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Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are with in the proportional limit of the respective materials. Which of the following observations is correct?
- a)Both rods elongate by the same amount
- b)Mild steel rod elongates more than the cast iron rod
- c)Cast iron rod elongates more than the mild steel rod
- d)As the stresses are equal, strains are also equal in both the rods
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two identical circular rods of same diameter and same length are subje...
Given,
We know that,
Here, P, L and A is same for both the bars
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We know that,
Here, P, L and A is same for both the bars
∴
= 0.485 < 1
Most Upvoted Answer
Two identical circular rods of same diameter and same length are subje...
Explanation:
When a material is subjected to an axial tensile force, it experiences a uniform stress, which in turn causes the material to elongate. The elongation of a material is directly proportional to the applied stress and inversely proportional to the modulus of elasticity.
In this scenario, both rods are subjected to the same magnitude of axial tensile force, which means the stress developed in both rods is the same. However, the modulus of elasticity of mild steel is higher than that of cast iron.
Explanation of Options:
(a) Both rods elongate by the same amount:
This option is incorrect because the elongation of a material is inversely proportional to its modulus of elasticity. Since the modulus of elasticity of mild steel is higher than that of cast iron, the mild steel rod will elongate less than the cast iron rod.
(b) Mild steel rod elongates more than the cast iron rod:
This option is also incorrect. The modulus of elasticity of mild steel is higher than that of cast iron, which means mild steel has a higher resistance to deformation. Therefore, the mild steel rod will elongate less than the cast iron rod.
(c) Cast iron rod elongates more than the mild steel rod:
This option is correct. Since the modulus of elasticity of cast iron is lower than that of mild steel, cast iron has a lower resistance to deformation. Therefore, the cast iron rod will elongate more than the mild steel rod when subjected to the same magnitude of axial tensile force.
(d) As the stresses are equal, strains are also equal in both the rods:
This option is incorrect. The strains developed in the rods are directly proportional to the applied stress and inversely proportional to the modulus of elasticity. Since the modulus of elasticity of mild steel is higher than that of cast iron, the strains developed in the mild steel rod will be less than the strains developed in the cast iron rod. Therefore, the strains are not equal in both rods.
Conclusion:
The correct observation is that the cast iron rod elongates more than the mild steel rod when subjected to the same magnitude of axial tensile force.
When a material is subjected to an axial tensile force, it experiences a uniform stress, which in turn causes the material to elongate. The elongation of a material is directly proportional to the applied stress and inversely proportional to the modulus of elasticity.
In this scenario, both rods are subjected to the same magnitude of axial tensile force, which means the stress developed in both rods is the same. However, the modulus of elasticity of mild steel is higher than that of cast iron.
Explanation of Options:
(a) Both rods elongate by the same amount:
This option is incorrect because the elongation of a material is inversely proportional to its modulus of elasticity. Since the modulus of elasticity of mild steel is higher than that of cast iron, the mild steel rod will elongate less than the cast iron rod.
(b) Mild steel rod elongates more than the cast iron rod:
This option is also incorrect. The modulus of elasticity of mild steel is higher than that of cast iron, which means mild steel has a higher resistance to deformation. Therefore, the mild steel rod will elongate less than the cast iron rod.
(c) Cast iron rod elongates more than the mild steel rod:
This option is correct. Since the modulus of elasticity of cast iron is lower than that of mild steel, cast iron has a lower resistance to deformation. Therefore, the cast iron rod will elongate more than the mild steel rod when subjected to the same magnitude of axial tensile force.
(d) As the stresses are equal, strains are also equal in both the rods:
This option is incorrect. The strains developed in the rods are directly proportional to the applied stress and inversely proportional to the modulus of elasticity. Since the modulus of elasticity of mild steel is higher than that of cast iron, the strains developed in the mild steel rod will be less than the strains developed in the cast iron rod. Therefore, the strains are not equal in both rods.
Conclusion:
The correct observation is that the cast iron rod elongates more than the mild steel rod when subjected to the same magnitude of axial tensile force.
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Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are with in the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal, strains are also equal in both the rodsCorrect answer is option 'C'. Can you explain this answer?
Question Description
Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are with in the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal, strains are also equal in both the rodsCorrect answer is option 'C'. 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 Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are with in the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal, strains are also equal in both the rodsCorrect answer is option 'C'. 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 Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are with in the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal, strains are also equal in both the rodsCorrect answer is option 'C'. Can you explain this answer?.
Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are with in the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal, strains are also equal in both the rodsCorrect answer is option 'C'. 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 Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are with in the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal, strains are also equal in both the rodsCorrect answer is option 'C'. 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 Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are with in the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal, strains are also equal in both the rodsCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are with in the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal, strains are also equal in both the rodsCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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Here you can find the meaning of Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are with in the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal, strains are also equal in both the rodsCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are with in the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal, strains are also equal in both the rodsCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are with in the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal, strains are also equal in both the rodsCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are with in the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal, strains are also equal in both the rodsCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are with in the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal, strains are also equal in both the rodsCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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