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An iron bar of length l cm and cross section A cm2 is pulled by a force F dynes from the ends so as to produce an elongation l cm. Which of the following statements is correct?
- a)Elongation is directly proportional to area of cross-section A.
- b)Elongation is inversely proportional to length
- c)Elongation is inversely proportional to area of cross-section A.
- d)Elongation is directly proportional to Young’s modulus.
Correct answer is option 'C'. Can you explain this answer?
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An iron bar of length l cm and cross section A cm2 is pulled by a forc...
F =AYΔl/L
Δl = FL/AY
Δl = FL/AY
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An iron bar of length l cm and cross section A cm2 is pulled by a forc...
Elongation of an iron bar under the application of a force depends on various factors such as the length of the bar, the area of its cross-section, and the Young's modulus of the material. Let's analyze each statement to determine the correct option.
a) Elongation is directly proportional to the area of cross-section A:
This statement is incorrect because elongation is not directly proportional to the area of cross-section. The area of cross-section only affects the stress on the material, not the elongation itself.
b) Elongation is inversely proportional to the length:
This statement is incorrect because elongation is directly proportional to the length of the bar. When a force is applied to the ends of the bar, the elongation is directly proportional to the original length. This can be understood by considering a longer bar experiencing the same force as a shorter bar. The longer bar will have a greater elongation.
c) Elongation is inversely proportional to the area of cross-section A:
This statement is correct. Elongation is inversely proportional to the area of cross-section. When a force is applied to the ends of the bar, the elongation is inversely proportional to the area of cross-section. A larger cross-section area will result in less elongation compared to a smaller cross-section area for the same applied force.
d) Elongation is directly proportional to Young's modulus:
This statement is incorrect because elongation is not directly proportional to Young's modulus. Young's modulus is a measure of the stiffness of a material and indicates how much the material will deform under stress. Elongation is directly proportional to the applied force and inversely proportional to the area of cross-section, but it does not depend directly on Young's modulus.
Therefore, the correct statement is option 'c' - Elongation is inversely proportional to the area of cross-section A.
a) Elongation is directly proportional to the area of cross-section A:
This statement is incorrect because elongation is not directly proportional to the area of cross-section. The area of cross-section only affects the stress on the material, not the elongation itself.
b) Elongation is inversely proportional to the length:
This statement is incorrect because elongation is directly proportional to the length of the bar. When a force is applied to the ends of the bar, the elongation is directly proportional to the original length. This can be understood by considering a longer bar experiencing the same force as a shorter bar. The longer bar will have a greater elongation.
c) Elongation is inversely proportional to the area of cross-section A:
This statement is correct. Elongation is inversely proportional to the area of cross-section. When a force is applied to the ends of the bar, the elongation is inversely proportional to the area of cross-section. A larger cross-section area will result in less elongation compared to a smaller cross-section area for the same applied force.
d) Elongation is directly proportional to Young's modulus:
This statement is incorrect because elongation is not directly proportional to Young's modulus. Young's modulus is a measure of the stiffness of a material and indicates how much the material will deform under stress. Elongation is directly proportional to the applied force and inversely proportional to the area of cross-section, but it does not depend directly on Young's modulus.
Therefore, the correct statement is option 'c' - Elongation is inversely proportional to the area of cross-section A.
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An iron bar of length l cm and cross section A cm2 is pulled by a force F dynes from the ends so as to produce an elongation l cm. Which of the following statements is correct?a)Elongation is directly proportional to area of cross-section A.b)Elongation is inversely proportional to lengthc)Elongation is inversely proportional to area of cross-section A.d)Elongation is directly proportional to Young’s modulus.Correct answer is option 'C'. Can you explain this answer?
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An iron bar of length l cm and cross section A cm2 is pulled by a force F dynes from the ends so as to produce an elongation l cm. Which of the following statements is correct?a)Elongation is directly proportional to area of cross-section A.b)Elongation is inversely proportional to lengthc)Elongation is inversely proportional to area of cross-section A.d)Elongation is directly proportional to Young’s modulus.Correct answer is option 'C'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about An iron bar of length l cm and cross section A cm2 is pulled by a force F dynes from the ends so as to produce an elongation l cm. Which of the following statements is correct?a)Elongation is directly proportional to area of cross-section A.b)Elongation is inversely proportional to lengthc)Elongation is inversely proportional to area of cross-section A.d)Elongation is directly proportional to Young’s modulus.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An iron bar of length l cm and cross section A cm2 is pulled by a force F dynes from the ends so as to produce an elongation l cm. Which of the following statements is correct?a)Elongation is directly proportional to area of cross-section A.b)Elongation is inversely proportional to lengthc)Elongation is inversely proportional to area of cross-section A.d)Elongation is directly proportional to Young’s modulus.Correct answer is option 'C'. Can you explain this answer?.
An iron bar of length l cm and cross section A cm2 is pulled by a force F dynes from the ends so as to produce an elongation l cm. Which of the following statements is correct?a)Elongation is directly proportional to area of cross-section A.b)Elongation is inversely proportional to lengthc)Elongation is inversely proportional to area of cross-section A.d)Elongation is directly proportional to Young’s modulus.Correct answer is option 'C'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about An iron bar of length l cm and cross section A cm2 is pulled by a force F dynes from the ends so as to produce an elongation l cm. Which of the following statements is correct?a)Elongation is directly proportional to area of cross-section A.b)Elongation is inversely proportional to lengthc)Elongation is inversely proportional to area of cross-section A.d)Elongation is directly proportional to Young’s modulus.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An iron bar of length l cm and cross section A cm2 is pulled by a force F dynes from the ends so as to produce an elongation l cm. Which of the following statements is correct?a)Elongation is directly proportional to area of cross-section A.b)Elongation is inversely proportional to lengthc)Elongation is inversely proportional to area of cross-section A.d)Elongation is directly proportional to Young’s modulus.Correct answer is option 'C'. Can you explain this answer?.
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An iron bar of length l cm and cross section A cm2 is pulled by a force F dynes from the ends so as to produce an elongation l cm. Which of the following statements is correct?a)Elongation is directly proportional to area of cross-section A.b)Elongation is inversely proportional to lengthc)Elongation is inversely proportional to area of cross-section A.d)Elongation is directly proportional to Young’s modulus.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for An iron bar of length l cm and cross section A cm2 is pulled by a force F dynes from the ends so as to produce an elongation l cm. Which of the following statements is correct?a)Elongation is directly proportional to area of cross-section A.b)Elongation is inversely proportional to lengthc)Elongation is inversely proportional to area of cross-section A.d)Elongation is directly proportional to Young’s modulus.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of An iron bar of length l cm and cross section A cm2 is pulled by a force F dynes from the ends so as to produce an elongation l cm. Which of the following statements is correct?a)Elongation is directly proportional to area of cross-section A.b)Elongation is inversely proportional to lengthc)Elongation is inversely proportional to area of cross-section A.d)Elongation is directly proportional to Young’s modulus.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice An iron bar of length l cm and cross section A cm2 is pulled by a force F dynes from the ends so as to produce an elongation l cm. Which of the following statements is correct?a)Elongation is directly proportional to area of cross-section A.b)Elongation is inversely proportional to lengthc)Elongation is inversely proportional to area of cross-section A.d)Elongation is directly proportional to Young’s modulus.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 11 tests.
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