The load versus elongation graph for four wires of the same material shown in graph. The thickest wire is represented by the wire

Question

The load versus elongation graph for four wires of the same material shown in graph. The thickest wire is represented by the wire <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/b2d6603bb900dd9b8c4c473dfcf700da-.png" /> (A) OD (B)  OC (C) OB (D) OA

Tardigrade Admin · Accepted Answer

Y=(F × L/A × Δ L) ⇒ Δ L=(F L/A Y) ∴ Δ L propto (1/r2) <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/ed9625f046dc223c59ccd424f0820e4c-.png" />

Q. The load versus elongation graph for four wires of the same material shown in graph. The thickest wire is represented by the wire

$O D$

$OC$

$OB$

$O A$

$Y = \frac{F \times L}{A \times Δ L}$
$\Rightarrow Δ L = \frac{F L}{A Y}$
$∴ Δ L \propto \frac{1}{r ^{2}}$