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Properties of Matter question

2020 · Q141
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Properties of Matter question

2020 · Q141

NEETPhysicsProperties of MatterMCQ+4 / −1
A wire of length L, are of cross section A is hanging from a fixed support. The length of the wire changed to L1 when mass M is suspended from its free end. The expression for Young's modulus is :
  1. A
    Mg(L1−L)AL{{Mg\left( {{L_1} - L} \right)} \over {AL}}ALMg(L1​−L)​
  2. B
    MgLAL1{{MgL} \over {A{L_1}}}AL1​MgL​
  3. C
    MgLA(L1−L){{MgL} \over {A\left( {{L_1} - L} \right)}}A(L1​−L)MgL​
  4. D
    MgL1AL{{Mg{L_1}} \over {AL}}ALMgL1​​
View written solutionFree

Correct answer: C

Stress=MgAStress = {{Mg} \over A}Stress=AMg​

Strain=ΔLL=L−1−LLStrain = {{\Delta L} \over L} = {{{L_{ - 1}} - L} \over L}Strain=LΔL​=LL−1​−L​

Young's modulus = StressStrain{{Stress} \over {Strain}}StrainStress​

= MgLA(L1−L){{MgL} \over {A\left( {{L_1} - L} \right)}}A(L1​−L)MgL​

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