Elasticity: The atoms in solids are held together by interatomic forces.The average locations of the atoms in a lattice do not change with time.Since the atoms are almost lacking in mobility, their kinetic energy is negligibly small. It is this lack of mobility which makes a solid rigid. This rigidity is the cause of elasticity in solids. In some solids such as steel, the atoms are bound together by larger inter-atomic forces than in solids such as aluminum. Thus, the elastic behavior varies from solid to solid. Even fluids exhibit elasticity. All material bodies get deformed when subjected to a suitable force. The ability of a body to regain its original shape and size is called elasticity. The deforming force per unit area is called stress. The change in the dimension (length, shape or volume) divided by the original dimension is called strain. The three kinds of stress are tensile stress, shearing stress, and volumetric stress. The corresponding strains are called tensile strain, shearing strain and volume strain. According to Hooke's law, within the elastic limit, stress is proportional to strain. The ratio stress/strain is called the modulus of elasticity.
The figure shows the strain-stress graphs for materials A and B. From the graph it follows that:
Elasticity: The atoms in solids are held together by interatomic forces.The average locations of the atoms in a lattice do not change with time.Since the atoms are almost lacking in mobility, their kinetic energy is negligibly small. It is this lack of mobility which makes a solid rigid. This rigidity is the cause of elasticity in solids. In some solids such as steel, the atoms are bound together by larger inter-atomic forces than in solids such as aluminum. Thus, the elastic behavior varies from solid to solid. Even fluids exhibit elasticity. All material bodies get deformed when subjected to a suitable force. The ability of a body to regain its original shape and size is called elasticity. The deforming force per unit area is called stress. The change in the dimension (length, shape or volume) divided by the original dimension is called strain. The three kinds of stress are tensile stress, shearing stress, and volumetric stress. The corresponding strains are called tensile strain, shearing strain and volume strain. According to Hooke's law, within the elastic limit, stress is proportional to strain. The ratio stress/strain is called the modulus of elasticity.
The figure shows the strain-stress graphs for materials A and B. From the graph it follows that:
The correct options are
B for a given strain, material B can withstand greater stress than A
C material B has a higher Young's modulus than A
Slope =StrainStress=1Y
∴SA>SB⇒YB>YA
Metal B has higher Young's modulus and thus, for a given strain, B can withstand greater stress than A.
B for a given strain, material B can withstand greater stress than A
C material B has a higher Young's modulus than A
Slope =StrainStress=1Y
∴SA>SB⇒YB>YA
Metal B has higher Young's modulus and thus, for a given strain, B can withstand greater stress than A.
