Question

Ratio of longitudinal stress in case (I) & case (II) is
[Consider both wires are made of the same material]

• A. $2$
• B. $1/2$
• C. $1$
• D. $1/3$

Answer 1

The correct option is C $1$

Longitudinal stress in case I ${\sigma }_1=\frac{F_1}{A_1}=\frac{3}{3}=1{\text{N/m}}^2$
Longitudinal stress in case II ${\sigma }_2=\frac{F_2}{A_2}=\frac{6}{6}=1{\text{N/m}}^2$
$\therefore \frac{{\sigma }_1}{{\sigma }_2}=\frac{1}{1}=1$