Mechanical Properties of Solids

Topics in this chapter

• Longitudinal Elasticity
• Bulk and Volume Elasticity
• Elastic Constants and Poisson's Ratio
• Elastic Energy and Work
• Stress-Strain Curves and Strength
• Thermal Stress and Expansion

Cheat sheet

Practice questions

1. Question 1Q-F035E9

   A wire of length $L$ and radius $r$ is rigidly fixed at one end. When a stretching force $F$ is applied at the free end, the extension produced in the wire is $l$. If another wire of the same material, length $2L$ and radius $2r$ is stretched with a force $2F$, the extension produced will be:

   1. A.$l$
   2. B.$2l$
   3. C.$l/2$
   4. D.$4l$
   See the answer and solution
2. Question 2Q-0CBF3C

   The breaking stress of a material is $10^8 \text{ N/m}^2$. Find the maximum length of a wire of this material which can be suspended vertically without breaking. (Density of the material $\rho = 2 \times 10^3 \text{ kg/m}^3$, $g = 10 \text{ m/s}^2$)

   1. A.$5 \times 10^3 \text{ m}$
   2. B.$10^4 \text{ m}$
   3. C.$2 \times 10^3 \text{ m}$
   4. D.$5 \times 10^4 \text{ m}$
   See the answer and solution
3. Question 3Q-7B0A04

   Which of the following quantities has the same dimensional formula as that of modulus of rigidity?

   1. A.Stress
   2. B.Strain
   3. C.Surface Tension
   4. D.Force
   See the answer and solution
4. Question 4Q-3E8B0A

   When a metal wire is stretched by a load, the work done in stretching the wire is stored in it as:

   1. A.Kinetic energy
   2. B.Elastic potential energy
   3. C.Thermal energy
   4. D.Chemical energy
   See the answer and solution
5. Question 5Q-5F17C6

   If the Poisson's ratio of a material is $0.5$, then the material is:

   1. A.Compressible
   2. B.Incompressible
   3. C.Highly brittle
   4. D.Plastic
   See the answer and solution