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Two wires of same radius and length are subjected to the same load. One wire is of steel and the other is of copper. If Young's modulus of steel is twice that of copper, then ratio of elastic potential energies stored per unit volume in steel wire to that in copper wire is
- a)1 : 2
- b)2 : 1
- c)1 : 4
- d)4 : 1
Correct answer is option 'A'. Can you explain this answer?
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Two wires of same radius and length are subjected to the same load. On...
Given:
- Two wires of the same radius and length
- Same load applied to both wires
- Young's modulus of steel is twice that of copper
To find:
The ratio of elastic potential energies stored per unit volume in the steel wire to that in the copper wire.
Solution:
The elastic potential energy stored in a wire is given by the formula:
Elastic potential energy = (1/2) * Stress * Strain * Volume
Step 1: Find the stress in both wires.
Stress is given by the formula:
Stress = Force / Area
Since the load applied to both wires is the same, the force is the same for both wires.
As the wires have the same radius, the area of both wires is the same.
Therefore, the stress in both wires is the same.
Step 2: Find the strain in both wires.
Strain is given by the formula:
Strain = Change in length / Original length
As the wires have the same length, the change in length is the same for both wires.
Therefore, the strain in both wires is the same.
Step 3: Find the volume of both wires.
The volume of a wire is given by the formula:
Volume = π * radius^2 * length
As the wires have the same radius and length, the volume of both wires is the same.
Step 4: Compare the elastic potential energies.
Since the stress, strain, and volume are the same for both wires, the only difference is the Young's modulus.
The Young's modulus of steel is twice that of copper.
The formula for Young's modulus is:
Young's modulus = Stress / Strain
Since the stress and strain are the same for both wires, the ratio of Young's modulus for steel to copper is 2:1.
The elastic potential energy is directly proportional to the Young's modulus.
Therefore, the ratio of elastic potential energies stored per unit volume in the steel wire to that in the copper wire is 1:2.
Hence, the correct answer is option A) 1:2.
- Two wires of the same radius and length
- Same load applied to both wires
- Young's modulus of steel is twice that of copper
To find:
The ratio of elastic potential energies stored per unit volume in the steel wire to that in the copper wire.
Solution:
The elastic potential energy stored in a wire is given by the formula:
Elastic potential energy = (1/2) * Stress * Strain * Volume
Step 1: Find the stress in both wires.
Stress is given by the formula:
Stress = Force / Area
Since the load applied to both wires is the same, the force is the same for both wires.
As the wires have the same radius, the area of both wires is the same.
Therefore, the stress in both wires is the same.
Step 2: Find the strain in both wires.
Strain is given by the formula:
Strain = Change in length / Original length
As the wires have the same length, the change in length is the same for both wires.
Therefore, the strain in both wires is the same.
Step 3: Find the volume of both wires.
The volume of a wire is given by the formula:
Volume = π * radius^2 * length
As the wires have the same radius and length, the volume of both wires is the same.
Step 4: Compare the elastic potential energies.
Since the stress, strain, and volume are the same for both wires, the only difference is the Young's modulus.
The Young's modulus of steel is twice that of copper.
The formula for Young's modulus is:
Young's modulus = Stress / Strain
Since the stress and strain are the same for both wires, the ratio of Young's modulus for steel to copper is 2:1.
The elastic potential energy is directly proportional to the Young's modulus.
Therefore, the ratio of elastic potential energies stored per unit volume in the steel wire to that in the copper wire is 1:2.
Hence, the correct answer is option A) 1:2.
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Two wires of same radius and length are subjected to the same load. On...
U is inversely proportional to young's modulus
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Two wires of same radius and length are subjected to the same load. One wire is of steel and the other is of copper. If Young's modulus of steel is twice that of copper, then ratio of elastic potential energies stored per unit volume in steel wire to that in copper wire isa)1 : 2b)2 : 1c)1 : 4d)4 : 1Correct answer is option 'A'. Can you explain this answer?
Question Description
Two wires of same radius and length are subjected to the same load. One wire is of steel and the other is of copper. If Young's modulus of steel is twice that of copper, then ratio of elastic potential energies stored per unit volume in steel wire to that in copper wire isa)1 : 2b)2 : 1c)1 : 4d)4 : 1Correct answer is option 'A'. 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 Two wires of same radius and length are subjected to the same load. One wire is of steel and the other is of copper. If Young's modulus of steel is twice that of copper, then ratio of elastic potential energies stored per unit volume in steel wire to that in copper wire isa)1 : 2b)2 : 1c)1 : 4d)4 : 1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two wires of same radius and length are subjected to the same load. One wire is of steel and the other is of copper. If Young's modulus of steel is twice that of copper, then ratio of elastic potential energies stored per unit volume in steel wire to that in copper wire isa)1 : 2b)2 : 1c)1 : 4d)4 : 1Correct answer is option 'A'. Can you explain this answer?.
Two wires of same radius and length are subjected to the same load. One wire is of steel and the other is of copper. If Young's modulus of steel is twice that of copper, then ratio of elastic potential energies stored per unit volume in steel wire to that in copper wire isa)1 : 2b)2 : 1c)1 : 4d)4 : 1Correct answer is option 'A'. 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 Two wires of same radius and length are subjected to the same load. One wire is of steel and the other is of copper. If Young's modulus of steel is twice that of copper, then ratio of elastic potential energies stored per unit volume in steel wire to that in copper wire isa)1 : 2b)2 : 1c)1 : 4d)4 : 1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two wires of same radius and length are subjected to the same load. One wire is of steel and the other is of copper. If Young's modulus of steel is twice that of copper, then ratio of elastic potential energies stored per unit volume in steel wire to that in copper wire isa)1 : 2b)2 : 1c)1 : 4d)4 : 1Correct answer is option 'A'. Can you explain this answer?.
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Two wires of same radius and length are subjected to the same load. One wire is of steel and the other is of copper. If Young's modulus of steel is twice that of copper, then ratio of elastic potential energies stored per unit volume in steel wire to that in copper wire isa)1 : 2b)2 : 1c)1 : 4d)4 : 1Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Two wires of same radius and length are subjected to the same load. One wire is of steel and the other is of copper. If Young's modulus of steel is twice that of copper, then ratio of elastic potential energies stored per unit volume in steel wire to that in copper wire isa)1 : 2b)2 : 1c)1 : 4d)4 : 1Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Two wires of same radius and length are subjected to the same load. One wire is of steel and the other is of copper. If Young's modulus of steel is twice that of copper, then ratio of elastic potential energies stored per unit volume in steel wire to that in copper wire isa)1 : 2b)2 : 1c)1 : 4d)4 : 1Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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