NEET Exam > NEET Questions > A metallic wire is suspended by attaching som...
Start Learning for Free
A metallic wire is suspended by attaching some weight to it. If α is the longitudinal strain and Y is Young's modulus, then the ratio between elastic potential energy and the energy density is equal to
- a)strain in the wire
- b)stress in the wire
- c)volume of the wire
- d)Young's modulus of the wire
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A metallic wire is suspended by attaching some weight to it. If α is t...
Explanation:
When a weight is attached to a metallic wire, it undergoes a longitudinal strain, which is given by:
α = (change in length/original length)
The elastic potential energy stored in the wire is given by:
U = 1/2 * Y * A * α^2
where Y is Young's modulus of the wire, A is the cross-sectional area of the wire, and α is the longitudinal strain.
The energy density of the wire is given by:
ρ = U/V
where V is the volume of the wire.
Therefore, the ratio of elastic potential energy to energy density is given by:
U/ρ = (1/2 * Y * A * α^2)/V
= (1/2 * Y * α^2) * (A/V)
But A/V is the cross-sectional area of the wire, which is constant for a given wire.
Therefore, U/ρ is proportional to α^2.
Thus, the correct option is (C) volume of the wire.
When a weight is attached to a metallic wire, it undergoes a longitudinal strain, which is given by:
α = (change in length/original length)
The elastic potential energy stored in the wire is given by:
U = 1/2 * Y * A * α^2
where Y is Young's modulus of the wire, A is the cross-sectional area of the wire, and α is the longitudinal strain.
The energy density of the wire is given by:
ρ = U/V
where V is the volume of the wire.
Therefore, the ratio of elastic potential energy to energy density is given by:
U/ρ = (1/2 * Y * A * α^2)/V
= (1/2 * Y * α^2) * (A/V)
But A/V is the cross-sectional area of the wire, which is constant for a given wire.
Therefore, U/ρ is proportional to α^2.
Thus, the correct option is (C) volume of the wire.
Free Test
FREE
| Start Free Test |
Community Answer
A metallic wire is suspended by attaching some weight to it. If α is t...
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
A metallic wire is suspended by attaching some weight to it. If α is the longitudinal strain and Y is Young's modulus, then the ratio between elastic potential energy and the energy density is equal toa)strain in the wireb)stress in the wirec)volume of the wired)Young's modulus of the wireCorrect answer is option 'C'. Can you explain this answer?
Question Description
A metallic wire is suspended by attaching some weight to it. If α is the longitudinal strain and Y is Young's modulus, then the ratio between elastic potential energy and the energy density is equal toa)strain in the wireb)stress in the wirec)volume of the wired)Young's modulus of the wireCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A metallic wire is suspended by attaching some weight to it. If α is the longitudinal strain and Y is Young's modulus, then the ratio between elastic potential energy and the energy density is equal toa)strain in the wireb)stress in the wirec)volume of the wired)Young's modulus of the wireCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metallic wire is suspended by attaching some weight to it. If α is the longitudinal strain and Y is Young's modulus, then the ratio between elastic potential energy and the energy density is equal toa)strain in the wireb)stress in the wirec)volume of the wired)Young's modulus of the wireCorrect answer is option 'C'. Can you explain this answer?.
A metallic wire is suspended by attaching some weight to it. If α is the longitudinal strain and Y is Young's modulus, then the ratio between elastic potential energy and the energy density is equal toa)strain in the wireb)stress in the wirec)volume of the wired)Young's modulus of the wireCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A metallic wire is suspended by attaching some weight to it. If α is the longitudinal strain and Y is Young's modulus, then the ratio between elastic potential energy and the energy density is equal toa)strain in the wireb)stress in the wirec)volume of the wired)Young's modulus of the wireCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metallic wire is suspended by attaching some weight to it. If α is the longitudinal strain and Y is Young's modulus, then the ratio between elastic potential energy and the energy density is equal toa)strain in the wireb)stress in the wirec)volume of the wired)Young's modulus of the wireCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A metallic wire is suspended by attaching some weight to it. If α is the longitudinal strain and Y is Young's modulus, then the ratio between elastic potential energy and the energy density is equal toa)strain in the wireb)stress in the wirec)volume of the wired)Young's modulus of the wireCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of A metallic wire is suspended by attaching some weight to it. If α is the longitudinal strain and Y is Young's modulus, then the ratio between elastic potential energy and the energy density is equal toa)strain in the wireb)stress in the wirec)volume of the wired)Young's modulus of the wireCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A metallic wire is suspended by attaching some weight to it. If α is the longitudinal strain and Y is Young's modulus, then the ratio between elastic potential energy and the energy density is equal toa)strain in the wireb)stress in the wirec)volume of the wired)Young's modulus of the wireCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A metallic wire is suspended by attaching some weight to it. If α is the longitudinal strain and Y is Young's modulus, then the ratio between elastic potential energy and the energy density is equal toa)strain in the wireb)stress in the wirec)volume of the wired)Young's modulus of the wireCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A metallic wire is suspended by attaching some weight to it. If α is the longitudinal strain and Y is Young's modulus, then the ratio between elastic potential energy and the energy density is equal toa)strain in the wireb)stress in the wirec)volume of the wired)Young's modulus of the wireCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A metallic wire is suspended by attaching some weight to it. If α is the longitudinal strain and Y is Young's modulus, then the ratio between elastic potential energy and the energy density is equal toa)strain in the wireb)stress in the wirec)volume of the wired)Young's modulus of the wireCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup