Mechanical Engineering Exam > Mechanical Engineering Questions > Consider the following statements.(P) Hardne...
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Consider the following statements.
(P) Hardness is the resistance of a material to indentation.
(Q) Elastic modulus is a measure of ductility.
(R) Deflection depends on stiffness.
(S) The total area under the stress-strain curve is a measure of resilience.
Among the above statements, the correct ones are
- a)P and Q only
- b)Q and S only
- c)P and R only
- d)R and S only
Correct answer is option 'C'. Can you explain this answer?
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Consider the following statements.(P) Hardness is the resistance of a...
Percentage elongation is a measure of ductility. The total area under the stress-strain curve is a measure of modulus of toughness.
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Consider the following statements.(P) Hardness is the resistance of a...
Mechanical Properties of Materials
Mechanical properties of materials refer to the physical properties that determine how materials respond to external forces. Some of the important mechanical properties of materials are hardness, elastic modulus, deflection, and resilience.
Hardness
Hardness is the ability of a material to resist permanent deformation when subjected to indentation or scratching. It is an important property for materials used in applications where wear and tear is a concern.
Statement (P) is correct as hardness is indeed the resistance of a material to indentation.
Elastic Modulus
Elastic modulus is a measure of a material's stiffness or resistance to deformation. It is a measure of how much a material will deform under stress.
Statement (Q) is incorrect as elastic modulus is a measure of stiffness and not ductility.
Deflection
Deflection is the degree to which a material bends or deforms when subjected to external forces. It is an important property for materials used in applications where flexibility is a concern.
Statement (R) is correct as deflection depends on stiffness.
Resilience
Resilience is a measure of a material's ability to absorb energy when subjected to stress and then return to its original shape when the stress is removed. It is an important property for materials used in applications where impact resistance is a concern.
Statement (S) is incorrect as the total area under the stress-strain curve is a measure of toughness, not resilience.
Conclusion
Hence, the correct statements among the given options are P and R only, and the correct option is C.
Mechanical properties of materials refer to the physical properties that determine how materials respond to external forces. Some of the important mechanical properties of materials are hardness, elastic modulus, deflection, and resilience.
Hardness
Hardness is the ability of a material to resist permanent deformation when subjected to indentation or scratching. It is an important property for materials used in applications where wear and tear is a concern.
Statement (P) is correct as hardness is indeed the resistance of a material to indentation.
Elastic Modulus
Elastic modulus is a measure of a material's stiffness or resistance to deformation. It is a measure of how much a material will deform under stress.
Statement (Q) is incorrect as elastic modulus is a measure of stiffness and not ductility.
Deflection
Deflection is the degree to which a material bends or deforms when subjected to external forces. It is an important property for materials used in applications where flexibility is a concern.
Statement (R) is correct as deflection depends on stiffness.
Resilience
Resilience is a measure of a material's ability to absorb energy when subjected to stress and then return to its original shape when the stress is removed. It is an important property for materials used in applications where impact resistance is a concern.
Statement (S) is incorrect as the total area under the stress-strain curve is a measure of toughness, not resilience.
Conclusion
Hence, the correct statements among the given options are P and R only, and the correct option is C.
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Consider the following statements.(P) Hardness is the resistance of a material to indentation.(Q) Elastic modulus is a measure of ductility.(R) Deflection depends on stiffness.(S) The total area under the stress-strain curve is a measure of resilience.Among the above statements, the correct ones area) P and Q onlyb) Q and S onlyc) P and R onlyd) R and S onlyCorrect answer is option 'C'. Can you explain this answer?
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