Maharashtra State BoardHSC Science (General) 11th
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Long answer type question. Describe an experiment to find out Young’s modulus of the material in the form of a long string wire. - Physics

Answer in Brief

Long answer type question.

Describe an experiment to find out Young’s modulus of the material in the form of a long string wire.

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Solution

Experimental description to find Young’s modulus:

  1. Consider a metal wire suspended from a rigid support. A load is attached to the free end of the wire. Due to this, the deforming force gets applied to the free end of wire in downward direction and it produces a change in length.
    Let,
    L = original length of wire,
    Mg = weight suspended to wire,
    l = extension or elongation,
    (L + l) = new length of wire
    r = radius of the cross-section of wire
  2. In its equilibrium position,
    `"Longitudinal stress" = "Applied force"/"Area of cross section"`
    `= "F"/"A"`
    `= "Mg"/(pi"r"^2)`
    `"Longitudinal strain" = "Change in length"/"Original length" = l/"L"`
  3. From definition,
    `"Young’s modulus (Y)" = "longitudinal stress"/"longitudinal strain"`
    `= ("Mg"//pi"r"^2)/(l//"L")`
    ∴ Y = `"Mg L"/(pi"r"^2 l)`
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APPEARS IN

Balbharati Physics 11th Standard Maharashtra State Board
Chapter 6 Mechanical Properties of Solids
Exercises | Q 4. (iii) | Page 112
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