First slide

Elastic Modulie

Question

The wires of same length and Young's modulus are subjected to same tensile force. If $∆ l$ is the change in length of a wire, and c is the circumference of the wire, find the correct graph. The experiment is performed on the wires of different circumferences:

Moderate

A
B
C
D

Solution

$∆ l = \frac{Fl}{Ay} = \frac{Fl}{(\frac{{πd}^{2}}{4}) y} = \frac{4 Fl}{{πd}^{2} y}; ∆ l \propto (\frac{l}{d^{2}})$
As circumference (= $πd)$ increases, $d^{2}$ increases, ( $∆ l$ ) decreases.

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