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When a composite unit consisting of a steel rod surrounded by a cast iron tube is subjected to an axial load.
Assertion (A): The ratio of normal stresses induced in both the materials is equal to the ratio of Young's moduli of respective materials.
Reason (R): The composite unit of these two materials is firmly fastened together at the ends to ensure equal deformation in both the materials.
- a)Both A and R are individually true and R is the correct explanation of A
- b)Both A and R are individually true but R is not the correct explanation of A
- c)A is true but R is false
- d)A is false but R is true
Correct answer is option 'A'. Can you explain this answer?
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When a composite unit consisting of a steel rod surrounded by a cast i...
Assertion and Reasoning on Composite Unit under Axial Load
Assertion: The ratio of normal stresses induced in both the materials is equal to the ratio of Young's moduli of respective materials.
Reason: The composite unit of these two materials is firmly fastened together at the ends to ensure equal deformation in both the materials.
Explanation:
When a composite unit consisting of a steel rod surrounded by a cast iron tube is subjected to an axial load, it experiences stress in both the materials. The steel rod and cast iron tube differ in their material properties such as Young's modulus, Poisson's ratio, and yield strength.
Young's modulus is the measure of the stiffness of a material and is defined as the ratio of stress to strain. The higher the Young's modulus, the stiffer the material. When a composite unit is subjected to an axial load, the steel rod and cast iron tube experience different normal stresses due to their different Young's moduli.
The assertion states that the ratio of normal stresses induced in both the materials is equal to the ratio of Young's moduli of the respective materials. This assertion is true because the normal stress induced in a material is directly proportional to the Young's modulus of that material. Therefore, the ratio of normal stresses induced in the materials is equal to the ratio of their Young's moduli.
The reasoning states that the composite unit of these two materials are firmly fastened together at the ends to ensure equal deformation in both the materials. This reasoning is also true because the composite unit is designed to work as a single unit and the materials are firmly fastened together to ensure that they deform equally under load.
Therefore, both the assertion and reasoning are true, and the reasoning is the correct explanation of the assertion.
Assertion: The ratio of normal stresses induced in both the materials is equal to the ratio of Young's moduli of respective materials.
Reason: The composite unit of these two materials is firmly fastened together at the ends to ensure equal deformation in both the materials.
Explanation:
When a composite unit consisting of a steel rod surrounded by a cast iron tube is subjected to an axial load, it experiences stress in both the materials. The steel rod and cast iron tube differ in their material properties such as Young's modulus, Poisson's ratio, and yield strength.
Young's modulus is the measure of the stiffness of a material and is defined as the ratio of stress to strain. The higher the Young's modulus, the stiffer the material. When a composite unit is subjected to an axial load, the steel rod and cast iron tube experience different normal stresses due to their different Young's moduli.
The assertion states that the ratio of normal stresses induced in both the materials is equal to the ratio of Young's moduli of the respective materials. This assertion is true because the normal stress induced in a material is directly proportional to the Young's modulus of that material. Therefore, the ratio of normal stresses induced in the materials is equal to the ratio of their Young's moduli.
The reasoning states that the composite unit of these two materials are firmly fastened together at the ends to ensure equal deformation in both the materials. This reasoning is also true because the composite unit is designed to work as a single unit and the materials are firmly fastened together to ensure that they deform equally under load.
Therefore, both the assertion and reasoning are true, and the reasoning is the correct explanation of the assertion.
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When a composite unit consisting of a steel rod surrounded by a cast iron tube is subjected to an axial load.Assertion (A): The ratio of normal stresses induced in both the materials is equal to the ratio of Young's moduli of respective materials.Reason (R): The composite unit of these two materials is firmly fastened together at the ends to ensure equal deformation in both the materials.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?
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When a composite unit consisting of a steel rod surrounded by a cast iron tube is subjected to an axial load.Assertion (A): The ratio of normal stresses induced in both the materials is equal to the ratio of Young's moduli of respective materials.Reason (R): The composite unit of these two materials is firmly fastened together at the ends to ensure equal deformation in both the materials.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about When a composite unit consisting of a steel rod surrounded by a cast iron tube is subjected to an axial load.Assertion (A): The ratio of normal stresses induced in both the materials is equal to the ratio of Young's moduli of respective materials.Reason (R): The composite unit of these two materials is firmly fastened together at the ends to ensure equal deformation in both the materials.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When a composite unit consisting of a steel rod surrounded by a cast iron tube is subjected to an axial load.Assertion (A): The ratio of normal stresses induced in both the materials is equal to the ratio of Young's moduli of respective materials.Reason (R): The composite unit of these two materials is firmly fastened together at the ends to ensure equal deformation in both the materials.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?.
When a composite unit consisting of a steel rod surrounded by a cast iron tube is subjected to an axial load.Assertion (A): The ratio of normal stresses induced in both the materials is equal to the ratio of Young's moduli of respective materials.Reason (R): The composite unit of these two materials is firmly fastened together at the ends to ensure equal deformation in both the materials.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about When a composite unit consisting of a steel rod surrounded by a cast iron tube is subjected to an axial load.Assertion (A): The ratio of normal stresses induced in both the materials is equal to the ratio of Young's moduli of respective materials.Reason (R): The composite unit of these two materials is firmly fastened together at the ends to ensure equal deformation in both the materials.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When a composite unit consisting of a steel rod surrounded by a cast iron tube is subjected to an axial load.Assertion (A): The ratio of normal stresses induced in both the materials is equal to the ratio of Young's moduli of respective materials.Reason (R): The composite unit of these two materials is firmly fastened together at the ends to ensure equal deformation in both the materials.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?.
Solutions for When a composite unit consisting of a steel rod surrounded by a cast iron tube is subjected to an axial load.Assertion (A): The ratio of normal stresses induced in both the materials is equal to the ratio of Young's moduli of respective materials.Reason (R): The composite unit of these two materials is firmly fastened together at the ends to ensure equal deformation in both the materials.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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