Question:

Three equal masses of $3 \,kg$ are connected by massless string of cross sectional area $0.005$ $cm^{2}$ and Young?? modulus $2\times10^{11} N /m^{2}$. In the absence of friction, the longitudinal strain in the wire

Updated On: Feb 19, 2024
  • $A$ is $10^{-4}$
  • $B$ is $2\times10^{-4}$
  • Both (a) and (b)
  • None of these
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The Correct Option is C

Solution and Explanation

$3g-T_{B}=3a$ $T_{A}=3a$
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Concepts Used:

Hooke’s Law

Hooke’s Law states that for small deformities, the stress and strain are proportional to each other. Thus,

Stress ∝ Strain

Stress = k × Strain … where k is the Modulus of Elasticity.

When a limited amount of Force or deformation is involved then concept of Hooke’s Law is only applicable . If we consider the fact, then we can deviate from Hooke's Law. This is because of their extreme Elastic limits.