Mechanical Properties of Solids - Result Question 1

1. A wire of length L, area of cross section A is hanging from a fixed support. The length of the wire changes to L1 when mass M is suspended from its free end. The expression for Young’s modulus is :

[2020]

(a) Mg(L1−L)AL

(b) MgLAL1

(c) MgLA(L1−L)

(d) MgL1AL

Show Answer

Solution:

  1. (c) Stress = force  cross-section area =MgA

Strain = change in length  original length =ΔLL=L1−LL

Young’s modulus, Y= stress  strain =MgLA(L1−L)

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