The load versus elongation graph of four wires of same length and of the same material is shown in figure. The thinnest wire is represented by the line

Question

The load versus elongation graph of four wires of same length and of the same material is shown in figure. The thinnest wire is represented by the line (A) OA (B) OB (C) OC (D) OD

Tardigrade Admin · Accepted Answer

Y=(F × l/A × Δ l) or (F( text load )/Δ l text (elongation ))=(Y A/l) or slope propto A or slope propto r2 For thinnest wire slope is minimum. ie, wire O A is thinnest.

Q. The load versus elongation graph of four wires of same length and of the same material is shown in figure. The thinnest wire is represented by the line

OA

OB

OC

OD

$Y = \frac{F \times l}{A \times Δ l}$
or $\frac{F ( load )}{Δ l (elongation )} = \frac{Y A}{l}$
or slope $\propto A$
or slope $\propto r^{2}$
For thinnest wire slope is minimum.
ie, wire $O A$ is thinnest.

Q. The load versus elongation graph of four wires of same length and of the same material is shown in figure. The thinnest wire is represented by the line

OA

OB

OC

OD

Y=A×ΔlF×l​ or Δl (elongation )F( load )​=lYA​ or slope ∝A or slope ∝r2 For thinnest wire slope is minimum. ie, wire OA is thinnest.

$Y = \frac{F \times l}{A \times Δ l}$
or $\frac{F ( load )}{Δ l (elongation )} = \frac{Y A}{l}$
or slope $\propto A$
or slope $\propto r^{2}$
For thinnest wire slope is minimum.
ie, wire $O A$ is thinnest.