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A wire of length L and cross-sectional area A is stretched by a force F. If the

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Question: A wire of length L and cross-sectional area A is stretched by a force F. If the Young\'s modulus of the material is Y, what is the extension of the wire?

Options:

  1. F * L / (A * Y)
  2. A * Y * L / F
  3. F * A / (Y * L)
  4. Y * L / (F * A)

Correct Answer: F * L / (A * Y)

Solution: 

The extension of the wire can be calculated using the formula: extension = (F * L) / (A * Y).

A wire of length L and cross-sectional area A is stretched by a force F. If the

Practice Questions

Q1
A wire of length L and cross-sectional area A is stretched by a force F. If the Young's modulus of the material is Y, what is the extension of the wire?
  1. F * L / (A * Y)
  2. A * Y * L / F
  3. F * A / (Y * L)
  4. Y * L / (F * A)

Questions & Step-by-Step Solutions

A wire of length L and cross-sectional area A is stretched by a force F. If the Young's modulus of the material is Y, what is the extension of the wire?
Correct Answer: extension = (F * L) / (A * Y)
  • Step 1: Understand the terms involved. You have a wire with a certain length (L), a cross-sectional area (A), and it is being stretched by a force (F).
  • Step 2: Know what Young's modulus (Y) is. It is a measure of the stiffness of the material of the wire.
  • Step 3: Identify the formula to calculate the extension of the wire. The formula is: extension = (F * L) / (A * Y).
  • Step 4: Plug in the values you have for F (force), L (length), A (cross-sectional area), and Y (Young's modulus) into the formula.
  • Step 5: Perform the calculation to find the extension of the wire.
  • Young's Modulus – Young's modulus (Y) is a measure of the stiffness of a material, defined as the ratio of stress (force per unit area) to strain (proportional deformation in length).
  • Stress and Strain – Stress is the force applied per unit area (F/A), and strain is the relative change in length (extension/original length).
  • Extension Calculation – The extension of a wire under tension can be calculated using the relationship between force, length, cross-sectional area, and Young's modulus.
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