
What is Bulk modulus for a perfectly rigid body?
Bridges are declared unsafe after long use. Why?
The stress-strain graph for material A and B are shown in the figure (drawn on same scale). Which of the two is stronger material? Justify your answer.
A steel cable with a radius of 1.5cm supports a chairlift at a ski area. If the maximum stress is not to exceed $108N m^{-2}$, what is the maximum load the cable can support?
View full solution →What is the Young’s modulus for a perfect rigid body?
To what depth must a rubber ball be taken in deep sea so that its volume is decreased by $0.1 \%$ ? (The Bulk modulus of rubber is $9.8 \times 10^8 \mathrm{~N} / \mathrm{m}^2$; and the density of seawater is $10^3 \mathrm{~kg} / \mathrm{m}^3$ ).
View full solution →A wire stretches by a certain amount under a load. If the load and radius both are increased to four times, find the stretch caused in the wire.
Define Poisson's ratio. Write an expression for it. What is the significance of negative sign in this expression?
A piece of copper having a rectangular cross-section of $15.2mm \times 19.1mm$ is pulled in tension with $44,500N$ force, producing only elastic deformation. Calculate the resulting strain?
View full solution →Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of $10$ atm.
View full solution →Determine the volume contraction of a solid copper cube, 10cm on an edge, when subjected to a hydraulic pressure of $7.0 \times 10^6$ Pa.
View full solution →Four identical hollow cylindrical columns of mild steel support a big structure of mass 50,000kg. The inner and outer radii of each column are 30 and 60cm respectively. Assuming the load distribution to be uniform, calculate the compressional strain of each column.
The stress-strain graphs for materials $A$ and $B$ are shown in Fig. 
The graphs are drawn to the same scale.
View full solution → The graphs are drawn to the same scale.
- Which of the materials has the greater Young’s modulus?
- Which of the two is the stronger material?
The Marina trench is located in the Pacific Ocean, and at one place it is nearly eleven km beneath the surface of water. The water pressure at the bottom of the trench is about $1.1 \times 10^8$ Pa. A steel ball of initial volume $0.32m^3$ is dropped into the ocean and falls to the bottom of the trench. What is the change in the volume of the ball when it reaches to the bottom?
View full solution →A $14.5kg$ mass, fastened to the end of a steel wire of unstretched length $1.0m$, is whirled in a vertical circle with an angular velocity of $2rev/s$ at the bottom of the circle. The cross-sectional area of the wire is $0.065cm^2$. Calculate the elongation of the wire when the mass is at the lowest point of its path.
View full solution →Compute the bulk modulus of water from the following data: Initial volume = $100.0$ litre, Pressure increase = 100.0 atm ($1\ atm = 1.013 × 105 Pa$), Final volume = $100.5$ litre. Compare the bulk modulus of water with that of air (at constant temperature). Explain in simple terms why the ratio is so large.
View full solution →The edge of an aluminium cube is $10cm$ long. One face of the cube is firmly fixed to a vertical wall. A mass of $100kg$ is then attached to the opposite face of the cube. The shear modulus of aluminium is $25G$ Pa. What is the vertical deflection of this face?
View full solution →A mild steel wire of length $1.0m$ and cross-sectional area $0.50 \times 10^{-2}cm^2$ is stretched, well within its elastic limit, horizontally between two pillars. A mass of $100g$ is suspended from the mid-point of the wire. Calculate the depression at the midpoint.
View full solution →Read the passage given below and answer the following questions from 1 to 5. The property of a body, by virtue of which it tends to regain its original size and shape when the applied force is removed, is known as elasticity and the deformation caused is known as elastic deformation. However, if you apply force to a lump of putty or mud, they have no gross tendency to regain their previous shape, and they get permanently deformed. Such substances are called plastic and this property is called plasticity. Putty and mud are close to ideal plastics. We know that in a solid, each atom or molecule is surrounded by neighboring atoms or molecules. These are bonded together by interatomic or intermolecular forces and stay in a stable equilibrium position. When a solid is deformed, the atoms or molecules are displaced from their equilibrium positions causing a change in the interatomic (or intermolecular) distances. When the deforming force is removed, the interatomic forces tend to drive them back to their original positions. Thus the body regains its original shape and size. Answer the following
- Putty and mud are example of:
- Ideal plastic
- Ideal elastic
- Pseudo plastic
- None of these
- The property of a body, by virtue of which it tends to regain its original size and shape when the applied force is removed, is known as:
- Elasticity
- Plasticity
- Both
- None of these
- Define elasticity.
- Define plasticity.
- Explain elastic behavior of solid.
Read the passage given below and answer the following questions from 1 to 5. Stress-Strain Curve The graph shown below shows qualitatively the relation between the stress and the strain as the deformation gradually increases. Within Hooke’s limit for a certain region stress and strain relation is linear. Beyond that up to a certain value of strain the body is still elastic and if deforming forces are removed the body recovers its original shape. 
- If deforming forces are removed up to which point the curve will be retraced?
- Upto OA only
- Upto OB
- Upto C
- Never retraced its path
- In the above question, during loading and unloading the force exerted by the material are conservative up to:
- OA only
- OB only
- OC only
- OD only
- During unloading beyond B, say C, the length at zero stress in now equal to:
- Less than original length
- Greater than original length
- Original length
- Can’t be predicted
- The breaking stress for a wire of unit cross - section is called:
- Yield point
- Elastic fatigue
- Tensile strength
- Young’s modulus
- Substances which can be stretched to cause large strains are called:
- Isomers
- Plastomers
- Elastomers
- Polymers
Read the passage given below and answer the following questions from 1 to 5. The proportional region within the elastic limit of the stress-strain curve is of great importance for structural and manufacturing engineering designs. The ratio of stress and strain, called modulus of elasticity, is found to be a characteristic of the material. Experimental observation show that for a given material, the magnitude of the strain produced is same whether the stress is tensile or compressive. The ratio of tensile (or compressive) stress $(\sigma)$ to the longitudinal strain $(\in)$ is defined as Young’s modulus and is denoted by the symbol Y. $\text{Y}=\frac{\sigma}{\in}$ Since strain is a dimensionless quantity, the unit of Young’s modulus is the same as that of stress i.e., $N-m^{-2}$ or Pascal (Pa). As steel has more modulus of elasticity than copper brass and aluminum hence steel is preferred in heavy-duty machines and in structural designs. Wood, bone, concrete and glass have rather small Young’s moduli. Answer the following.
View full solution →- If stress strain changes then young’s modulus is:
- Also changes.
- Remains constant.
- Either changes or remains constant depends on amount of stress and strain.
- None of these.
- SI unit of young’s modulus is:
- $N-m^{-2}$
- Pascal (Pa).
- $N-m^{-2}$ or Pascal (Pa).
- None of these
- Which of the following is more elastic
- Aluminum
- Steel
- Wood
- Glass
- Defines young’s modulus. Give its SI unit and dimensions.
- Why steel is more preferred in heavy industries than copper and brass?
Read the passage given below and answer the following questions from 1 to 5. For small deformations within elastic limit the stress and strain are proportional to each other. This is known as Hooke’s law. Thus, stress α strain Stress = k × strain Where k is the proportionality constant and is known as modulus of elasticity. Hooke’s law is an empirical law and is found to be valid for most materials. However, there are some materials which do not exhibit this linear relationship.
In the region from A to B, stress and strain are not proportional. Nevertheless, the body still returns to its original dimension when the load is removed. The point B in the curve is known as yield point (also known as elastic limit) and the corresponding stress is known as yield strength $(\sigma _y)$ of the material. If the load is increased further, the stress developed exceeds the yield strength and strain increases rapidly even for a small change in the stress. The portion of the curve between B and D shows this. When the load is removed, say at some point C between B and D, the body does not regain its original dimension. In this case, even when the stress is zero, the strain is not zero. The material is said to have a permanent set. The deformation is said to be plastic deformation. The point D on the graph is the ultimate tensile strength $(\sigma _u)$ of the material. Beyond this point, additional strain is produced even by a reduced applied force and fracture occurs at point E. If the ultimate strength and fracture points D and E are close, the material is said to be brittle. If they are far apart, the material is said to be ductile.
View full solution →In the region from A to B, stress and strain are not proportional. Nevertheless, the body still returns to its original dimension when the load is removed. The point B in the curve is known as yield point (also known as elastic limit) and the corresponding stress is known as yield strength $(\sigma _y)$ of the material. If the load is increased further, the stress developed exceeds the yield strength and strain increases rapidly even for a small change in the stress. The portion of the curve between B and D shows this. When the load is removed, say at some point C between B and D, the body does not regain its original dimension. In this case, even when the stress is zero, the strain is not zero. The material is said to have a permanent set. The deformation is said to be plastic deformation. The point D on the graph is the ultimate tensile strength $(\sigma _u)$ of the material. Beyond this point, additional strain is produced even by a reduced applied force and fracture occurs at point E. If the ultimate strength and fracture points D and E are close, the material is said to be brittle. If they are far apart, the material is said to be ductile.
- Stress is directly proportional to strain this is valid:
- Above elastic limit
- Within elastic limit
- Above plastic limit
- None of these
- SI unit of modulus of elasticity is:
- $N/m^2$
- N
- No unit
- None of these
- Define modulus of elasticity.
- State hooks law.
- Write note on stress strain curve for ductile material.
Read the passage given below and answer the following questions from 1 to 5. According to Hooke’s law, within the elastic limit, the stress applied to a body is directly proportional to the corresponding strain. $\text{Stress}\propto\text{Strain}$ or Stress = E × Strain or $\frac{\text{Stress }}{\text{Strain}}=\text{E}$ Where E is the constant of proportionality and is known as coefficient of elasticity or modulus of elasticity. Hooke’s law is an empirical law and is found to be valid for most materials. However, there are some materials which do not exhibit this linear relationship.
View full solution →- According to Hooke’s law of elasticity, if stress is increased, the ratio of stress to strain:
- Decreases
- Increases
- Becomes zero
- Remains constant
- Within elastic limit, which of the following graphs correctly represents the variation of extension in the length of a wire with the external load?
- According to Hooke’s law, ifstressis reduced to one-third, the ratio of stress to strain:
- Is increased to three time
- Is decreased
- Is zero
- Remains constant.
- Hooke’s law defines:
- Stress
- Strain
- Modulus of elasticity
- Elastic limit.
- Whenever a material is loaded with elasitic limits, stress is ......... strain.
- Equal to
- Directly proportional to
- Inxessely propotional to
- None of the above given remains constant.
Read the following two statements below carefully and state, with reasons, if it is true or false. The stretching of a coil is determined by its shear modulus.
Read the following two statements below carefully and state, with reasons, if it is true or false. The Young’s modulus of rubber is greater than that of steel.
Generate a Mechanical Properties of Solids paper free
Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.